Journal of Intelligent & Fuzzy Systems - Volume 32, issue 1

Authors: Sun, Qian | Wu, Chong | Li, Yong-li

Article Type: Research Article

Abstract: Since the traditional probabilistic neural network (PNN) cannot systematically solve the difficulty of estimating probability function and the high space complexity, this paper introduces backpropagation (BP) algorithm into the classical PNN. By designing appropriate error function and BP algorithm based on the steepest descent, an improved BP-PNN is presented, with its algorithm and effectiveness deduced. Three synthetic datasets and ten benchmark problems have been tested, compared with Probabilistic Neural Networks (PNN), Multi-Layered Perceptron (MLP) and Support Vector Machine (SVM). The results prove that (1) the accuracy of classification of BP-PNN is much higher than PNN, and it has a significant …advantage compared with MLP and SVM; (2) BP-PNN has strong capacity to identify the importance of input indicators; (3) BP-PNN is a new pattern classification method to estimate the probabilistic function, reduce the space complexity and identify the importance of the indicators. Show more

Keywords: Probabilistic neural network, backpropagation algorithm, classification, decision analysis

DOI: 10.3233/JIFS-151415

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 215-227, 2017

Authors: Amiri, Maryam | Feizi-Derakhshi, Mohammad-Reza | Mohammad-Khanli, Leili

Article Type: Research Article

Abstract: Reinforcement Learning (RL) is used to find the best policy. A policy is a rule that maps a given state to an appropriate action. The RL is used to learn utility functions for dynamic resource allocation. According to the future demand of resources, the learned policy maps the appropriate resources in a way that wasting energy and resources is stopped and Service Level Agreements (SLA) violation and Quality of Service (QoS) dropping are also avoided. However, The RL encounters a lot of problems in this field such as: having good policies in the early phases of learning and the learning …time to converge to the optimal policy. This paper deals with these problems using the appropriate initialization of Q  learning and a new fuzzy approach to increase the convergence speed to the optimal policy. The fuzzy approach presented in this paper improves the accuracy and speed of convergence of Q  learning. Firstly, the proposed method predicts the future workload, then determines the appropriate number of physical machines by using the optimal policy learned by improved Q  learning. The evaluation results show the advantages of accuracy and convergence speed of the proposed method in comparison with the similar methods. Show more

Keywords: Q learning, fuzzy approach, IDS fitted Q, cloud computing, resources provisioning

DOI: 10.3233/JIFS-151445

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 229-240, 2017

Authors: Fakharzadeh Jahromi, Alireza | Zarei, Fateme

Article Type: Research Article

Abstract: Regarding the magnificent ability of the fuzzy logic in explanation and analyzing the real phenomena, using fuzzy data is growing rapidly. But the tools for doing data mining in a fuzzy data set; especially in high dimension, are not sufficient. Considering the remarkable ability of the LoOP (Local Outlier Probabilities) method in outlier detecting in high dimensional crisp data set, like supplying for each data object, determining outlier probability as scar which is easily explainable competitor on various synthetic and real world data sets, the aim of this article is to present an extended version of this method for using …in high dimensional fuzzy database. In order to provide a completely fuzzy strategy, first we propose a new approach to assigning distance between fuzzy high dimension data based on Hausdorff and Vertex distance. After proving that this distance measuring is a metric, since LoOP is a distance based method, we redefined the LoOP algorithm step by step based on the new meter. Then we allocate an outlier score in the range of [0,1] to each data based on LoOP idea, to identify the outliers. The presented numerical tests show the efficiency of the new method, for random cases of knowing and unknowing the outlier and a real case. The results shows also the stability and robustness of the presented method more that its accuracy. Show more

Keywords: Triangular fuzzy number, LoOP algorithm, Hausdorff distance, Vertex distance, outlier

DOI: 10.3233/JIFS-151447

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 241-248, 2017

Authors: Wu, Song-Qiang

Article Type: Research Article

Abstract: The enhancement of small and micro enterprises’ technological innovation capability not only helps enterprise increase its core competence to adapt to the changeful environment, but also helps our country to increase its national competence. In order to enhance small and micro enterprises’ technological innovation capability, enterprises should build a well technological innovation system, increase the technology innovation input and be active in technological innovation activities, and at the same time, it is essential for the government to play a role of leading, make effective policies and build good environment. Therefore, it is necessary to collect and study on small and …micro enterprises’ technological innovation capability related data, cases and policies in order to know the current situation and trend of small and micro enterprises’ technological innovation capability. In order to make the above-mentioned work more convenient and more efficient, in this paper, we investigate the multiple attribute decision making for evaluating the technological innovation capability of small and micro enterprises with hesitant fuzzy information. Motivated by the ideal of dependent aggregation, we develop the dependent hesitant fuzzy Hamacher weighted geometric (DHFHWG) operator, in which the associated weights only depend on the aggregated hesitant fuzzy arguments and can relieve the influence of unfair hesitant fuzzy arguments on the aggregated results by assigning low weights to those “false” and “biased” ones and then apply them to develop an approach for multiple attribute decision making with hesitant fuzzy information. Finally, an illustrative example for evaluating the technological innovation capability of small and micro enterprises is given to verify the developed approach. Show more

Keywords: Multiple attribute decision making, hesitant fuzzy information, dependent hesitant fuzzy Hamacher weighted geometric (DHFHWG) operator, technological innovation capability, small and micro enterprises

DOI: 10.3233/JIFS-151494

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 249-256, 2017

Authors: Ko, Jung Mi | Kim, Yong Chan

Article Type: Research Article

Abstract: In this paper, we introduce soft implicative L -fuzzy interior and closure operators in a complete residuated lattice. We study the relations among soft implicative L -fuzzy interior and closure operators, soft L -fuzzy topologies and soft L -fuzzy cotopologies. In particular, we study some functorial relationships among previous spaces. We give their examples.

Keywords: Complete residuated lattice, soft implicative L-fuzzy interior and closure operators, soft L-fuzzy (co)topologies, interior (closed) soft maps, continuous soft maps

DOI: 10.3233/JIFS-151521

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 257-270, 2017

Authors: Zhu, Li-Cai | Hou, Jin-Long | Wang, Lv

Article Type: Research Article

Abstract: School physical education is the basis of improving the national physical quality, in the national total 80% people in rural, sports education in the national education will play a decisive role. Sports facilities in rural primary and secondary schools is an important material basis to ensure conditions in rural middle and primary school students in sports classroom teaching and extracurricular physical exercise. The school sports are to enhance the physical fitness of students, promoting the school quality education, culture plays a very important role in students’ consciousness of lifelong physical education. In this paper, we introduce some operations of the …interval-valued intuitionistic fuzzy sets and further propose the interval-valued intuitionistic fuzzy Hamacher power weighted geometric (IVIFHPWG) operator. We also study some desirable properties of this operator, such as idempotency, Boundedness and monotonicity. Then, we apply the IVIFHPWG operator to solve multiple attribute decision making for evaluating the operation modes of sports sites facilities with interval-valued intuitionistic fuzzy information. Finally, a practical example is used to illustrate the developed models. Show more

Keywords: Interval-valued intuitionistic fuzzy numbers, interval-valued intuitionistic fuzzy Hamacher power weighted geometric (IVIFHPWG) operator, sports sites facilities, operation modes

DOI: 10.3233/JIFS-151562

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 271-277, 2017

Authors: Wang, Pei | Li, Qingguo

Article Type: Research Article

Abstract: In this paper, we define covering-based rough membership function for the tenth type of covering-based rough sets which was examined by Tsang et al. and obtain some properties about the rough membership function which bases on C 10 ¯ as well as characterize the covering-based rough set approximation operators from the viewpoint of numerical values. An example in evidence-based medicine are proposed to illustrate the practical application backgrounds of Pawlak’s rough membership function in real life. By this example, we can show that this covering-based rough membership function is more realistic than Pawlak’s rough membership …function in applications of real life. Show more

Keywords: C10, covering-based rough set, fuzzy set, Rough membership function, numerical characterization

DOI: 10.3233/JIFS-151608

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 279-289, 2017

Authors: Deli, Irfan | Şubaş, Yusuf

Article Type: Research Article

Abstract: Since the single valued triangular neutrosophic number (SVTrN-number) is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers, it may express more abundant and flexible information as compared with the triangular fuzzy numbers and triangular intuitionistic fuzzy numbers. This article introduces an approach to handle multi-criteria decision making (MCDM) problems under the SVTrN-numbers. Therefore, we first proposed some new geometric operators are called SVTrN weighted geometric operator, SVTrN ordered weighted geometric operator and SVTrN ordered hybrid weighted geometric operator. Also we studied some desirable properties of the geometric operators. And then, an approach based on the SVTrN ordered …hybrid weighted geometric operator is developed to solve multi-criteria decision making problems with SVTrN-number. Finally, a numerical example is used to demonstrate how to apply the proposed approach. Show more

Keywords: Neutrosophic set, single valued neutrosophic numbers, triangular neutrosophic numbers, geometric operators, decision making

DOI: 10.3233/JIFS-151677

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 291-301, 2017

Authors: Liu, Peide | Zhang, Lili

Article Type: Research Article

Abstract: In this paper, we first extend the Heronian mean (HM), which can capture the correlations of the aggregated arguments, to aggregate the neutrosophic hesitant fuzzy set (NHFS) which is the generalization of neutrosophic sets (NSs) and hesitant fuzzy sets (HFSs). And then we propose some new Heronian mean operators for NHFS, including the neutrosophic hesitant fuzzy improved generalized weighted Heronian mean (NHFIGWHM) operator and the neutrosophic hesitant fuzzy improved generalized geometric weighted Heronian mean (NHFIGGWHM) operator. At the same time, some properties about these operators are investigated, such as idempotency, monotonicity, boundedness and so on. Furthermore, an approach for multiple …criteria decision making (MCDM) based these operators is proposed. Finally, an example is given to illustrate the application and effectiveness of the developed approach. Show more

Keywords: Neutrosophic hesitant fuzzy set, Heronian mean operators, multiple criteria decision making

DOI: 10.3233/JIFS-151760

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 303-319, 2017

Authors: Wang, Zutong | Zheng, Mingfa | Guo, Jiansheng | Huang, Hanqiao

Article Type: Research Article

Abstract: Unmanned Aerial Vehicle (UAV) is very useful for information gathering in Intelligence, Surveillance, and Reconnaissance (ISR) mission. On the basis of uncertainty theory, the main purpose of this paper is to study a new kind of UAV ISR mission planning problem involving multiple objectives under uncertain environment. In particular, the mission planning objectives are influenced by the same uncertain factors simultaneously, that is to say, they are correlated or dependent with each other. In this case, the traditional multiobjective approach cannot guarantee the uncertain nature and take into account the dependence among uncertain objectives in the UAV ISR mission planning …problem. In order to overcome the disadvantage in traditional approach, a new solution approach is introduced for obtaining the P E Pareto efficient routes for it, which involves transforming the original ISR mission planning problem into a single objective uncertain programming problem. Two specific compromise models are proposed using this new solution approach respectively, whose validity is proved theoretically. Finally, an application case study with 13 ISR targets is provided and solved. The results show that the proposed model and solution approach have excellent consistency and efficiency in solving the uncertain UAV ISR mission planning problem presented in this paper. Show more

Keywords: Unmanned aerial vehicle, uncertainty theory, multiobjective, artificial bee colony algorithm programming

DOI: 10.3233/JIFS-151781

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 321-335, 2017

Authors: Aliannezhadi, Samaneh | Ardalan, Shadi Shahab | Abbasi Molai, Ali

Article Type: Research Article

Abstract: In this paper, the problem of maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints is studied. First of all, it is shown that the bipolar max-product Fuzzy Relation Inequality (FRI) system can equivalently be converted to a bipolar max-product Fuzzy Relation Equation (FRE) system. Hence, the structure of feasible domain of the problem is determined in the case of the bipolar max-product FRE system. It is shown that its solution set is non-convex, in a general case. Some sufficient conditions are proposed for solution existence of its feasible domain. An algorithm is designed to solve …the optimization problem with regard to the structure of its feasible domain and the properties of the objective function. Its importance is also illustrated by an application example in the area of economics and covering problem. Some numerical examples are given to illustrate the above points. Show more

Keywords: Bipolar fuzzy relation equation, max-product composition, non-convex optimization, bipolar variables

DOI: 10.3233/JIFS-151820

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 337-350, 2017

Authors: Hemmati, R. | Rahideh, A.

Article Type: Research Article

Abstract: In this investigation, an optimal design procedure for tubular linear brushless permanent magnet (PM) machines has been proposed. A two-dimensional analytical magnetic field model in cylindrical coordinates has been employed to quickly and accurately calculate the magnetic flux density distribution and electromagnetic force. The objectives of the optimization problem are to simultaneously minimize the power losses and machine volume and the constraints are to ensure to develop the required level of electromagnetic force and to avoid saturation in the back-iron. The optimization problem has been solved using two types of metaheuristic optimization techniques, i.e., particle swarm optimization (PSO), and fuzzy …adaptive PSO (FAPSO). The design procedure has been implemented on a case study to illustrate the capability of the proposed approach. Show more

Keywords: Analytic solution, electromagnetic force, linear machines, metaheuristic, optimization, two-dimensional model

DOI: 10.3233/JIFS-151847

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 351-362, 2017

Authors: Armand, A. | Allahviranloo, T. | Abbasbandy, S. | Gouyandeh, Z.

Article Type: Research Article

Abstract: The fuzzy variation iteration method is investigated to solve a linear fractional differential equation under Caputo generalized Hukuhara differentiability. This method is based on the use of Lagrange multipliers for identification of optimal value in the correction functionals by using fuzzy integration by parts. In this scheme, the correction, functional can make without converting fuzzy fractional differential equation to two crisp equations. To this, derivative of the product of two functions and integration by parts is obtained for fuzzy valued functions. The effectiveness of the proposed method is verified by solving two of the important applications of these equations are …fractional relaxation and oscillation differential equations. Show more

Keywords: Caputo generalized Hukuhara derivative, fuzzy integration by parts, fuzzy variation iteration method, fractional relaxation-oscillation differential equation, basset equation, Bagley-Torvik equation

DOI: 10.3233/JIFS-151940

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 363-371, 2017

Authors: Kamankesh, Hamidreza | Agelidis, Vassilios G.

Article Type: Research Article

Abstract: This paper investigates the optimal operation and management of micro-grids (MGs) considering the high penetration of different types of renewable energy sources (RESs) and plug-in electric vehicles (PEVs). Optimal operation of MG is a precious and economic strategy for improving the situation of MG from different aspects such as reducing power losses and total costs, improving the reliability and enhancing the voltage level of buses. In order to achieve these goals, a new formulation is proposed to model the stochastic and volatile behaviors of RESs as well as PEVs. Also, the idea of vehicle-2-grid (V2G) is employed to provide a …bi-directional power exchange (either charging/discharging) between PEV and the main grid during the parking hours. In order to model the uncertainties of the problem, a new sufficient stochastic optimization framework based on unscented transform (UT) and krill herd algorithm (KH) is proposed too. The feasibility and performance of the proposed method are examined on a typical grid-connected MG considering different types of RESs including Photovoltaics (PVs), Fuel Cell (FC), Micro Turbine (MT) and Wind Turbine (WT). Show more

Keywords: Micro grid (RMG), renewable energy sources (RESs), plug-in electric vehicle (PEV) and Vehicle-2-Grid (V2G)

DOI: 10.3233/JIFS-151955

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 373-387, 2017

Authors: Zirkohi, Majid Moradi

Article Type: Research Article

Abstract: Hyperchaotic systems have more complex dynamics than the low-dimensional chaotic system. Since hyperchaotic systems have many applications, controlling these systems for engineering applications is a new and attractive field. This paper investigates a design scheme for a class of nonlinear systems with uncertainties and unknown disturbances. In this regard, the idea of classical model reference control, feedback linearization, sliding mode control technique and interval type-2 fuzzy systems (IT2FLS) are combined to suggest a novel hybrid control scheme to resolve the model reference control problem and address the tracking problem for the novel uncertain hyperchaotic Lü system. The IT2FLS is used …to approximate the unknown nonlinear terms in control law. The interval type-2 fuzzy adaptation law adjusts the consequent parameters of the rules based on a Lyapunov synthesis approach. It is further equipped with a novel PI type switching structure to attenuate the chattering of the switching law resulting from the fast and large bounded unknown disturbances. There are three major contributions worthy of emphasis. Firstly, the dynamics of the system need not to be known and just the relative degree should be known in advance, which is more flexible in the real implementations. Secondly, it can be applied to a wide range of chaotic or hyperchaotic systems, which is its unique feature. Finally, having applied the proposed approach, both the transient and steady state behavior are improved. Using the Lyapunov theory, the stability of the proposed controller is proved. Compared to conventional sliding mode control and type-1 fuzzy controller, simulation results illustrate that although the proposed approach is highly effective in providing a good tracking performance even in the face of external disturbance and uncertainty; however, it is more computational compared to other mentioned methods, as expected. Show more

Keywords: Hyperchaotic systems, type-2 fuzzy systems, Lü system, PI type switching structure

DOI: 10.3233/JIFS-151981

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 389-400, 2017

Authors: Wang, Yongquan | Chen, Tianjiao

Article Type: Research Article

Abstract: Adhesively bonded bars are a new technique of bars anchorage. It has been widely used in rehabilitation, renovation and repairs of concrete structures, as it is easy to anchor steel to concrete. But the bond behavior of adhesively bonded bar is greatly different from that of ordinary bars in concrete. No analysis methods for adhesively bonded bars are presented in concrete structure code. Although there are plenty of experiment and study about this field, but they are mainly about static study. There is few experiments and study about anti-seismic, so we know little about the seismic behavior of chemically planted-bar. …In this paper, we investigate the multiple attribute decision making problems for performance evaluation on the water endurance of chemical adhesive steel bar in concrete with triangular fuzzy information. Motivated by the ideal of Bonferroni mean and dependent aggregating operators, we develop the dependent triangular fuzzy Bonferroni mean (DTFBM) operator for aggregating the triangular fuzzy information. Finally, a practical example for performance evaluation on the water endurance of chemical adhesive steel bar in concrete is given to verify the developed approach and to demonstrate its practicality and effectiveness. Show more

Keywords: Performance evaluation, triangular fuzzy numbers, Bonferroni mean, dependent triangular fuzzy Bonferroni mean (DTFBM) operator, water endurance, chemical adhesive steel bar in concrete

DOI: 10.3233/JIFS-151994

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 401-407, 2017

Authors: Aghayi, Nazila

Article Type: Research Article

Abstract: Being a nonparametric method, data envelopment analysis (DEA) is confined to measuring the efficiency of a collection of decision making units (DMUs) consuming multiple crisp inputs to produce multiple crisp outputs. Since not all data in the real world have determined values, and input and output values for DMUs are often subject to fluctuation, the concept of fuzziness has been introduced to deal with such imprecise data. This study intends to evaluate the cost efficiency of DMUs in three different scenarios, with one distinct model proposed for each scenario. The main idea is to use the alpha-cut method and the …extension principle to convert the fuzzy cost efficiency model into a family of conventional crisp DEA models by obtaining one lower bound and one upper bound for the cost efficiency score of a DMU for any α varying between 0 and 1. When the lower and upper bounds are invertible with respect to α, the membership function of the fuzzy efficiency of a DMU— which falls within the scope of parametric programming problems— can be obtained by finding the inverse of the lower and upper bounds as well as employing the extension principle. In this case, the value of fuzzy cost efficiency varies between 0 and 1. Otherwise, the cost efficiency scores of DMUs can be specified as intervals, which are actually α-cuts of the fuzzy membership function, by collecting results for different α values. Furthermore, we demonstrate that Farrell’s decomposition also holds for cost efficiency with fuzzy data. In addition, all DMUs are divided into three classes in each scenario, with cost-efficient and cost-inefficient DMUs falling into independent classes. In other words, units which are cost-inefficient in the upper bound for any α ranging between 0 and 1 will definitely be cost-inefficient in the lower bound, too, and the units will be cost-efficient in the upper bound if they are cost-efficient in the lower bound for a specific α varying between 0 and 1. Moreover, the upper bound of units that are cost-inefficient in the lower bound could not be judged in terms of cost efficiency. Finally, a practical example dealing with data on all branches of the National Bank of Iran across Ardabil Province, Iran, during 2012–2014 is provided to demonstrate the applicability of the proposed method. Show more

Keywords: Data envelopment analysis, cost efficiency, membership function, parametric programming, α -cut, fuzzy

DOI: 10.3233/JIFS-152079

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 409-420, 2017

Authors: Arya, Rubi | Singh, Pitam

Article Type: Research Article

Abstract: This paper presents a fuzzy parameter based iterative method for solving multi-objective linear fractional optimization problems. Using the proposed method, number of ε -fuzzy efficient and fuzzy efficient solutions can be generated. The obtained fuzzy efficient solutions or ε -fuzzy efficient solutions have some addition features in terms of percentage contribution of each objective. The relative importance of each objective can be found in terms of satisfaction degree, value of membership function at the obtained solution, for each objective. Some theoretical results are also established for the validation of the proposed method and the method is coded in matlab (version …R2014b). The efficiency of the method is verified by applying on numerical problems. Show more

Keywords: Multi-objective optimization, linear fractional programming, multi-criteria decision making, fuzzy optimization, iterative method

DOI: 10.3233/JIFS-152087

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 421-433, 2017

Authors: Mirdar Harijani, Kh. | Anvariyeh, S.M.

Article Type: Research Article

Abstract: In this paper, fuzzy absolute value on a ring is defined. It is proved that every absolute value can induce a fuzzy absolute value. It is also proved that every fuzzy valued ring induce a fuzzy metric space and a fuzzy norm space. In addition, the notion of a Cauchy sequence and completion of a fuzzy valued ring are given and some of their properties are investigated. Finally, it is proved that every fuzzy valued ring has a completion.

Keywords: Completion, fuzzy absolute value, fuzzy metric space, fuzzy set, fuzzy valued ring

DOI: 10.3233/JIFS-152155

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 435-441, 2017

Authors: Mahanta, J. | Das, P.K.

Article Type: Research Article

Abstract: Fuzzy soft topological space was introduced and studied by B. Tanay et al. [8 ]. This paper introduces fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space alongwith the study of fuzzy soft closure and fuzzy soft interior. Further, separation axioms and connectedness are introduced and investigated for fuzzy soft topological spaces.

Keywords: Fuzzy soft point, fuzzy soft topological space, fuzzy soft closure, fuzzy soft connectedness, fuzzy soft separation

DOI: 10.3233/JIFS-152165

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 443-450, 2017

Authors: Wang, Ke | Zhou, Jian | Ralescu, Dan A.

Article Type: Research Article

Abstract: This paper introduces arithmetic operations for LR mixed fuzzy random variables commonly used in practice for modeling fuzzy stochastic phenomena. The operations are proposed based on mean chance measure, which as a natural extension of both the probability of a random event and the credibility of a fuzzy event, measures the mean or expected (in the sense of probability) credibility that the fuzzy random event occurs. Following from the proposed operational laws, the mean chance distributions of LR mixed fuzzy random variables can be deduced explicitly rather than obtained by simulation, which will provide greater convenience for the decision making …or optimization in mixed fuzzy and random environments. Furthermore, some important conclusions on the expected value operator defined via the mean chance measure as well as applications of the proposed arithmetic operations in system reliability analysis are also presented. Show more

Keywords: Fuzzy random variable, mean chance, operational law, expected value, reliability analysis

DOI: 10.3233/JIFS-152173

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 451-466, 2017

Authors: Kazemi, Seyed Mahmood | Rabbani, Masoud | Tavakkoli-Moghaddam, Reza | Shahreza, Farid Abolhassani

Article Type: Research Article

Abstract: The problem of delivering blood products from community blood centers to the demand points including hospital blood banks falls within the context of perishable inventory-routing problems (PIRP). This is due to the fact that the delivery should be made on the right time with the right delivery quantity at the right place such that the total possible perished items as well as routing and inventory costs are minimized. However, some unique characteristics of blood logistics including assigned and unassigned inventories, crossmatch release period, transfusion to crossmatch ratio and older-first policy have made the problem more difficult than the routine PIRPs …and thus proposing a new modeling of the problem is required. In this paper, we first develop a mixed integer programming formulation for blood inventory-routing problem. Then, to cope with uncertainties, a novel robust possibilistic programming (RPP) approach is proposed. Afterward, a novel iterative branch-and-cut is developed to solve a number of numerical examples to optimality. Finally, by implementing a test scenario on the data inspired from a real Iranian blood supply chain, the significance and applicability of the proposed model and RPP approach is proven. Show more

Keywords: Healthcare management, blood inventory-routing, perishable products, robust possibilistic programming, branch-and-cut algorithm

DOI: 10.3233/JIFS-152175

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 467-481, 2017

Authors: Mandal, Prasenjit | Ranadive, A.S.

Article Type: Research Article

Abstract: This paper is devoted to propose generalized L-fuzzy variable precision rough sets, based on generalized residuated lattices with conjunctions not necessarily commutative over two universes, as a generalization of the notion of L-fuzzy variable precision rough sets based on residuated lattices with commutative conjunctions over one universe only. Then we define and investigate several classes of generalized L-fuzzy variable precision rough sets. The topological properties and granular representation of generalized L-fuzzy variable precision rough sets are also given. Our main concern is to propose a real number valued function for each approximation operator in generalized L-fuzzy variable precision rough sets …and to measure its approximating ability. We observe that the functions of lower and upper approximation operators are natural generalizations of belief and plausibility functions respectively as given in the evidence theory. Using these functions, accuracy measure and degree of roughness is defined for generalized L-fuzzy variable precision rough sets. As an application of generalized L-fuzzy variable precision rough sets, I-fuzzy variable precision rough sets are proposed on the unit interval I = [0, 1], based on generalized residuated lattices induced by left-continuous pseudo-t-norms. Show more

Keywords: Generalized residuated lattices, pair of weak negations, generalized L-fuzzy variable precision rough sets, belief function, pseudo-t-norms

DOI: 10.3233/JIFS-152255

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 483-497, 2017

Authors: Rashid, Maliha | Shahzad, Aqeel | Azam, Akbar

Article Type: Research Article

Abstract: In this paper, we prove some fixed point theorems for L -fuzzy mappings in left K-sequentially and rightK-sequentially complete quasi-pseudo metric spaces.These are the generalizations of many results in the recent literature. Some examples are also included to support our results.

Keywords: L-fuzzy mapping, fixed point, quasi-pseudo-metric, left K-sequentially complete, right K-sequentially complete

DOI: 10.3233/JIFS-152261

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 499-507, 2017

Authors: Liu, Hongbing | Li, Weihua | Li, Ran

Article Type: Research Article

Abstract: Granular computing (GrC) is a frame computing paradigm that realizes the transformation between two granule spaces with different granularities. A comparative analysis of granular computing clustering is discussed in the paper. Firstly, a granule is defined as the form of vectors by the center and the granularity, especially, an atomic granule is induced by a point which has the granularity 0. Secondly, the join operator realizes the transformation from the granule space with smaller granularity to the granule space with lager granularity, and is used to form the granular computing clustering (GrCC) algorithms. Thirdly, the granular computing clustering algorithms are …evaluated from the view of set, such as Global Consistency Error (GCE), Normalized Variation of Information (NVI), and Rand Index (RI). The superiority and feasibility of GrCC are compared with Kmeans and FCM by experiments on the benchmark data sets. Show more

Keywords: Granule space, granular computing, granular computing clustering

DOI: 10.3233/JIFS-152327

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 509-519, 2017

Authors: Singh, Vishnu Pratap | Chakraborty, Debjani

Article Type: Research Article

Abstract: This paper represents the bi-level linear programming problem in an imprecise and uncertain mixed environment. The aim of this paper is to introduce coefficients of leader and the follower’s objective function and the constraints as the fuzzy random variable. To determine the optimal value of the leader and follower’s objectives a new methodology is developed for bi-level linear programming model in the presence of fuzzy random variable. A numerical example is solved to demonstrate the methodology.

Keywords: Bi-level programming, fuzzy random variable, two stage stochastic programming, fuzzy goal programming

DOI: 10.3233/JIFS-152354

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 521-528, 2017

Authors: An, Truong Vinh | Van Hoa, Ngo | Tuan, Nguyen Anh

Article Type: Research Article

Abstract: In this paper, we study the global existence and uniqueness results for interval-valued functional integro-differential equations and impulsive hybrid interval-valued functional integro-differential equations under generalized Hukuhara derivative. Some examples are given to illustrate these results.

Keywords: Interval differential equation, interval integro-differential equation, impulsive hybrid interval integro-differential equations, interval functional integro-differential equation, generalized Hukuhara derivative

DOI: 10.3233/JIFS-152405

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 529-541, 2017

Authors: Zhou, Shenghan | Li, Lei | Yang, Min | Chang, Wenbing

Article Type: Research Article

Abstract: This paper focuses on the multiple attribute decision making problems in evaluation of experiment platforms with 2-tuple linguistic information. The traditional teaching can’t meet the demand of increasing talent training. The requirement of educational quality has been more and higher in the background of the information science development. The modern experiment teaching has some major problems: inadequate funding, carrying experiment teaching in remote and continuing education is difficulty, practice and innovation ability limited by resource. The research design the 2-tuple power Einstein weighted average (2TPEWA) operator for aggregating 2-tuple linguistic information inspired by the idea of power aggregation and Einstein …operations. Then the 2TPEWA operator is used to construct the model for multiple attribute decision making with 2-tuple linguistic information. In the end, an example for performance evaluation of experiment platforms is proposed to test the given method and to prove its practicality and effectiveness. Show more

Keywords: Multiple attribute decision making (MADM), 2-tuple linguistic variables, power average operator, 2-tuple power Einstein weighted average (2TPEWA) operator, performance evaluation, experiment platforms

DOI: 10.3233/JIFS-152434

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 543-549, 2017

Authors: Kardan, Iman | Akbarzadeh-T, Mohammad-R | Akbarzadeh, Alireza | Kalani, Hadi

Article Type: Research Article

Abstract: In this paper, the notion of generalized differentiability is extended to quasi type 2 fuzzy mappings and the concept of quasi type 2 fuzzy derivative is defined. Then, based on this definition and by using the alpha-cut extension principle, an effective method is proposed for solving quasi type 2 fuzzy differential equations. Finally, the applicability of the proposed method is demonstrated through several examples.

Keywords: Fuzzy derivative, generalized differentiability, fuzzy differential equations, quasi type 2 fuzzy sets

DOI: 10.3233/JIFS-152470

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 551-563, 2017

Authors: Roul, J.N. | Maity, K. | Kar, S. | Maiti, M.

Article Type: Research Article

Abstract: The aim of this paper is to formulate and solve an optimal control problem under finite time horizon in fuzzy environment using fuzzy variational principle. Here an imperfect/defective item is produced to meet a time-dependent demand for a finite time period having no stock at both ends. The unit production cost is a function of production rate and also dependent on raw material cost, development costs due to durability and wear-tear cost. The cost function which consists of revenue, production and holding costs is formulated as a Fixed-Final Time and Fixed State System optimal control problem with finite time horizon. …Here production rate is unknown and considered as a control variable and stock level is taken as a state variable. It is formulated to optimize the production rate so that total cost is minimum. For the fuzzy model, the production rate, stock level, inventory cost and development cost are taken as fuzzy. The models are solved by using conventional Variational Principle for crisp model and Fuzzy Variational Principle (FVP) for fuzzy model. For simulation, Mathematica-9.0 and the non-linear optimization technique Generalised Reduced Gradient Method (LINGO 11.0) have been used. The optimum results are illustrated both numerically and graphically. For the fuzzy model, the membership functions of fuzzy outputs are presented. The results of crisp model are also obtained from the fuzzy model. Show more

Keywords: Fuzzy variational principle, finite time horizon, imperfect production system, optimal control problem

DOI: 10.3233/JIFS-152503

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 565-577, 2017

Authors: Kellil, Rabah

Article Type: Research Article

Abstract: Starting from the study of the papers [1, 3, 4, 5, 13, 14 ], we have seen that we can change some concepts and give some new definitions on fuzzy algebraic structures. Our goal by introducing these definitions is to get the classical and well known ones when the fuzzy set is just the characteristic function. As a second purpose we were tempted to generalize as long as it is possible some results known in the classical set theory. We get many interesting results which concern fuzzy relations, fuzzy subgroups of a given group, fuzzy ideals of a ring. We …also define ideal generated by an element in the commutative case, prime and maximal ideals. Some relationships have been made and many other still open and which will be of our interest in next studies. Show more

Keywords: Fuzzy sets, fuzzy subgroup, fuzzy operation, fuzzy equivalence relation, fuzzy ideal, fuzzy prime ideal, fuzzy maximal ideal

DOI: 10.3233/JIFS-152523

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 579-587, 2017

Authors: Shirgahi, Hossein | Mohsenzadeh, Mehran | Haj Seyyed Javadi, Hamid

Article Type: Research Article

Abstract: With the development of network infrastructures and the Internet, using web services to access and process information in distributed form apart from the different hardware and software platforms using standard protocols, Internet data exchange is expanded. By using web services, distributed applications simply exchange data, or do things by working together. In web-based applications, trust is one of the criteria for selecting the appropriate web service and also web service criteria are often qualitative. Because of the importance of this issue, we used fuzzy system in this article to assess the trust of single web services. To assess the trust …of web services, eight parameters includes QoS, user preferences, subjective calculation of trust, objective calculation of trust, bootstrapping, dynamics of trust and independent trust have been considered in proposed fuzzy system. To obtain a fuzzy system with high estimation accuracy, we considered 24 different fuzzy systems with different fuzzy sets and deffuzication methods and then we created fuzzy sets and fuzzy rules based on training data. To increase the speed and to reduce the number of fuzzy rules, we have considered the fuzzy systems as three-level. Finally, after running fuzzy systems with test data, between these systems, we received the following results: best fuzzy system achieves root mean square error 2.27 percent, the accuracy value 0.9816 and the FScore value 0.9838 and recalls value 0.9860. Show more

Keywords: Trust, web services, fuzzy system, web applications

DOI: 10.3233/JIFS-152526

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 589-611, 2017

Authors: Leiva, Luis A. | Alabau, Vicent

Article Type: Research Article

Abstract: Machine Translation (MT) requires a large amount of linguistic resources, which leads current MT systems to leaving unknown words untranslated. This can be annoying for end users, as they might not understand at all such untranslated words. However, most language families share a common vocabulary, therefore this knowledge can be leveraged to produce more understandable translations, typically for “assimilation” or gisting use. Based on this observation, we propose a method that constructs polyglot translations tailored to a particular user language. Simply put, an unknown word is translated into a set of languages that relate to the user’s language, and the …translated word that is closest to the user’s language is used as a replacement of the unknown word. Experimental results on language coverage over three language families indicate that our method may improve the usefulness of MT systems. As confirmed by a subsequent human evaluation, polyglot translations look indeed familiar to the users, and are perceived to be easier to read and understand than translations in their related natural languages. Show more

Keywords: Minority languages, machine translation, linguistic coverage, vocabulary, human factors

DOI: 10.3233/JIFS-152533

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 613-627, 2017

Authors: Song, AiMin

Article Type: Research Article

Abstract: In this paper, we defined the matrix intuitionistic fuzzy normed spaces, and proved the Ulam stability of functional equation deriving from quartic and cubic functionsf  (2x  + y ) + f  (2x  - y ) =3f  (x  + y ) + f  (- x  - y ) +3f  (x  - y ) + f  (y  - x ) +18f  (x ) +6f  (- x ) -3f  (y ) -3f  (- y ) by fixed point alternative method.

Keywords: Matrix intuitionistic fuzzy normed spaces, functional equation deriving from quartic and cubic functions, Ulam stability, fixed point alternative method

DOI: 10.3233/JIFS-152540

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 629-641, 2017

Authors: Zhao, Zhiyao | Quan, Quan | Cai, Kai-Yuan

Article Type: Research Article

Abstract: In the field of system health monitoring, system performance degradation or fault occurrence will decrease the system reliability to some degree. However, traditional reliability analysis is of limited usefulness in evaluating the reliability of an individual product under dynamic operating and environmental conditions. In this case, research on performance reliability as well as real-time reliability has attracted extensive attentions. Considering the characteristics of fuzzy reliability theory, a performance reliability based on profust reliability theory has its advantage on tracking system’s continuous degradation. On the basis of our previous work, this paper proposes a modified profust-performance-reliability (PPR) algorithm as a supplement …to the profust reliability based approach to prognostics and health management. In the modified PPR algorithm, the item of transition probability among system’s multi-states is replaced with the real-time distribution of system’s health status, which achieves an easier implementation of PPR’s calculation in practice with higher real-time capability and accuracy. Then, its application in the performance evaluation and prediction of dynamic systems are comprehensively proposed. Finally, a simulation of a quadrotor with partial loss of actuator effectiveness is presented to validate the availability and effectiveness of the proposed method. Show more

Keywords: Profust reliability, performance reliability, system degradation, health monitoring, quadrotor

DOI: 10.3233/JIFS-152544

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 643-660, 2017

Authors: Sivaranjani, P. | Senthil Kumar, A.

Article Type: Research Article

Abstract: Floorplanning is the initial step in the process of designing layout of the chip. It is employed to plan the positions and shapes of modules during the process of VLSI Design cycle to optimize the cost metrics like layout area and wirelength. In this paper, a Hybrid Particle Swarm Optimization-Firefly (HPSOFF) algorithm is proposed which integrates Particle Swarm Optimization (PSO), Firefly (FF) and Modified Corner List (MCL) algorithms. Initially, PSO algorithm utilizes MCL algorithm for non-slicing floorplan representations and fitness value evaluation. The solutions obtained from PSO are provided as initial solutions to FF algorithm. Fitness function evaluation and floorplan …representations for FF algorithm are again carried out using MCL algorithm. The proposed algorithm is illustrated using Microelectronics Centre of North Carolina (MCNC) and Gigascale Systems Research Centre (GSRC) benchmark circuits. The results obtained are compared with the solutions derived from other stochastic algorithms and the proposed algorithm provides better solutions for both the benchmark circuits. Show more

Keywords: VLSI floorplanning, Particle Swarm Optimization algorithm, Firefly algorithm, Modified Corner List (MCL) algorithm, Hybrid Particle Swarm Optimization-Firefly algorithm (HPSOFF), non-slicing floorplan

DOI: 10.3233/JIFS-152551

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 661-669, 2017

Authors: Shen, Yonghong | Chen, Wei | Wang, Jing

Article Type: Research Article

Abstract: In the present paper, the notion of fuzzy multiplication-convolution is introduced. Meantime, an important property is derived, which is similar to the Laplace transform of an ordinary convolution. By using the fuzzy Laplace transform and the preceding property, this paper deals with the Ulam stability of three variants of first order linear fuzzy differential equations with constant coefficients.

Keywords: Fuzzy Laplace transform, fuzzy multiplication-convolution, Ulam stability, linear fuzzy differential equation, generalized differentiability

DOI: 10.3233/JIFS-152567

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 671-680, 2017

Authors: Ma, Zhen Ming | Yang, Wei | Liu, Zhi Qiang

Article Type: Research Article

Abstract: Filter theory plays a vital role in studying fuzzy logical systems and their algebraic structures. Various types of filters have been extensively investigated in the literature. In this paper, several types of filters related to the Stonean axiom in residuated lattices are introduced such as Stonean filters, subimplicative filters, De Morgan filters, RDP-filters and (weak) subimplicative-Stonean filters, the relationships between them and some existing types of filters are obtained. Particularly, it is shown that a filter is a weak subimplicative-Stonean filter if and only if subimplicative filter coincides with Stonean filter. By these filters, the Stonean axiom and its alternative …definitions in an arbitrary residuated lattice are investigated. In particular, it is proved that Stonean axiom and subimplicative axiom coincide when the residuated lattice is subimplicative-Stonean, specially, De Morgan or RDP. Show more

Keywords: Non-classical logics, residuated lattice, Stonean filter, subimplicative filter, De Morgan filter, RDP-filter, (weak) subimplicative-Stonean filter

DOI: 10.3233/JIFS-152610

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 681-690, 2017

Authors: Lin, Yang | Wang, Ying-Ming | Chen, Sheng-Qun

Article Type: Research Article

Abstract: Hesitant multiplicative preference relation (HMPR) is a straightforward and efficient tool for representing hesitant fuzzy information in decision making. The aim of this paper is to develop a method to obtain priority vectors from HMPRs in the context of multistage decision-making (MSDM). To start the investigation, a simple linear programming model motivated by the idea of orness is purposed to calculate the relative weights of different stages. Based on these obtained weights, we develop a least square deviation method as well as a convergent iterative algorithm for prioritizing and ranking the MSDM- HMPR problems. The prominent property of this method …is then studied. Finally, a practical example concerning the selection of logistics service providers is given to illustrate the feasibility and applicability of the proposed approach. Show more

Keywords: Hesitant fuzzy set, hesitant multiplicative preference relation, multistage decision making, priority ranking, least square deviation method

DOI: 10.3233/JIFS-152630

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 691-701, 2017

Authors: Dai, Jianhua | Zheng, Guojie | Han, Huifeng | Hu, Qinghua | Zheng, Nenggan | Liu, Jun | Zhang, Qilai

Article Type: Research Article

Abstract: Interval-valued data exist in many practical situations, due to various factors such as random error, incompletion or inaccuracy. In rough set theory, interval-valued decision systems can be viewed as generalized models of single-valued decision systems. In this paper, from the viewpoint of interval variable, we propose a new dominance relation based on probability distribution. Consequently, dominance-based rough set model for interval-valued ordered decision systems is constructed with the proposed dominance relation. Moreover, the proposed model examines attribute reduction in interval-valued ordered decision systems.

Keywords: Interval-valued ordered decision systems, fuzzy rough set model, dominance, probability distribution, degree of preference, attribute reduction

DOI: 10.3233/JIFS-152640

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 703-710, 2017

Authors: Fazakis, Nikos | Karlos, Stamatis | Kotsiantis, Sotiris | Sgarbas, Kyriakos

Article Type: Research Article

Abstract: The most important asset of semi-supervised learning (SSL) methods is the use of available unlabeled data combined with an enough smaller set of labeled examples, so as to increase the classification accuracy compared with the default procedure of supervised methods, in which during the training only the labeled data are used. The encapsulation of classifier ensembles that produce different models through training process into semi-supervised schemes seems to be a promising strategy for enhanced learning ability. In this work, a Self-trained Rotation Forest (Self-RotF) algorithm and a variant of this (Weighted-Self-RotF) are presented. We performed an in depth comparison with …other well-known semi-supervised classification methods on standard benchmark datasets and after having tested their performance with statistical tests, we finally reached to the point that the presented technique had better accuracy in most cases. Show more

Keywords: Machine learning, semi-supervised methods, Rotation Forest, classification using labeled and unlabeled data, ensemble methods

DOI: 10.3233/JIFS-152641

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 711-722, 2017

Authors: Zhao, Ruiying | Chen, Ye-Hwa | Jiao, Shengjie

Article Type: Research Article

Abstract: The paper considers an optimal design problem for a class of uncertain systems. The systems are nonlinear and the state is constrained to be positive. The uncertainty of the system is time-varying and bounded, with the bound lies within a prescribed fuzzy set. The control input of the system may also be constrained to be one-sided (i.e., either positive or negative). A transformation of the state is proposed to release the state constraint. Based on a partial sign-definiteness knowledge of the uncertainty, a one-sided robust control is presented. The control structure is deterministic and is not fuzzy if -then …rule-based. By using the fuzzy description of uncertainty, the paper proposes an optimal design problem of the one-sided robust control. It is proven that the global solution to this optimal design problem always exists and is unique. The performance of the resulting controlled system is deterministically guaranteed as well as fuzzily optimized. The control design is illustrated by applying to a drug administration problem. Show more

Keywords: Fuzzy dynamic system, state constraint, control constraint, fuzzy set theory, optimal design

DOI: 10.3233/JIFS-15802

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 723-735, 2017

Authors: Gao, Ninghua | Li, Qingguo | Huang, Xiaokun

Article Type: Research Article

Abstract: Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L -systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L -systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L -system spaces.

Keywords: (Algebraic) fuzzy closure operators, (Algebraic) fuzzy closure L-systems, fuzzy complete lattices, category

DOI: 10.3233/JIFS-15979

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 737-748, 2017

Authors: Liu, Caihui | Pedrycz, Witold | Wang, Meizhi

Article Type: Research Article

Abstract: In this paper, we study covering-based multigranulation decision-theoretic rough sets in a multi-covering space. From viewpoints of granule, we propose the notions of covering-based mean multigranulation decision-theoretic rough sets, covering-based optimistic multigranulation decision-theoretic rough sets and covering-based pessimistic multigranulation decision-theoretic rough sets, realized, on the basis of Bayesian decision procedure. We first investigate some basic properties of those models. Then, we investigate the relationships between the proposed covering-based multigranulation decision-theoretic rough set models and other related rough set models. Thirdly, we elaborate on the interrelationships among the proposed models. Finally, an example is employed to illustrate the application of the …proposed models. Show more

Keywords: Bayesian decision procedure, covering, decision-theoretic rough sets, multigranulation rough sets

DOI: 10.3233/JIFS-16020

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 749-765, 2017

Authors: Yang, Wei | Pang, Yongfeng | Shi, Jiarong | Yue, Hongyun

Article Type: Research Article

Abstract: This study develops a new multiple attribute decision making method based on linear assignment method with linguistic hesitant intuitionistic fuzzy information considering correlation. First, we develop some linguistic hesitant intuitionistic fuzzy correlated aggregation operators by using Choquet integral. Then we propose a new linguistic hesitant intuitionistic fuzzy linear assignment method considering correlation of attributes. A numerical example has been presented to illustrate feasibility and practical advantages of the new method. Comparisons of new method with other methods, including the linguistic hesitant intuitionistic fuzzy correlated TOPSIS method, the method based on the generalized linguistic hesitant intuitionistic fuzzy correlated averaging (GLHIFCA) operator, …have been conducted. Show more

Keywords: Multiple attribute decision making, hesitant fuzzy set, linear assignment method, Choquet integral, aggregation operator

DOI: 10.3233/JIFS-16042

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 767-780, 2017

Authors: Çetkin, Vildan | Aygünoğlu, Abdülkadir | Aygün, Halis

Article Type: Research Article

Abstract: It is known that compactness occupies a very important place in general topology and also in fuzzy topology. In this paper, a stronger form of a fuzzy soft topology which is called a parameterized L -fuzzy soft topology is presented and compactness of a L -fuzzy soft set is established in the described topological space, where L is a complete DeMorgan algebra. Then the fundamental properties and characterizations of compactness are observed.

Keywords: Fuzzy soft set, fuzzy soft topology, continuity, compactness

DOI: 10.3233/JIFS-16043

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 781-790, 2017

Authors: Raj, Retheep | Sivanandan, K.S.

Article Type: Research Article

Abstract: In this work, angular displacement and angular velocity of the elbow during continuous flexion and extension movement are estimated using three different models, with Surface Electromyography (SEMG) time domain parameters as model inputs, and the results are compared to select the model that gives the most accurate results. Surface Electromyography (SEMG) is recorded using surface electrodes placed on the biceps brachii muscles during continuous flexion and extension of the elbow joint. SEMG recording is done with elbow angle changing at different angular velocities. The obtained SEMG signals are segmented into 250-millisecond duration windows using disjoint windowing technique. Two time-domain parameters, …Integrated Electromyography (IEMG) and Zero crossing (ZC) are derived from each windowed SEMG signals. The obtained value of IEMG and ZC are fed as the inputs to the Multiple Input Multiple Output (MIMO) model for the estimation of elbow angular displacement and elbow angular velocity. In this work three Multiple Input Multiple Output (MIMO) nonlinear black box model are developed using a Nonlinear Auto Regressive with eXogenous inputs (NARX) structure: (1) Multi-Layered Perceptron Neural Network (MLPNN) model based on NARX input, (2) Elman neural network model based on NARX input and (3) Adaptive Neuro-Fuzzy Inference System (ANFIS) model based on NARX input. The results obtained from the three different models are compared using statistical parameters like regression coefficient and root mean square error (RSME). Based on this comparison the paper proposes that the estimation of elbow kinematics using ANFIS NARX model gives more accurate results when compared with Elman NARX model and Multi-Layered Perceptron Neural Network (MLPNN) NARX model. Show more

Keywords: Surface Electromyography, time domain features, NARX structure, Multi-Layered Perceptron Neural Network (MLPNN), Elman Neural Network (ENN), Adaptive Neuro-Fuzzy Inference System (ANFIS), elbow joint angular displacement, elbow angular velocity, Integrated EMG (IEMG), Zero crossing (ZC)

DOI: 10.3233/JIFS-16070

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 791-805, 2017

Authors: Li, Weijiang | Qi, Jing | Yu, Zhengtao | Li, Dongjun

Article Type: Research Article

Abstract: Nowadays, we are living in an information overload age. A tremendous amount of information has been produced on the Internet, how to find the interesting information is the main goal of recommendation system research. However, the most of current traditional recommendation algorithms (such as Collaborative filtering) are suffering from flowing difficulties: (i) The traditional recommendation system assume that users are independent and identically distributed; this assumption fails to consider the social relation and connection between users, which is not consistent with the social relations in our real world. (ii) Although there are some recommendation system research began to focus on …the trust relationship between users, trust information is also very sparse. This leads to most of datasets only contains very little information about the user’s relationship. In this paper, we propose an innovative method that integrated users’ trust propagation and singular value decomposition into recommendation Algorithm to improve the quality of the recommendation effectively and efficiently. We performed our experiments on two real data sets respectively, the public domain Epinions.com and Filemtrust.com. The experimental results show that our method has a better outperform. Show more

Keywords: Recommendation system, trust propagation, singular value decomposition

DOI: 10.3233/JIFS-16073

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 807-816, 2017

Authors: Rashidi, Farzan

Article Type: Research Article

Abstract: Engine idle speed control problem has significant effects on fuel consumption, combustion stability and pollutions produced in urban traffics. In this paper, a Multi-Agent adaptive Critic based NeuroFuzzy Controller (MACNFC) for engine idle speed is presented to improve fuel efficiency, reduce emissions, and increase disturbance rejection capability while preventing the engine from stalling. The proposed MACNFC consists of a neurofuzzy controller, a learning mechanism and a set of fuzzy critic agents. It is assumed that each critic has been well designed to serve a particular objective. The role of the critics is to evaluate the controller performance in terms of …satisfactory achievements of the control objectives through evaluation of plant output and provide appropriate continues reinforcement signals. If these signals become zero, it means that the critics are satisfied by the performance of the controller from their own point of view. If deviation of signals from zero become larger, it shows the more stress and more dissatisfaction. The reinforcement signals provided by critics contribute collaboratively to update neurofuzzy controller parameters via the learning mechanism for achieving predefined criteria and goals. The controller should modify its characteristics so that all reinforcement signals are decreased and consequently all critics are satisfied. To illustrate the effectiveness of the proposed method some simulations are given. Obtained results show that proposed method not only maintains the engine speed as close as possible to a desired value in the presence of various disturbances, but also improves fuel consumption for large production volumes of engine operating in different idle speed regimes. Show more

Keywords: Idle speed control, engine model, fuel consumption, disturbance rejection, neurofuzzy controller, critic agent

DOI: 10.3233/JIFS-16083

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 817-829, 2017

Authors: Qin, Keyun | Yang, Jilin | Liu, Zhicai

Article Type: Research Article

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool for dealing with uncertainties. This paper is devoted to the discussion of fuzzy soft set based approximate reasoning. First, based on fuzzy implication operators, the notion of fuzzy soft implication relation between fuzzy soft sets is introduced. The composition method of fuzzy soft implication relations is provided. Second, Triple I methods for fuzzy soft modus ponens (FSMP)and fuzzy soft modus tollens (FSMT) are investigated. Computational formulas for FSMP and FSMT with respect to left-continuous t-norms and its residual implication are presented. At last, the reversibility properties …of Triple I methods are analyzed. Show more

Keywords: Fuzzy set, soft set, fuzzy soft implication relation, triple I method, left-continuous t-norm

DOI: 10.3233/JIFS-16088

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 831-839, 2017

Authors: Akram, Muhammad | Shahzadi, Sundas

Article Type: Research Article

Abstract: In this research article, we present a novel frame work for handling neutrosophic soft information by combining the theory of neutrosophic soft sets with graphs. We introduce the different types of notions, including neutrosophic soft graphs, strong neutrosophic soft graphs, complete neutrosophic soft graphs, and illustrate these notions by several examples. We then discuss various methods of their construction and investigate some of their related properties. We also present an application of neutrosophic soft graph to decision making.

Keywords: Neutrosophic soft sets, neutrosophic soft graphs, decision making, algorithm

DOI: 10.3233/JIFS-16090

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 841-858, 2017

Authors: Wang, Yi-Xin

Article Type: Research Article

Abstract: Since China’s adoption of reform and open-up policy in 1978, Jiangsu Province has achieved a fast economic development, with the average annual increasement rate of GDP per capita at 11.3% (counted with comparative price). In this process, the role of infrastructure in pushing the economic growth receives great attention. Study on the pushing effect of infrastructure on the economic growth will help the stipulation of proper infrastructure development strategy, so as to push forward economy and narrow the regional gap. In this paper, we investigates the comprehensive evaluation problems of regional economy development level in Jiangsu Province with 2-tuple linguistic …information. Then we propose dependent 2-tuple linguistic Maclaurin symmetric mean (D2TLMSM) operator and then apply D2TLMSM operator for evaluating the regional economy development level in Jiangsu Province with 2-tuple linguistic information. At last, a practical example is proposed to test the effectiveness of the given method. Show more

Keywords: Comprehensive evaluation, linguistic information, Maclaurin symmetric mean (MSM) operator, dependent 2-tuple linguistic Maclaurin symmetric mean (D2TLMSM) operator, regional economy development level

DOI: 10.3233/JIFS-161014

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 859-866, 2017

Authors: Yang, Yong | Wang, Yanru

Article Type: Research Article

Abstract: In this paper, we point out that the expression of the assertions proposed by Chatterjee et al. [Journal of Intelligent and Fuzzy Systems 29 (2015) 885-898] is not true by a counterexample, and give a revised version.

Keywords: Soft sets, type-2 soft sets, counterexample

DOI: 10.3233/JIFS-16104

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 867-869, 2017

Authors: Bhattacharjee, Pushparenu | Debnath, Abhiman | Chakraborty, Sujoy | Mandal, Uttam Kumar

Article Type: Research Article

Abstract: Selection of material plays an important role for any industry as an improper selection of material may lead to loss of lives, equipment and money. The present study aims to overcome this kind of problem by finding the best aluminum alloy for industries like aerospace and automotive which are seeks to made parts with this material because of its outstanding properties. A Multi Criteria Decision Making (MCDM) method known as TOPSIS (Technique of Order Preference by Similarity to the Ideal Solution) is utilized under fuzzy environment considering multiple qualitative and quantitative criterion values. A number of decision maker’s opinion is …considered with a Triangular fuzzy numbers for weighing the criteria. Best alternative is chosen based on the distance of alternatives from positive and negative ideal solution. It is observed that Al-5083-H112 is the best alternative. Sensitivity analysis is also done to determine how different values of an independent variable will impact a particular dependent variable under a given set of assumptions. Show more

Keywords: Aluminum, aerospace and automotive industry, fuzzy TOPSIS, triangular fuzzy numbers, sensitivity analysis

DOI: 10.3233/JIFS-161049

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 871-876, 2017

Authors: Yuan, Zhenmin | Wang, Yaowu | Sun, Chengshuang

Article Type: Research Article

Abstract: Uncertainties will lead to discrepancies between the actual and planned construction schedules. To know and solve these discrepancies timely, Monte Carlo method (MCM) is combined with Building Information Modeling (BIM) to establish a MCM-and-BIM-based construction schedule early warning model (MCM-BIM-CSEWM). Then, this paper develops a system prototype of MCM-BIM-CSEWM and explains its specific work processes through a large practical office building construction project. The results show that MCM-BIM-CSEWM can not only address the logical relationship between construction activities but also visually implement early warning according to construction-duration probability rather than construction duration in comparison with the traditional early warning models …or systems. Show more

Keywords: Construction schedule, MCM, BIM, early warning

DOI: 10.3233/JIFS-161084

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 877-888, 2017

Authors: Qiu, Dong | Xing, Yumei

Article Type: Research Article

Abstract: Since fuzzy optimization problems are extensively studied by considering the endpoint functions of level sets of fuzzy-valued objective function with respect to the fuzzy-max order, in this paper, by defining two related partial order relations we establish the complete relationships between the optimal solutions with respect to the fuzzy-max order and the ones with respect to the related partial order relations. These relationships reflect the intrinsic properties of fuzzy optimizations.

Keywords: Fuzzy numbers, fuzzy-max order, fuzzy optimization problems, Pareto optimal

DOI: 10.3233/JIFS-161237

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 889-897, 2017

Authors: Zhan-Ao, Xue | Xiao-Meng, Si | Tian-Yu, Xue | Xian-Wei, Xin | Yi-lin, Yuan

Article Type: Research Article

Abstract: In this paper, firstly we defined a new covering rough intuitionistic fuzzy set model in covering approximation space (U ,  C ). Then, the properties of lower and upper approximation operators were discussed. Secondly, we extended covering rough intuitionistic fuzzy sets in rough sets from single-granulation to multi-granulation. From the view of granularity, we proposed three models, which are based on minimal description. Some properties of these models were proved and demonstrated with examples. These models were illustrated with examples.

Keywords: Intuitionistic fuzzy sets, rough sets, intuitionistic fuzzy covering rough membership, minimal description, multi-granulation rough sets

DOI: 10.3233/JIFS-161312

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 899-911, 2017

Authors: Liao, Wenzhu | Chen, Maocai | Yang, Xiaoxia

Article Type: Research Article

Abstract: This paper deals with the joint problem of production scheduling and maintenance planning as it becomes one important base for intelligent manufacturing. Due to the dual requirements both on cost and delivery date, a multi-objective optimization approach is proposed for parallel machines to allow decision makers to find compromise solution between production scheduling and maintenance planning: minimizing both maximum completion time and total maintenance cost. The new optimization approach is one multiple nondominated improved NSGA-II algorithm based on greedy idea and pre-distribution thinking, which can quickly and effectively seek Pareto optimal solution to solve the joint problem. As well as …the introduced idea of averaging machine utilization, the job processing time model is constructed by considering machine degradation to meet real manufacturing situation. Moreover, a penalty function to maintenance (delay or advance) is proposed. Finally, the experimental analysis demonstrates the effectiveness and efficiency of this pre-distributed NSGA-II optimization approach, which could help solve the joint decision-making problem of production scheduling and preventive maintenance for parallel machines system. Show more

Keywords: Production scheduling, preventive maintenance, NSGA-II algorithm, parallel machines, integer programming

DOI: 10.3233/JIFS-161385

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 913-923, 2017

Authors: Dost, Şenol

Article Type: Research Article

Abstract: The basic motivation of the theory of textures is to find a convenient point-set based setting for fuzzy sets. In some recent works on textures show that they also provide a fruitful model for soft fuzzy sets. Further the category of soft fuzzy topological texture spaces is isomorphic to the category of ditopological texture spaces. The first aim of this paper is to introduce and study the notions of semi-compactness and semi-stability in ditopological texture spaces. Secondly, it is given a natural link for these concepts in soft fuzzy topological spaces by using the mentioned isomorphism.

Keywords: Texture, ditopology, semi-compactness, semi-stable, soft fuzzy topology

DOI: 10.3233/JIFS-16140

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 925-936, 2017

Authors: Yavuz, Enes

Article Type: Research Article

Abstract: We introduce Euler summability method for sequences of fuzzy numbers and state a Tauberian theorem concerning Euler summability method, of which proof provides an alternative to that of K. Knoop[Über das Eulersche Summierungsverfahren II, Math. Z. 18 (1923)] when the sequence is of real numbers. As corollaries, we extend the obtained results to series of fuzzy numbers.

Keywords: Sequences of fuzzy numbers, Euler summability method, Tauberian theorems

DOI: 10.3233/JIFS-161429

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 937-943, 2017

Authors: Liu, Zhouzhou | She, Yanhong

Article Type: Research Article

Abstract: Uncertainty measure is one of the key issues in the study of rough set theory, however, the existing studies on uncertainty measure are restricted to set-theoretic rough set model(crisp or fuzzy). This paper extends the uncertainty measure of formulae in rough logic to probabilistic environments. By employing the probability measure theory, a new notion of probabilistic rough truth degree (P-rough truth degree for short) is proposed. This notion is demonstrated to be adequate for measuring the extent to which any formula is roughly true in probabilistic environments. Then based upon the fundamental notion, the notions of P-rough similarity degree, P-accuracy …degree and P-roughness degree of formulae in rough logic are also proposed. The properties of these concepts are investigated in detail. Moreover, the notion of P-rough similarity degree can also induce, in a natural way, three kinds of pseudo-metrics on the set of rough formulae, which can be used to develop a kind of approximate reasoning in rough logic. Show more

Keywords: Uncertainty measure, rough truth degree, rough similarity degree, approximate reasoning

DOI: 10.3233/JIFS-161439

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 945-953, 2017

Authors: Peng, Xindong | Liu, Chong

Article Type: Research Article

Abstract: This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system theory. Moreover, we develop the combined weights, which can show both the subjective information and the objective information. Later, we propose three algorithms to solve single-valued neutrosophic soft decision making problem by Evaluation based on Distance from Average Solution (EDAS), similarity measure and level soft set. …Finally, the effectiveness and feasibility of approaches are demonstrated by a numerical example. Show more

Keywords: Single-valued neutrosophic soft set, similarity measure, SVNN, Combined weighed, EDAS, level soft set

DOI: 10.3233/JIFS-161548

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 955-968, 2017

Authors: Rikhtegar, Negar | Javidan, Reza | Keshtgari, Manijeh

Article Type: Research Article

Abstract: Wireless Nano Sensor Network (WNSN) consists of nano-scale devices with potential sensing capabilities in advanced applications. The most notable characteristic of these networks is the use of very high operating frequencies (0.1-10 THz) for communication among nano-machines. In addition, the extreme limitations of nano-devices motivate the design of novel and simple protocols for overcoming the restrictions and improving the network performance. This paper introduces a fuzzy logic-based mobility management (FLMM) solution for mobile cluster-based WNSNs founded on TDMA MAC protocol. This method aids mobile nano sensor nodes to optimally handoff among static anchor nodes named nano-controllers, so that, the handoff …decision is triggered based on a combination of three important local parameters “distance from nano-controller”, “residual energy of nano-controller” and “traffic load of nano-controller”. The proposed model is evaluated in comparison to a similar non-fuzzy distance-based mobility controller. To this end, several critical metrics such as energy consumption, packet loss ratio, successful handoff rate and average end-to-end delay have been studied using NS-3 simulator and the results of performance evaluation show that proposed fuzzy logic-based mobility controller provides more reliability, less delivery delay and lower energy consumption in a dynamic topology of limited WNSN. Show more

Keywords: Wireless Nano Sensor Network (WNSN), mobility management, fuzzy logic, handoff control, NS-3

DOI: 10.3233/JIFS-161552

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 969-978, 2017

Authors: Kim, Kyoungok

Article Type: Research Article

Abstract: Partitioning a set of objects into groups or clusters is a fundamental task in data mining, and clustering is a popular approach to implementing partitioning. Among several clustering algorithms, the k -means algorithm is well-known and widely applied in several areas that only handle numerical attributes. The k -modes algorithm is an extension of the k -means algorithm that deals with categorical variables, which has several variations such as fuzzy methods. This paper presents a new attribute weighting method for the k -modes algorithm that utilizes impurity measures such as entropy and Gini impurity. The proposed algorithm considers both the …distribution of categories of attributes within the same cluster and between different clusters. By doing this, categorical variables defined as more important that others by the new algorithm have a significant influence on the similarity calculation, and this results in improved clustering performance, which was confirmed by experiments. Show more

Keywords: k-modes clustering, fuzzy k-modes clustering, weighted k-modes clustering, fuzzy weighted k-modes clustering

DOI: 10.3233/JIFS-16157

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 979-990, 2017

Authors: Zang, Faye | Wang, Yong | Yang, Renming

Article Type: Research Article

Abstract: This paper investigates the robust control for a class of secondary regulation rotate speed systems by applying Hamiltonian function method, and proposes a number of new results on the system. Firstly, we present some Hamiltonian realization methods for a class of nonlinear systems. Then, by transforming the nonlinear system under study into a Hamiltonian form, the paper presents several stability and H ∞ control results, respectively. Finally, an illustrative example shows the effectiveness of the result obtained in this paper.

Keywords: Secondary regulation rotate speed system, stability, robust control, hamiltonian function method

DOI: 10.3233/JIFS-16493

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 991-997, 2017

Authors: You, Cuilian | Yan, Lijuan

Article Type: Research Article

Abstract: In order to research the properties of distance for uncertain variables, we introduced a new concept of p-distance. Then the properties of nonnegativity, identification, symmetry, and triangle inequality for the p-distance of uncertain variables and uncertain vectors were obtained. In the end, we deduced the metric space which is constituted by p-distance is complete.

Keywords: Uncertain variable, uncertain vector, uncertainty theory, p-distance

DOI: 10.3233/JIFS-16959

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 999-1006, 2017

Authors: Kandil, A. | Tantawy, O.A.E. | El-Sheikh, S.A. | Hazza, Shawqi A.

Article Type: Research Article

Abstract: In this paper, we introduce the notions of pairwise soft sub kernel, and pairwise ∨-soft sets in a soft bitopological space (X , η 1 , η 2 , E ). Also, we study the fundamental properties of pairwise ∨-soft sets and we investigate the associated soft topology η p ∨ . Moreover, we introduce the notions of generalized pairwise Λ (∨)-soft sets and we investigate their basic properties. Also, we define a soft closure operator on the family of all generalized pairwise Λ -soft sets and generate, in usual manner, an Alexandroff soft topology η gpΛ on …X which is finer than η p ∨ . Furthermore, we prove that (X , η gpΛ , E ) is always a soft T 1 2 space. In addition, we introduce characterizations of pairwise soft T 1 2 * by using generalized pairwise Λ -soft sets and we show that the concepts of generalized pairwise Λ -soft set and generalized pairwise closed soft set are independent. Show more

Keywords: Soft sets, soft topology, soft bitopology, soft bitopological spaces, pairwise soft sets, pΛ-soft sets, p∨-soft sets, gpΛ-soft sets, gp∨-soft sets, soft T1/2 spaces, pairwise soft T*1/2 spaces and soft separation axioms

DOI: 10.3233/JIFS-16180

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1007-1018, 2017

Authors: Yu, Gao-Feng | Li, Deng-Feng | Qiu, Jin-Ming | Ye, Yin-Fang

Article Type: Research Article

Abstract: The aim of this paper is to propose a satisfactory degree method by using nonlinear programming for solving multi-attribute decision making (MADM) problems in which ratings of alternatives on attributes is expressed via interval-valued intuitionistic fuzzy (IVIF) sets and preference information on attributes is incomplete. Concretely, a nonlinear programming model is firstly explored to determine the satisfactory degree which is the ratio of the square of the weight Euclidean distance between an alternative and the IVIF negative ideal solution (IVIFNIS) to the sum of the square of the weight Euclidean distance between the IVIF negative ideal solution (IVIFNIS) and the …IVIF positive ideal solution (IVIFPIS). Another nonlinear programming model is also developed to obtain satisfactory intuitionistic fuzzy sets, and then the general satisfactory degrees of the satisfactory intuitionistic fuzzy sets are used to generate the ranking order of the alternatives. Finally, a real example is employed to verify the applicability of the proposed approach and illustrate its practicality and effectiveness. Show more

Keywords: Fuzzy multi-attribute decision making, interval-valued intuitionistic fuzzy set, satisfactory degree, mathematical programming

DOI: 10.3233/JIFS-16557

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1019-1028, 2017

Authors: Liu, Peide | Qin, Xiyou

Article Type: Research Article

Abstract: Linguistic intuitionistic fuzzy number (LIFN) is a special intuitionistic fuzzy number which can more easily describe the uncertainty and the vagueness information existing in the real world, and the power average (PA) operator can relieve some influences of unreasonable attribute values given by biased decision makers. In this paper, we will extend the PA operator to the LIFNs and propose some new operators, and develop some new decision making methods. Firstly, we introduce the definition, properties, score function, and operational rules of the LIFNs. Then, we propose some linguistic intuitionistic fuzzy power operators, such as linguistic intuitionistic fuzzy power averaging …(LIFPA) operator, linguistic intuitionistic fuzzy weighted power averaging (LIFWPA) operator, linguistic intuitionistic fuzzy power geometric (LIFPG) operator, linguistic intuitionistic fuzzy weighted power geometric (LIFWPG) operator, linguistic intuitionistic fuzzy generalized power averaging (LIFGPA) operator, linguistic intuitionistic fuzzy generalized weighted power averaging (LIFGWPA) operator. At the same time, we study some effective properties of these operators. Then, three methods based on the LIFWPA operator, LIFWPG operator and LIFGWPA operator for multi-attribute decision making are proposed. Finally, we use an illustrative example to demonstrate the practicality and effectiveness of the proposed methods. Show more

Keywords: Multiple attribute decision making, linguistic intuitionistic fuzzy numbers, power average operators

DOI: 10.3233/JIFS-16231

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1029-1043, 2017

Authors: Khan, Noor Mohammad | Davvaz, Bijan | Khan, Mohammad Aasim

Article Type: Research Article

Abstract: In the present paper, the notions of (k * , q )-quasi-coincident, (∈ , ∈ ∨ (k * , q k ))-fuzzy left ideal, (∈ , ∈ ∨ (k * , q k ))-fuzzy right ideal and (∈ , ∈ ∨ (k * , q k ))-fuzzy generalized bi-ideal of an ordered semigroup are introduced. The (k * , k )-lower parts of an (∈ , ∈ ∨ (k * , q k ))-fuzzy left ideal, (∈ , ∈ ∨ (k * , q k ))-fuzzy right ideal and (∈ , ∈ ∨ (k * , q k ))-fuzzy generalized bi-ideal are also defined. Then, we characterize these various fuzzy ideals. Finally, …using the properties of these fuzzy ideals, we characterize regular, left regular, right regular, completely regular and left weakly regular ordered semigroups. Show more

Keywords: Fuzzy ideals, (∈ , ∈ ∨ (k*, qk))-fuzzy ideals, regular, completely regular and left weakly regular ordered semigroups

DOI: 10.3233/JIFS-16339

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1045-1057, 2017

Authors: Sahoo, Sankar | Pal, Madhumangal

Article Type: Research Article

Abstract: An intuitionistic fuzzy graph is an extended structure of a fuzzy graph that give more precision, flexibility and compatibility to a system when compared with the system that designed using fuzzy graphs. In this paper, we define two new operations on intuitionistic fuzzy graphs namely normal product and tensor product. Also, we calculated the degree of the intuitionistic fuzzy graphs obtained by the operations Cartesian product, tensor product, normal product and composition of intuitionistic fuzzy graphs. These operations are highly used in computer science, geometry, algebra, operations research, etc.

Keywords: Intuitionistic fuzzy graphs, cartesian product, tensor product, normal product

DOI: 10.3233/JIFS-16348

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1059-1067, 2017

Authors: Wang, Pei | Xu, Xuan-hua | Wang, Jian-qiang | Cai, Chen-guang

Article Type: Research Article

Abstract: An interval-valued intuitionistic linguistic set (IVILS) is introduced as an extension of both a linguistic term set and an interval-valued intuitionistic fuzzy set. However, the arithmetic operations and comparison methods of IVILS exist some limitations, which may result in information loss and distortion. To avoid this problem, the arithmetic operations are improved and a new comparison method based on a possibility degree is developed. Then, several arithmetic aggregation operators are proposed to aggregate interval-valued intuitionistic linguistic numbers. Moreover, a multi-criteria group decision-making (MCDM) approach based on the new aggregation operators is presented. Finally, the validity and effectiveness of the proposed …method are confirmed by a comparable example. Show more

Keywords: Interval-valued intuitionistic linguistic number, operation rule, possibility degree, ranking method, aggregation operator

DOI: 10.3233/JIFS-16644

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1069-1078, 2017

Authors: Arora, Sankalap | Singh, Satvir

Article Type: Research Article

Abstract: Butterfly Optimization Algorithm (BOA) is a new comer in the category of nature inspired metaheuristic algorithms, inspired from food foraging behavior of the butterflies. Similar to other metaheuristic algorithms, it encounters two probable problems; (1) entrapment in local optima and (2) slow convergence speed. Chaotic maps are one of the best methods to improve the performance of metaheuristic algorithms. In the present study, chaos is introduced into BOA which increases its performance in terms of both local optima avoidance and convergence speed. Ten chaotic maps are employed to enhance the performance of the BOA. The proposed chaotic BOAs are validated …on unimodal and multimodal benchmark test functions as well as on engineering design problems. The results indicate that the chaotic maps are able to significantly boost the performance of BOA. Show more

Keywords: Butterfly optimization algorithm, chaotic map, metaheuristic, optimization

DOI: 10.3233/JIFS-16798

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1079-1088, 2017

Authors: Amer, W.S. | Abbas, Mohamed I. | El-Bably, Mostafa K.

Article Type: Research Article

Abstract: The main purpose of the present paper is to introduce the new concepts “j -near concepts” in rough set context to be used as mathematical tools, approximating the rough sets and removing the vagueness (uncertainty) of rough sets. The basic notions of j -near approximations are sufficiently illustrated. Comparisons among the accuracy of these types of approximations are superimposed. We further investigate some practical examples to illustrate the importance of the suggested structures. Finally, several examples are given to indicate counter connections.

Keywords: j-neighborhood spaces, j-approximations rough sets, topology and near open sets

DOI: 10.3233/JIFS-16169

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1089-1099, 2017

Authors: Abbasizadeh, N. | Davvaz, B. | Leoreanu-Fotea, V.

Article Type: Research Article

Abstract: In this paper, we study fuzzy topological polygroups and prove some results in this respect. Denote by FC  (Y , Z ) the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z . Our aim in this paper is to study a polygroup, fuzzy polygroup, topological polygroup and fuzzy topological polygroup structure on the (fuzzy) function space FC  (Y , Z ). Also, we study induced fuzzy topological polygroups. It is shown that if ( P , T ) is a usual topological polygroup, then the induced fuzzy …topology ω ( T ) on I P makes ( P , ω ( T ) ) a fuzzy topologiccal polygroup. Show more

Keywords: Polygroup, fuzzy polygroup, topological polygroup, fuzzy topological polygroups, Q-neighborhood, function space

DOI: 10.3233/JIFS-16244

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1101-1110, 2017

Authors: Savaş, Ekrem

Article Type: Research Article

Abstract: In this paper, following a very recent and new approach of [1 ], we discuss a relation between two kinds ofI - convergence of sequences, namely, I -statistical convergence of weight g and I -lacunary statistical convergence of weight g , where g : ℕ → [ 0 , ∞ ) is a function satisfying lim n → ∞ g ( n ) = ∞ and n g ( n ) ↛ 0 as n → ∞ for fuzzy numbers. These methods are …based on the methods of statistical convergence and lacunary statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established. Show more

Keywords: Ideal, filter, ℐ-statistical convergence of weight g, ℐ-lacunary statistical convergence of weight g, fuzzy numbers

DOI: 10.3233/JIFS-16292

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1111-1117, 2017

Authors: Shi, Sheng-Xu

Article Type: Research Article

Abstract: The development problem of small town is a present important issue in our country, concerning the urbanization process, agriculture and rural economy development and sustainable development of national economy directly. It is imperative to accelerate the construction of ecological environment in the small town under the national conditions of the increasing excessively of population, the serious shortage of resources, the environmental pollution, the ecology degradation and the great background of constructing the well-off society and the harmonious society comprehensively. Since the reform and opening-up, the construction of small town makes the enormous achievements, but the ecological environment problem in the …urbanization process is serious day by day, and have already become the limiting factor of social progress. So the coordinated development of the economy, society and environment road is the necessary trend of small town development in the future. In this paper, we give some operations on the interval-valued intuitionistic fuzzy sets and further develop the interval-valued intuitionistic fuzzy Hamacher power weighted average (IVIFHPWA) operator. We also establish some desirable properties of this operator, such as idempotency, Boundedness and monotonicity. Then, we apply the IVIFHPWA operator to deal with multiple attribute decision making with interval-valued intuitionistic fuzzy information. Finally, a practical example for evaluating the performance of urban ecological environment construction is used to illustrate the developed procedures. Show more

Keywords: Interval-valued intuitionistic fuzzy numbers, operational laws, interval-valued intuitionistic fuzzy Hamacher power weighted average (IVIFHPWA) operator, urban ecological environment construction, performance evaluation

DOI: 10.3233/JIFS-16475

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1119-1127, 2017

Authors: Zhou, Wei | Xu, Zeshui

Article Type: Research Article

Abstract: As a convenient and effective aggregation method, the weighted aggregation operators have been applied in some fields of real decision-makings, and many extended forms have been presented and investigated. For this reason, the intuitionistic fuzzy weighted aggregation operators, such as the intuitionistic fuzzy weighted averaging/geometric operators and the intuitionistic fuzzy ordered weighted averaging/geometric operators, are proposed and developed. However, one dilemma is that the selection principle of the different aggregation operators is indistinct and arbitrary in real decision making. Consequently, in this paper, we propose four extreme intuitionistic fuzzy weighted aggregation operators, namely, the intuitionistic fuzzy maximum weighted averaging (IFWmax …A), the intuitionistic fuzzy minimum weighted averaging (IFWmin A), the intuitionistic fuzzy maximum weighted geometric (IFWmax G), and the intuitionistic fuzzy minimum weighted geometric (IFWmin G), and then study their relationships and point out their selection principles. Furthermore, the optimism and pessimism decision-making approaches are constructed and analyzed based on these new operators. Finally, an investment decision making case is provided to demonstrate the constructed optimism and pessimism decision-making processes and the proposed extreme intuitionistic fuzzy weighted aggregation operators under the intuitionistic fuzzy environment. Show more

Keywords: IFWmaxA, IFWminA, IFWmaxG, IFWminG, decision making

DOI: 10.3233/JIFS-16516

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1129-1138, 2017

Authors: Wang, Qian

Article Type: Research Article

Abstract: The effect and quality of education is the fundamental of higher education, and instructional reform is the core one of all reforms in higher education. In order to motivate the instructional reform and enhance the quality of education, the department of education in China has evaluated and rewarded the study performance in instructional practice of educators in higher learning instructions since 1989. This means has pushed enormously the process of the instructional reform in higher learning institutions and enhanced the effect and quality of higher education. However, evaluating and rewarding the excellent study performance of educators in higher learning institutions …still depends on the qualitative evaluation by the expert’s intelligence and experience. In this paper, we investigate the multiple attribute decision making problems for evaluating the psycholinguistic teaching effect with triangular fuzzy information. Motivated by the idea of geometric Bonferroni mean and Einstein operations, we develop the triangular fuzzy Einstein geometric Bonferroni mean (TFEGBM) operator and triangular fuzzy weighted Einstein geometric Bonferroni mean (TFWEGBM) operator for aggregating the triangular fuzzy information. Then, based on the TFWEGBM operator, we develop the procedure for multiple attribute decision making with the triangular fuzzy information. Finally, a practical example for evaluating the psycholinguistic teaching effect is given to verify the developed approach. Show more

Keywords: Multiple attribute decision making, triangular fuzzy numbers, Geometric Bonferroni mean, triangular fuzzy Einstein geometric Bonferroni mean (TFEGBM) operator, triangular fuzzy weighted Einstein geometric Bonferroni mean (TFWEGBM) operator, psycholinguistic teaching effect

DOI: 10.3233/JIFS-16531

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1139-1146, 2017

Authors: Zheng, Qunxian | Zhang, Hongbin

Article Type: Research Article

Abstract: The problem of state feedback control for a class of continuous-time switched nonlinear systems is investigated in this paper. By using the Takagi-Sugeno (T-S) fuzzy model to represent each subsystem of the switched nonlinear systems, the switched nonlinear systems are modeled into the switched T-S fuzzy systems. Different from existing studies in the literature, by proposing a novel performance index which can be viewed as extended dissipativity, the weighted H ∞ , L 2  - L ∞ , passive and dissipative control problems for continuous-time switched nonlinear systems are studied in a unified framework. Some weighted matrices are included in the …new performance index. Through adjusting the values of these weighted matrices, the new performance index will reduce to the weighted H ∞ , L 2  - L ∞ , passive and dissipative performance index for the switched systems. By using the multiple Lyapunov functions (MLFs) approach and the average dwell time (ADT) technique, the state feedback controllers are designed to ensure the closed-loop switched T-S fuzzy system to be asymptotically stable and satisfy the novel performance index. Finally, a numerical example is provided to illustrate the applicability of the obtained results. Show more

Keywords: Extended dissipativity, switched nonlinear systems, Takagi-Sugeno (T-S) fuzzy model, multiple Lyapunov functions (MLFs), average dwell time (ADT)

DOI: 10.3233/JIFS-16568

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1147-1156, 2017