Journal of Intelligent & Fuzzy Systems - Volume 37, issue 1

Authors: Elsanabary, Walaa | Gamal, Mona | Abou El-Fetouh, Ahmed | Elkhameesy, Nashaat

Article Type: Research Article

Abstract:  In the presence of high competition market, planning the infrastructures of Telecommunication Access Network (TAN) is one of the most important tasks facing telecommunication companies especially after the trend of using optical fiber cables. This infrastructure is controlled by a list of barriers which affect selecting the locations of the most widely used technology Multi Services Access Nodes (MSAN). Therefore, the importance of determining the appropriate location of MSANs is appeared. This paper presents the capabilities of the Artificial Bee Colony (ABC) to find the fuzzy classifications rules for the telecommunication MSANs locations based on a set of MSAN’s planning …barriers. This system starts by preparing the training data set using the benefits of Geographic Information System (GIS) for generating digital maps. The system helps in analyzing spatial data of existing TAN and the barriers which affect planning TAN. Afterwards, the system fuzzifies the MSAN’s planning barriers using Particle Swarm Optimization and Total Entropy as fitness function (PSO-TE). Then, the ABC capabilities, correlation function and confidence rate as a fitness function and the mamdani inference system are utilized to find the appropriate telecommunication fuzzy rules with respect of training data. The system ends by evaluating the generated telecommunication fuzzy rules for MSAN locations via comparing the result of proposed model with a number of classification algorithms found in literature based on the test data set. The total classification accuracy of the TFRML-ABC model is 97.8%. Hence, the proposed TFRML-ABC model is concluded to be efficient in classifying the MSAN’s features taking into consideration the misclassification rates. Show more

Keywords: Artificial bee colony (ABC), correlation, Min-Max mamdani inference system, particle swarm optimization-total entropy (PSO-TE), telecommunication access network (TAN), geographic information system (GIS), multi services access node (MSAN)

DOI: 10.3233/JIFS-181324

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 783-795, 2019

Authors: Chen, Ke | Luo, Yuedong

Article Type: Research Article

Abstract: This paper proposed a concept based on q-rung orthopair fuzzy sets (q-ROFSs) and linguistic term sets called q-rung orthopair linguistc sets (q-ROLSs). This study also investigates a novel multi-criteria decision-making (MCDM) approach in which the arguments take the form of q-ROLSs, we extend Muirhead mean (MM) aggregation operators under q-rung orthopair linguistic environment. Firstly, certain operational laws of q-ROLSs are investigated. Secondly, the q-rung orthopair linguistic Muirhead mean, the q-rung orthopair linguistic weighted Muirhead mean and the q-rung orthopair linguistic weighted geometric Muirhead mean operators are presented. Special cases of the q-rung orthopair linguistic Muirhead mean operators and their properties …are analysed. With these foundations as basis, an approach is developed to be applied to MCDM problems based on the proposed operators. Finally, a practical example is developed to illustrate this method and comparative analysis demonstrate the superiorities of the aggregation operators. Show more

Keywords: Multi-criteria decision making, q-rung orthopair linguistic sets, muirhead mean, aggregation operator

DOI: 10.3233/JIFS-181366

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 797-809, 2019

Authors: Kalpana, B. | Anusheela, N.

Article Type: Research Article

Abstract: This paper develops a latest mathematical model to derive the membership function of fuzzy retrial queue with single server queue model FM 1 , FM 2 /FM 1 , FM 2 /1 with priority and unequal service rates. The vital aim of this paper is to combine the parametric non linear programming technique and Yager’s ranking method. Using α - cut approach and Zadeh’s principle the fuzzy queues are changed into crisp queues in this paper. The membership function of the system characteristics is derived for different values of α . The numerical example is given to check the …validity of the model. Show more

Keywords: Fuzzy sets, membership function, nonlinear programming, priority, retrial queue

DOI: 10.3233/JIFS-181433

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 811-820, 2019

Authors: Salarpour, H. | Ghodrati Amiri, G. | Meysam Mousavi, S.

Article Type: Research Article

Abstract:  Housing market industry is the main factor of economic growth for each country to enhance the gross domestic product. In this respect, countries should implement the best strategy among the candidate strategies in each period to control the housing market for growing the economy and avoiding the impact of a sustainability crisis. Meanwhile, identifying the assessment criteria and recognizing the relative importance of them by regarding their interdependencies coherence could assist decision makers to apply and define the best strategy in each period. Also, in real complex cases, evaluating the criteria based on exact values in which the information is …incomplete or decision makers faced with qualitative criteria are impossible. To address the issue, dynamic interval-valued hesitant fuzzy set (DIVHFS) theory is an appropriate tool that allows experts to define some membership degrees under a set for different periods to suitably cover the dynamic uncertainty. However, this paper proposes a new dynamic hesitant fuzzy hierarchical group decision approach regarding a last aggregation concept for computing the criteria weights regarding the global and local weights by keeping away from the data loss. Thereby, the local weights of criteria are calculated by developing dynamic interval-valued hesitant fuzzy correlation and standard deviation method. Also, the global weight of each criterion is determined based on decision making trial and evaluation laboratory (DEMATEL) methodology regarding the interdependencies coherence of each criterion. In the process of proposed approach, the weight of each decision maker is specified based on manipulated dynamic interval-valued hesitant fuzzy compensatory degree technique to increase the reliability of obtained results. Finally, a real case study for specifying the relative importance of each sustainable criterion in housing market strategy selection problem is prepared to indicate the feasibility and performance of proposed dynamic hesitant fuzzy hierarchical group decision approach. Show more

Keywords: Dynamic interval-valued hesitant fuzzy sets, sustainable development, housing market management, criteria assessment, DEMATEL

DOI: 10.3233/JIFS-181482

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 821-833, 2019

Authors: Jing, Shibo | Yang, Junyu | Yang, Liming | Zhang, Min

Article Type: Research Article

Abstract:  Applying semi-supervised learning to extreme learning machine (ELM), we propose a semi-supervised extreme learning machine classification framework (SSELM) with arbitrary norm (q -norm, q=0,1 and 2). However, the SSELM involves nonconvex and nonsmooth problem. In this work, two types of optimization methods are developed to solve the proposed SSELM. The first one is an exact solution approach that reformulates SSELM as mixed integer programming. The second is an approximation approach that approximates the SSELM framework by DC (difference of convex functions) programming. Several formulations for SSELM are presented with different norm. Furthermore, the proposed methods are applied in a practical …medical dataset using near-infrared spectral technology. Experimental results in different spectral regions show that incorporating unlabeled samples in training improves the generalization compared with the supervised ELM when insufficient training information is available. Moreover, the proposed methods achieve equivalent performance in benchmark data sets compared to the supervised ELM algorithms and other semi-supervised methods. These results show the feasibility and effectiveness of the proposed algorithms. Show more

Keywords: Extreme learning machine, semi-supervised classification, mixed integer programming, DC programming, arbitrary norm

DOI: 10.3233/JIFS-181501

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 835-845, 2019

Authors: Rohani, Arash | Joorabian, Mahmood | Abasi, Mahyar | Zand, Mohammad

Article Type: Research Article

Abstract: This paper deals with a control design based on amplitude adaptive notch filter (AANF) for a four-leg distributed static compensator (DSTATCOM) in a three-phase four-wire distribution grid to overcome current-related problems of power quality. Extracted reference currents of DSTATCOM are obtained using AANF because of its simple structure, exact measuring of frequency and amplitude, suitable estimation of the desired signal, and capability of tracking the changes of the input signal amplitude. To improve the dynamic performance of DSTATCOM, two fuzzy logic controllers are utilized to regulate DC link voltage and the voltage of point of common coupling (PCC). Furthermore, an …adaptive hysteresis band current controller is applied for generating the gate pulses of IGBT switches. The proposed control scheme is robust to power system oscillations, especially when the main voltage suffers from disturbances and unbalancing. Different surveys are performed to study the efficacy of the proposed method, and results are verified through the simulation results in MATLAB/Simulink environment. Show more

Keywords: DSTATCOM, power quality, amplitude adaptive notch filter, fuzzy logic controller, adaptive hysteresis band current controller

DOI: 10.3233/JIFS-181521

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 847-865, 2019

Authors: Oztaysi, Basar | Cevik Onar, Sezi | Seker, Sukran | Kahraman, Cengiz

Article Type: Research Article

Abstract: Water treatment technology (WTT) selection is an excessively important problem since dramatic increases in health problems originated from drinking waters occur day by day. WTTs have high initial investments and operating and maintenance costs with different lives and capacities. Besides, their selection depends on the output quality of the water, capacity, land structure, and environmental issues. Therefore, WTT selection problem is a multi-criteria problem, which requires linguistic evaluations rather than exact numerical evaluations. In this paper, we propose a multi-expert and multi-criteria hesitant Pythagorean fuzzy decision analysis to select best fit WTT for clarification process in water treatment. Aggregation …operators and pairwise comparisons for hesitant Pythagorean fuzzy sets (HPFSs) are applied in the analysis. Comparative analyses are additionally realized to show the validity of the proposed approach and the robustness of the givendecisions. Show more

Keywords: Water treatment, hesitant fuzzy sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, analytic hierarchy process (AHP)

DOI: 10.3233/JIFS-181538

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 867-884, 2019

Authors: Singh, Akanksha | Kumar, Amit | Appadoo, S.S.

Article Type: Research Article

Abstract: Abdel-Basset et al. (Neural Computing and Applications, 2018, https://doi.org/10.1007/s00521-018-3404-6) proposed methods for solving different types of neutrosophic linear programming problems (NLPPs) (NLPPs in which some/all the parameters are represented as trapezoidal neutrosophic numbers (TrNNs)). Abdel-Basset et al. also pointed out that as a trapezoidal fuzzy number is a special case of trapezoidal neutrosophic number. Therefore, the fuzzy linear programming problems which can be solved by the existing methods (Ganesan and Veermani, Ann Oper Res, 2006, 143 : 305-315; Ebrahimnejad and Tavana, Appl Math Model, 2014, 38 : 4388-4395; Kumar et al., 2011, Appl Math Model, 35 : 817-823; Satti et al., Int J Decis Sci, 7 : 312-33) …can also be solved by thier proposed method. In addition to that, to show the advantages of their proposed method over the existing methods (Ganesan and Veermani, Ann Oper Res, 2006, 143 : 305-315; Ebrahimnejad and Tavana, Appl Math Model, 2014, 38 : 4388-4395; Kumar et al., 2011, Appl Math Model, 35 : 817-823; Satti et al., Int J Decis Sci, 7 : 312-33), Abdel-Basset et al. solved the same fuzzy linear programming problems by their proposed method as well as the existing methods (Ganesan and Veermani, Ann Oper Res, 2006, 143 : 305-315; Ebrahimnejad and Tavana, Appl Math Model, 2014, 38 : 4388-4395; Kumar et al., 2011, Appl Math Model, 35 : 817-823; Satti et al., Int J Decis Sci, 7 : 312-33) and shown that the results, obtained on applying by their proposed method are better than the results, obtained on applying the existing methods (Ganesan and Veermani, Ann Oper Res, 2006, 143 : 305-315; Ebrahimnejad and Tavana, Appl Math Model, 2014, 38 : 4388-4395; Kumar et al., 2011, Appl Math Model, 35 : 817-823; Satti et al., Int J Decis Sci, 7 : 312-33). After a deep study of Abdel-Basset et al. ’s method, it is observed that Abdel-Basset et al. have considered several mathematical incorrect assumptions in their proposed method and hence, it is scientifically incorrect to use Abdel-Basset et al. ’s method in its present form. The aim of this paper is to make the researchers aware about the mathematical incorrect assumptions, considered by Abdel-Basset et al. in their proposed method, as well as to suggest the required modifications in Abdel-Basset et al. ’s method. Show more

Keywords: Trapezoidal neutrosophic number (TrNNs), linear programming, neutrosophic set, ranking function

DOI: 10.3233/JIFS-181541

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 885-895, 2019

Authors: Mishra, Akansha | Kumar, Amit | Khan, Meraj Ali

Article Type: Research Article

Abstract: Bharti and Singh (International Journal of Fuzzy Systems 20 (2018), 1511-1522) proposed a method for solving a special type of interval-valued intuitionistic fuzzy transportation problems (IVIF-TPs) (transportation problems (TPs) in which the quantity of the product to be supplied is represented as a real number, whereas, all the other parameters are represented as interval-valued triangular intuitionistic fuzzy numbers (IVTIFNs)). In this note, an interval-valued intuitionistic fuzzy transportation problem (IVIF-TP) is solved by Bharti and Singh’s method and shown that more than one IVTIFNs, representing the optimal interval-valued intuitionistic fuzzy (IVIF) transportation cost is obtained, which is mathematically …incorrect as the obtained distinct IVTIFNs has different physical meanings. Also, it is pointed out that to resolve this flaw of Bharti and Singh’s method may be considered as a challenging open research problem. Show more

Keywords: Interval-valued intuitionistic fuzzy numbers, IVTIFNs, transportation problem

DOI: 10.3233/JIFS-181547

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 897-900, 2019

Authors: Dong, Yuanxiang | Hou, Chenjing

Article Type: Research Article

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as a generic mathematical tool for dealing with uncertainties. However, classical soft sets are not appropriate to deal with incomplete and inconsistent information. In this paper, we introduce the concept of paraconsistent soft sets combining paraconsistent logic and soft sets. The complement, “And”, restricted intersection, relaxed intersection, restricted cross and relaxed cross operations are defined on paraconsistent soft sets. In order to deal with incomplete and inconsistent information in decision making simultaneously, we also define paraconsistent soft decision system, choice value, decision value, the selected set and the eliminated set, and …bring up the decision algorithm. Finally, an investment decision problem with incomplete and inconsistent information is analyzed by paraconsistent soft sets. The result shows that paraconsistent soft sets with more adequate parameterization can solve decision making problems with incomplete and inconsistent information more effectively than classical soft sets. Show more

Keywords: Soft sets, paraconsistent logic, incomplete information, inconsistent information, decision making

DOI: 10.3233/JIFS-181553

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 901-912, 2019

Authors: Qazi, Emad-ul-Haq | Hussain, Muhammad | Aboalsamh, Hatim

Article Type: Research Article

Abstract: Representation and classification of Electroencephalography (EEG) brain signals are critical processes for their analysis in cognitive tasks. Particularly, extraction of discriminative features from raw EEG signals, without any pre-processing, is a challenging task. Motivated by nuclear norm, we observed that there is a significant difference between the variances of EEG signals captured from the same brain region when a subject performs different tasks. This observation lead us to use singular value decomposition for computing dominant variances of EEG signals captured from a certain brain region while performing a certain task and use them as features (nuclear features). A simple and …efficient class means based minimum distance classifier (CMMDC) is enough to predict brain states. This approach results in the feature space of significantly small dimension and gives equally good classification results on clean as well as raw data. We validated the effectiveness and robustness of the technique using four datasets of different tasks: fluid intelligence clean data (FICD), fluid intelligence raw data (FIRD), memory recall task (MRT), and eyes open / eyes closed task (EOEC). For each task, we analyzed EEG signals over six (06) different brain regions with 8, 16, 20, 18, 18 and 100 electrodes. The nuclear features from frontal brain region gave the 100% prediction accuracy. The discriminant analysis of the nuclear features has been conducted using intra-class and inter-class variations. Comparisons with the state-of-the-art techniques showed the superiority of the proposed system. Show more

Keywords: Electroencephalography (EEG), nuclear features, singular value decomposition (SVD), fluid intelligence, class means based minimum distance classifier (CMMDC)

DOI: 10.3233/JIFS-181586

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 913-928, 2019

Authors: Khalil, Ahmed Mostafa | Li, Sheng-Gang | Li, Hong-Xia | Ma, Sheng-Quan

Article Type: Research Article

Abstract: The major concern of this paper is to highlight the notion of possibility m -polar fuzzy soft set (because it is useful in decision-making and other similar problems). For convenience of practical applications, several operations (such as subset, equal, complement, union, intersection, inf product, and sup product) over the possibility m -polar fuzzy soft sets are introduced. We present two algorithms by using inf product or sup product operations of possibility m -polar fuzzy soft sets for fuzzy decision-making problem. Finally, we construct an algorithm using a possibility m -polar fuzzy soft set to solve the decision-making problems and illustrate …its applicability through a numerical example. From the study, we conclude that the proposed approach is viable in order to handle the uncertainties during the decision-making problems. Show more

Keywords: m-polar fuzzy set, m-polar fuzzy soft set, possibility m-polar fuzzy soft set, decision-making

DOI: 10.3233/JIFS-181769

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 929-940, 2019

Authors: Kececioglu, O. Fatih

Article Type: Research Article

Abstract: Maximum Power Point Tracking (MPPT) is one of the major functions of PV system because of the performance of PV system directly affected by atmospheric conditions. This paper first presents a novel configuration for MPPT of PV system. This configuration is combined with modified positive luo converter that is high gain dc-dc converter and Type-2 fuzzy neural network controller (T2FNNC). Modified positive luo converter that has high voltage gain and conversion efficiency is suitable for the two-stage grid integrated solar photovoltaic system. The main advantage of proposed configuration is high performance and stability against to disturbance inputs such as solar …radiation and panel temperature variations. To validate the performance of this configuration, a simulation model is built by using Matlab/Simulink. The simulation results show that proposed configuration based on modified positive output luo converter with T2FNN has a superior performance than conventional PI controllers in terms of MPP tracking efficiency under changing atmospheric conditions. Show more

Keywords: Robust control, Type-2 FNN, MPPT, modified positive output Luo converter

DOI: 10.3233/JIFS-181770

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 941-951, 2019

Authors: Abd El-latif, A.A.

Article Type: Research Article

Abstract: This paper is devoted to introduce and study new kinds of FP -multifunctions, namely FP -lower (upper) α -continuous, FP -lower (upper) almost α -continuous, and FP -lower (upper) weakly α -continuous multifunctions. Various properties of these multifunctions were investigated. We provided the relationships between these multifunctions and presented contrary examples. Finally, we gave the conditions which make these multifunctions equivalent.

Keywords: L-Fuzzy bitopological spaces, FP-lower (upper) α-continuous multifunctions, FP-lower (upper) almost α-continuous multifunctions, FP-lower (upper) weakly α-continuous multifunctions

DOI: 10.3233/JIFS-181791

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 953-964, 2019

Authors: Ding, Quanyu | Wang, Ying-Ming

Article Type: Research Article

Abstract:  This paper investigates a method to deal with multiple attribute group decision making (MAGDM) problems in which the decision makers’ weights are expressed as crisp numbers, the weights of attributes are unknown, and attribute values are expressed as interval-valued trapezoidal intuitionistic fuzzy numbers (IVTrIFNs). Firstly, some new aggregation operators are proposed, including the interval-valued trapezoidal intuitionistic fuzzy weighted geometric averaging (IVTrIFWGA) operator, the interval-valued trapezoidal intuitionistic fuzzy ordered weighted geometric averaging(IVTrIFOWGA) operator, and the interval-valued trapezoidal intuitionistic fuzzy hybrid geometric averaging (IVTrIFHGA) operator. Some desirable properties of these operators are studied. The results of using these operators for aggregation are …also interval-valued trapezoidal intuitionistic fuzzy numbers. Secondly, a fuzzy cross-entropy of interval-valued trapezoidal intuitionistic fuzzy sets(IVTrIFSs) is defined, based on which a new mathematical model is established to determine the weights of attributes. Finally, the fuzzy grey relation analysis (GRA) is utilized to rank decision alternatives. Numerical examples are provided to demonstrate the effectiveness of the proposed multiple attribute group decision making method and its advantages in overcoming the defects of the existing methods. Show more

Keywords: Multiple attribute group decision making, IVTrIFWGA operator, IVTrIFOWGA operator, IVTrIFHGA operator, fuzzy cross-entropy, grey relation analysis

DOI: 10.3233/JIFS-181810

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 965-980, 2019

Authors: Donghai, Liu | Yuanyuan, Liu | Xiaohong, Chen

Article Type: Research Article

Abstract: Considering that the existing cosine similarity measure between hesitant fuzzy linguistic term sets(HFLTSs) has an impediment as it does not satisfy the axiom of similarity measure, we propose a new similarity measure of HFLTSs in the paper, which is constructed based on the existing cosine similarity measure and Euclidean distance measure of HFLTSs. Then the corresponding distance measure of HFLTSs is obtained according to the relationship between the similarity measure and the distance measure. Furthermore, we develop the TOPSIS method to the proposed distance measure in hesitant fuzzy linguistic decision environment and apply the closeness coefficients to rank the alternatives. …The main advantage of the proposed method is that it not only considers the distance measure from the point view of algebra and geometry but also overcomes the disadvantage of the existing cosine similarity measure. Finally, an example is provided to illustrate the feasibility of the proposed method and some comparative analyses are given to show its efficiency. Show more

Keywords: Hesitant fuzzy linguistic term set, similarity measure, distance measure, TOPSIS

DOI: 10.3233/JIFS-181886

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 995-1006, 2019

Authors: Panda, Banoj Kumar | Bhanja, Urmila | Pattnaik, Prasant Kumar

Article Type: Research Article

Abstract:  In Mobile Adhoc Network (MANET), obstacles in terrain and nodes mobility are main constrains due which performance degrades. To mitigate these effects, the routing protocol should be mobility and obstacles aware. In this work, we proposed a novel Obstacle and Mobility Aware Routing (OMAR) protocol. In OMAR, for obstacles avoidance, DeCasteljau Algorithm based on Bezier curve is been used. And to reduce effects of mobility and energy shortage of a node, an Energy based Mobility Index (EMI) routing scheme is been developed. The path possesses high EMI is selected as route. The performance of proposed Mobility and Obstacle Aware Routing …protocol is evaluated using NS2 simulator. Simulation results show that the proposed algorithm reduces energy consumption, overhead, delay and increases data delivery in the network. Show more

Keywords: Obstacle awareness, mobility awareness, link duration, Bezier curve, obstacle

DOI: 10.3233/JIFS-181917

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1007-1017, 2019

Authors: Anitha, G. | Vijayakumari, V.

Article Type: Research Article

Abstract: Improving network lifetime of Wireless Sensor Network (WSN) is the prime concern for researchers to enhance the monitoring duration and reducing risk due to automation. The node lifetime is mainly determined by - the number of bits transmitted and distance between the sender and receiver. The optimal selection of Cluster Head (CH) and relay node, avoids unnecessary loss of energy due to data sharing with long distance node. A Fuzzy logic based routing algorithm is designed to enhance the network lifetime by optimally selecting CH and relay node providing less number of bits transmitted. A threshold framework is designed to …reduce the number of handshake signals, the Cluster Member (CM) starts its connection establishment and shares data once the threshold is reached, thereby improving the lifetime. The proposed algorithm when compared with LEACH protocol exhibits that the improvement with respect to lifetime is 1.44 times and with respect to throughput it is 1.17 times. Since the algorithm takes the average energy of cluster in account, equal distribution of load is observed. The unequal clustering exhibited by the proposed algorithm proves its resistance over Energy Hole and HOT SPOT problems. Show more

Keywords: Wireless sensor network (WSN), energy hole, HOT SPOT and energy efficient

DOI: 10.3233/JIFS-181923

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1019-1031, 2019

Authors: Dokht Shakibjoo, Ali | Moradzadeh, Mohammad | Moussavi, Seyed Zeinolabedin | Afrakhte, Hossein

Article Type: Research Article

Abstract: Load frequency control (LFC) is one of the important control problems in design and operation of power systems as permanent deviation of frequency from nominal value affects power system operation and reliability. This paper presents a control method based on neural network for LFC of a two-area power system containing re-heat thermal plants. System parameters are assumed to be unknown and the proposed type-2 fuzzy controller is designed online, is adaptive and does not require initial adjustment by the operator. The training method of the type-2 fuzzy controller includes error back-propagation and gradient descent. In this paper, since the …dynamics of the system is unknown, it is modelled using multilayer perceptron (MLP) structure, and Jacobian of the system is extracted to determine system model. In order to evaluate the robustness of proposed online adaptive fuzzy type-2 controller (OADF) against parameter changes, a time-variant parameter is added to the system. The performance of the controller is compared with the PI, PID, N-PID, fuzzy-PI and neural network controllers. Simulation results illustrate the improved performance of LFC and its capability to overcome uncertain and time-variant parameters. Show more

Keywords: LFC, adaptive type-2 fuzzy control, multi-area power system, MLP, back-propagation and gradient descent

DOI: 10.3233/JIFS-181963

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1033-1042, 2019

Authors: Yan, Shuli | Liu, Sifeng | Zeng, Xiangyan

Article Type: Research Article

Abstract: A new dynamic multi-attribute group decision making method based on matrix grey target decision model is proposed. The attributes’ data of alternatives about decision makers in different stages are represented by matrices, and they are considered as performance values in 4-dimensional space. The best, worst attributes’ values in other 3-dimensions formed the new matrices, which are defined as expected bull’s-eye, unexpected bull’s-eye, and then the deviations of alternatives and expected, unexpected bull’s eye are presented using matrix norm. The alternatives are ranked by the deviations. Finally, the examples are provided to illustrate the proposed method.

Keywords: Dynamic multi-attribute group decision making, Matrix grey target model, 4-dimensional space, matrix norm

DOI: 10.3233/JIFS-181973

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1043-1053, 2019

Authors: Zhou, Linna | Shen, Leping | Yang, Chunyu

Article Type: Research Article

Abstract:  This paper presents a disturbance-observer based sliding mode control (SMC) for fuzzy singularly perturbed systems (SPSs) with uncertainties and disturbances. Firstly, we designed a linear sliding surface. The sliding surface parameter matrix is determined by solving linear matrix inequalities (LMIs). The stability of the sliding mode is proved by a Lyapunov function. Secondly, a disturbance observer is designed to estimate the disturbance, and the obtained disturbance estimate is incorporated in the design of SMC. The reachability condition under the fuzzy SMC law is shown to be satisfied. Finally, simulation results show the feasibility and effectiveness of the proposed control method.

Keywords: Singularly perturbed systems (SPSs), sliding mode control (SMC), linear matrix inequality (LMI), T-S fuzzy model

DOI: 10.3233/JIFS-181995

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1055-1064, 2019

Authors: Thao, Nguyen Xuan | Smarandache, Florentin

Article Type: Research Article

Abstract: Pythagorean fuzzy sets are an extension of the intuitionistic fuzzy sets, and it also overcomes the limitations of the intuitionistic fuzzy sets. The entropy of a Pythagorean fuzzy set (PFS) is a measure of uncertainty related to the PFS. In this article, we exploit the concept of probability for defining the fuzzy entropy of Pythagorean fuzzy sets as an extension of the fuzzy entropy of Intuitionistic fuzzy sets (IFSs). Compared to some previous measures, the new measure is simpler, closer to the statistical significance and it reflects better fuzzy properties. After that, we give some numerical examples to compare our …proposed entropy measure to some existing entropy of Pythagorean fuzzy sets. The results on numerical examples show that the proposed entropy measures seem to be more reliable for presenting the degree of fuzziness of a PFS and/or IFS. We also proposed a COPRAS multi-criteria decision-making method with weights calculated based on the proposed new entropy measure. The illustrated numerical example shows that the calculated results according to the proposed new method are similar to the calculation results according to some other existing methods. Show more

Keywords: Pythagorean fuzzy sets, entropy measures, COPRAS method

DOI: 10.3233/JIFS-182540

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1065-1074, 2019

Authors: Yong, Rui | Zhu, Aqin | Ye, Jun

Article Type: Research Article

Abstract:  A cubic hesitant fuzzy set is a hybrid set which can express uncertain and hesitancy fuzzy information simultaneously. For multiple attribute decision-making problems in engineering practice, the complicated decision information is generally incomplete and indeterminate. Cubic hesitant fuzzy set can be a valuable tool for describing uncertain and hesitancy fuzzy information in uncertain decision environment. Nevertheless, no similarity measure has been used to solve decision-making problems under cubic hesitant environment in previous studies. This paper presents a Jaccard similarity measure between cubic hesitant fuzzy sets and investigates their properties. Then a multiple attribute decision-making method is developed based on the …weighted Jaccard similarity measure under cubic hesitant environment. Using this method, the similarity measure values between the ideal alternative and each evaluated alternative are determined to obtain the ranking order of similarity measure values and the best alternative. An illustrative example of the selection problem of project alternatives is utilized to illustrate the application of the developed decision-making method. Finally, the validity of the proposed decision-making method was demonstrated based on the comparison of the decision-making results of the illustrative example with two distance-based similarity measures. Show more

Keywords: Cubic hesitant fuzzy set, multiple attribute decision-making, similarity measure, Jaccard measure

DOI: 10.3233/JIFS-182555

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1075-1083, 2019

Authors: Ulaganathan, M.S. | Devaraj, D.

Article Type: Research Article

Abstract: The Maximum Power Point Tracking (MPPT) controller plays a vital role in maximizing power output from the solar Photovoltaic (PV) sources. The tracking efficiency of the MPPT controller is affected by a rapidly varying environmental condition. This paper presents a novel MPPT controller for standalone PV system based on a Neural Network (NN) and Gain-scheduled Proportional Integral (GS-PI) controller to track the fast-changing Maximum Power Point (MPP).The NN model is trained to predict the operating parameters of the PV array at which maximum power is generated. The gain scheduled PI controller parameters are optimally tuned with Real-coded Genetic Algorithm (RGA) …to improve the controller performance. The developed MPPT controller is used to control the power converter in the solar PV system. The PV array along with the control scheme is developed using LabVIEW and Multisim environment. Further, the performance of the developed control strategy is experimentally validated with solar PV emulator and DC-DC boost converter under the varying irradiation conditions. The tracking performance of the developed MPPT controller is compared with the modified Perturb and Observe and NN+PI controller based MPPT controller. The experimental results reveal that the tracking performance of the developed MPPT technique is much improved and more accurate in MPP tracking. Show more

Keywords: Neural networks, Real Coded Genetic Algorithm, gain scheduled PI controller, P&O algorithm

DOI: 10.3233/JIFS-182556

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1085-1098, 2019

Authors: Zeng, Wenyi | Li, Deqing | Yin, Qian

Article Type: Research Article

Abstract: Hesitant fuzzy linguistic term set(HFLTS), which permits decision makers to use several linguistic terms to assess a variable, is a useful tool to deal with situations in which people are hesitant in providing their assessment. In this paper, we introduce the concept of weighted hesitant fuzzy linguistic term set(WHFLTS), in which different weights are designed to these possible linguistic terms, and the weights indicate that the decision maker has different confidence in giving every possible assessment. After that, we introduce some operations such as union, intersection, complement, multiplication of weighted hesitant fuzzy linguistic elements, discuss their operation properties, and …propose the score function of the weighted hesitant fuzzy linguistic element(WHFLE) to compare weighted hesitant fuzzy linguistic elements(WHFLEs). Furthermore, we introduce the concept of hesitance degree of weighted hesitant fuzzy linguistic element, present four aggregation operators such as the weighted hesitant fuzzy linguistic weighted averaging(WHFLWA) operator, the weighted hesitant fuzzy linguistic weighted geometric(WHFLWG) operator, the generalized weighted hesitant fuzzy linguistic weighted averaging(GWHFLWA) operator and the generalized weighted hesitant fuzzy linguistic weighted geometric(GWHFLWG) operator to aggregate weighted hesitant fuzzy linguistic information, and build the mathematical model of multi-criteria group decision making based on weighted hesitant fuzzy linguistic environment. Finally, two numerical examples are used to illustrate the effectiveness and applicability of our proposed method. Show more

Keywords: Hesitant fuzzy sets, Hesitant fuzzy linguistic term sets, Weighted hesitant fuzzy linguistic term sets, Aggregation operator, Group decision making

DOI: 10.3233/JIFS-182558

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1099-1112, 2019

Authors: Yi, Zeren | Li, Guojin | Chen, Shuang | Xie, Wei | Xu, Bugong

Article Type: Research Article

Abstract:  This paper presents a navigation algorithm based on interval type-2 fuzzy neural network fitting Q-learning (IT2FNN-Q), and succeeds in providing a solution for mobile robot navigation in complex environments. The algorithm utilizes the fuzzy reasoning adaptive ability and extensive functional approximation features of IT2FNN to solve this problem, mapped from state space to action space, of the Q-learning algorithm in unknown environments. Compared with the BP fitting Q-learning algorithm (BP-Q), IT2FNN-Q endows the robot with better adaptive and real-time decision-making abilities and solves the slow convergence and nonconvergence problems, through its local approximation. By comparison with the fuzzy neural network …fitting Q-learning algorithm (FNN-Q), this proposed algorithm has more advantages for dealing with the external uncertainty, enabling the robot to complete a better path with less fuzzy rules. The results of the simulation and comparison of the proposed method with FNN-Q and BP-Q revealed that the mobile robot can navigate itself in complex environments with fewer steps, obtaining more reward values by adopting the algorithm presented in this paper. Show more

Keywords: Mobile robots, Q-learning, robot navigation, interval type-2 fuzzy neural network (IT2FNN)

DOI: 10.3233/JIFS-182560

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1113-1121, 2019

Authors: Xing, Yuping | Zhang, Runtong | Zhu, Xiaomin | Bai, Kaiyuan

Article Type: Research Article

Abstract: Multiple attribute decision making (MADM) problems widely exist in real decision making, and MADM methods with linguistic information have achieved great success. However, as the complexity of decision making problems is increasing in the real world, it is of great necessity to further develop new expression of evaluation information and aggregation technologies that can reflect the correlation among multi-attributes under uncertain decision-making environment. In response, this paper originally presents q -rung orthopair fuzzy uncertain linguistic set (q -ROULS) by combining q -rung orthopair fuzzy set (q -ROFS) and uncertain linguistic set (ULS). Then operational laws, expected functions and accuracy functions …of q -rung orthopair uncertain linguistic variables (q -ROULVs) are also defined. Considering the correlation between q -ROULVs, we propose a family of q -rung orthopair fuzzy uncertain linguistic Choquet integral operators to aggregate q -rung orthopair uncertain linguistic information. Further, a novel MADM technique is presented based on the proposed q -rung orthopair fuzzy uncertain linguistic Choquet integral operators. The developed MADM method with q -rung orthopair fuzzy uncertain linguistic information enriches fuzzy decision-making theory and provides a new way for decision makers (DMs) under q -rung orthopair fuzzy uncertain linguistic environment. Show more

Keywords: q-rung orthopair fuzzy uncertain linguistic set, q-rung orthopair uncertain linguistic choquet integral operators, multi-attribute decision making

DOI: 10.3233/JIFS-182581

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1123-1139, 2019

Authors: Renisha, G. | Jayasree, T.

Article Type: Research Article

Abstract: The rapid development in technology has led to a colossal surge in the use of biometric authentication system. Speaker identification biometric is one of the fields that is under progress and demands more and more precision. The objective of this research is to explore the issue of identifying a speaker from voice regardless of the content. Perceptual Wavelet Packet Transform (PWPT) and Artificial Neural Networks (ANN) approach are discussed in this paper for speaker identification. Perceptual Wavelet Packet Cepstral Coefficients (PWPCC) are used for transforming speech into spectral feature vectors, and the most germane aspects of the speech signal are …selected from the energy and variance distribution characteristics. These selected attributes are presented to the Cascaded Feedforward Neural Network (CFNN) and trained with Levenberg-Marquardt Back Propagation (LMBP) algorithm for further classification. The performance of the network is determined by evaluating the Speaker Identification Rate (SIR). For comparison, five different gradient descent training algorithms are considered and it is found that the LMBP produces better performance. The proposed model is evaluated for clean as well as noisy speech at various SNR levels and is found to be competitive, and the experimental results show significant improvement in speaker identification rate compared with other classical methods. Show more

Keywords: Perception, wavelet, speaker, speech, neural network

DOI: 10.3233/JIFS-182599

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1141-1153, 2019

Authors: Maini, Tarun | Kumar, Abhishek | Misra, Rakesh Kumar | Singh, Devender

Article Type: Research Article

Abstract:  This paper focuses on Fuzzy rough set, which is the fusion of fuzzy sets and rough sets theory for doing feature selection. For selecting the appropriate feature subset, swarm algorithms are used. The fitness function used here is Fuzzy Rough Dependency Measure. This paper demonstrates that by optimizing the fitness function, swarm algorithms are capable to select the best subset of features. Further, in this paper, an attempt has been made to improve the capability of the swarm based algorithms such as Intelligent Dynamic Swarm (IDS) and Particle Swarm Optimization (PSO) through modified initialization of solutions, for picking the appropriate …features for the feature selection task. Improvement in the size of reducts and classification accuracy of these reducts are observed when initialization is done using the proposed method. Statistical t-tests have also been performed for the validation of the results. Show more

Keywords: Feature selection, fuzzy rough set, rough set, particle swarm optimization, intelligent dynamic swarm, classification accuracy, t-test

DOI: 10.3233/JIFS-182606

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1155-1164, 2019

Authors: Afrasiabi, Mousa | Afrasiabi, Shahabodin | Parang, Benyamin | Mohammadi, Mohammad

Article Type: Research Article

Abstract: Differential protection of power transformers, as the fundamental protection, plays an important role in power system reliability and security. The main challenge in differential protection is discrimination between internal faults of power transformers and inrush current. Development of differential protection, especially discrimination between internal faults from other disturbances, have been a favorite subject in power system protection field over decades. Traditional methods proposed so far have several shortcomings: i) high computational burden, ii) sensitivity to noise, iii) being influenced by predefined threshold value/additional parameters/different models at varying ambient conditions, and iv) dependence on handcrafted or spectral analysis to extract features. …Deep neural networks (DNN) is selected as the potential solution in this paper, which is able to capture the hierarchical features of a half-cycle of raw data. This paper proposes convolutional neural networks (CNN), in which batch normalization and scaled exponential linear unit (SELU) are merged to enhance differential protection performance. In order to generalize the CNN-based differential protection, several external factors, i.e. the compensation error of current transformer (CT) saturation, series compensated line, and superconducting fault current limiter (SFCL) are conducted to verify the reliability of the proposed method through different reliability metrics. The simulation and experimental results are assessed to show high reliability and the speed of the proposed method. Show more

Keywords: Inrush current, Power transformer protection, Differential protection, Convolutional neural network (CNN)

DOI: 10.3233/JIFS-182615

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1165-1179, 2019

Authors: Hamidi, Mohammad | Borumand Saeid, Arsham | Smarandache, Florentin

Article Type: Research Article

Abstract: This study introduces the notion of n -valued refined neutrosophic (EQ -subalgebras)EQ –(pre)filters and investigates some of their properties. We show how to construct n -valued refined neutrosophic EQ -(pre)filters and determine the relationship between n -valued refined neutrosophic EQ -(pre)filters and EQ –(pre)filters with respect to (α , β , γ )-level set. Finally, the extension of n –valued refined neutrosophic EQ –(pre)filters are considered via homomorphisms and some applications of n –valued refined neutrosophic EQ –(pre)filters are presented.

Keywords: n–valued refined neutrosophic EQ–subalgebras, n–valued refined neutrosophic EQ–(pre)filters

DOI: 10.3233/JIFS-182618

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1181-1196, 2019

Authors: Kutlu Gündoğdu, Fatma | Kahraman, Cengiz

Article Type: Research Article

Abstract: The extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS), whose membership functions are based on three dimensions, aim at collecting experts’ judgments more informatively and explicitly. In the literature, generalized three-dimensional spherical fuzzy sets have been developed by Kutlu Gündoğdu and Kahraman (2019), including their arithmetic operations, aggregation operators, and defuzzification operations. Spherical Fuzzy Sets (SFS) are a new extension of Intuitionistic, Pythagorean and Neutrosophic Fuzzy sets, a SFS is characterized by a membership degree, a nonmembership degree, and a hesitancy degree satisfying the condition that their squared sum …is equal to or less than one. These sets provide a larger preference domain in 3D space for decision makers (DMs). In this paper, our aim is to extend classical VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method to spherical fuzzy VIKOR (SF-VIKOR) method and to show its applicability and validity through an illustrative example and to present a comparative analysis between spherical fuzzy TOPSIS (SF-TOPSIS) and SF-VIKOR. We handle a warehouse location selection problem with four alternatives and four criteria in order to demonstrate the performance of the proposed SF-VIKOR method. Show more

Keywords: Spherical fuzzy sets, multicriteria decision making, VIKOR, warehouse location selection

DOI: 10.3233/JIFS-182651

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1197-1211, 2019

Authors: Zhu, Cheng | Mesiar, Radko | Yager, Ronald R. | Merigo, Jose | Qin, Jindong | Feng, Xiangqian | Jin, Lesheng

Article Type: Research Article

Abstract: In this work, we propose some two-layer preference models that can be appropriately applied in management problems such as the group decision making about predicting the future market share of certain product. By introducing the convex IOWA operator paradigm and some related properties and definitions, we list some detailed preference and inducing preference models to demonstrate and exemplify the proposed conceptual frame of two-layer preference model. The convex IOWA operator paradigm facilitates the modeling process and, from mathematical view, makes it stricter. When relevant inducing information and aggregation selection change, the proposed models can be easily adapted to accommodate more …different applications in decision making and evaluation. Show more

Keywords: Aggregation operators, decision making, induced aggregation, ordered weighted averaging operators, orness/andness, preference model

DOI: 10.3233/JIFS-182671

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1213-1221, 2019

Authors: Li, Jiansheng | Gong, Zengtai | Shao, Yabin

Article Type: Research Article

Abstract: Intuitionistic fuzzy transform is an approximate method based on the intuitionistic fuzzy partition. To begin with, a novel definition of intuitionistic fuzzy partition is given, and the properties of triangular intuitionistic fuzzy partition are also given. Secondly, the method of intuitionistic fuzzy transform is introduced, which transforms a continuous function into two gravity vectors according to the membership and non-membership functions that based on intuitionistic fuzzy partition. Some fundamental properties of intuitionistic fuzzy partition are surveyed. Thirdly, the method of inverse intuitionistic fuzzy transform is established by using the previous gravity vectors corresponding to the intuitionistic fuzzy partition. The results …show that the approximate function of the original one can be rebuilt by the membership and non-membership functions respectively. even a hybrid approximate function can be rebuilt by both the membership and non-membership functions. Finally, some elementary properties of the inverse intuitionistic fuzzy transform are studied and the method is illustrated by a specific example. Show more

Keywords: Intuitionistic fuzzy set, intuitionistic fuzzy partition, intuitionistic fuzzy transform, inverse intuitionistic fuzzy transform

DOI: 10.3233/JIFS-182681

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1223-1232, 2019

Authors: ElAraby, M.E. | Abuelenin, Sherihan M. | Moftah, Hossam M. | Rashad, M.Z.

Article Type: Research Article

Abstract: Cloud computing offers elastic features to alleviate the challenges of web crawling. Building crawlers in a scalable fashion has become highly needed. This paper proposes a new Focused Crawler (FC) architecture that can be introduced as a service over the cloud computing. The proposed FC has a service called a Topic Filter Service (TFS), which is responsible for filtering retrieved pages before indexing and extracting links to add them in the crawling queue. TFS relies on the Deep Neural Network (DNN) classifier. TFS is trained by a dataset. This dataset is processed by an outlier rejection using support vector machine …classifier. Moreover, this proposed FC has a further service called Concept Weight Handler (CWH). It is responsible for handling the keywords such as concepts based on meanings and it calculates the weight of each concept. Experimental results show that cloud computing services provide a better environment for running and improving the speed of crawling. The proposed classifier has been tested in comparison with other classification techniques and has proved highly accurate. The overall accuracy offered by the employed architecture confirms that the effectiveness and performance of the proposed FC is high. Show more

Keywords: Focused Crawler, deep neural network, cloud computing, topic filter service, concept web page

DOI: 10.3233/JIFS-182683

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1233-1245, 2019

Authors: Yang, Rong | Wang, Yun | Hui, Bin | Qiu, Li

Article Type: Research Article

Abstract: The Choquet integral, established with respect to signed fuzzy measure, is an effective aggregation tool in information fusion and classification. Critical coefficients in Classifiers based on Choquet Integral (CCI) are the values of signed fuzzy measure. Currently, determination of these coefficients is either preset subjectively by experience, or retrieved by global optimization methods which are time-consuming, especially when the number of predictive attributes is large. In this paper, an analytic derivation to retrieve the values of signed fuzzy measure in CCI is proposed via discriminant analysis for the first time. On this basis, a generalized Hierarchical Classifiers based on Choquet …Integral (HCCI) is established, where a set of scaling parameters is added to CCI to balance the scales of different dimensions. Retrieving of the scaling parameters and the signed fuzzy measure is achieved by a hierarchical structure of program in which a genetic algorithm is embedded with the analytic derivation being proposed in this paper. Performance validation on synthetic and benchmark data sets are conducted to reveal the feasibility and effectiveness of the proposed methods. Show more

Keywords: Classification, Choquet integral, fuzzy measure, discriminant analysis, genetic algorithm

DOI: 10.3233/JIFS-182699

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1247-1258, 2019

Authors: Abdullah, Lazim | Mohd, Wan Rosanisah Wan

Article Type: Research Article

Abstract: Pythagorean fuzzy Hamacher aggregation operator is one of the aggregation operators in a Pythagorean fuzzy decision making environment. In most cases, it is assumed that all elements in Pythagorean fuzzy set (PFSs) are independent. However, in real life of decision problems, most of the criteria are interrelated. Population size in a solid waste management decision, for example, is related to human health since the two criteria are mutually dependent. This paper aims to introduce an aggregation operator that purposely dealt with the interactions between elements of PFSs. The Choquet integral operator is used to propose an innovation to the Pythagorean …fuzzy Hamacher operator. Pythagorean fuzzy Hamacher Choquet integral average operators (PFHCIA) and Pythagorean fuzzy Hamacher Choquet integral geometric operators (PFHCIG) are proposed. The beauty of the proposed operators is it consider the interaction of the criteria in the decision making process. The proposed aggregation operators are the extension to the Pythagorean fuzzy Hamacher aggregation operators where Choquet integral is used to handle interactions between criteria. As the case study is considered, a water resource management problem is presented to portraythe application the proposed approach. Comparable results are also presented to check its feasibility and effectiveness. It is shown that the ranking using the proposed operators are inconsistent with the existing method. The importance of an aggregation function that can capture the problem of interdependence between the criteria is the main contribution of this paper. Show more

Keywords: Pythagorean fuzzy set, aggregation operators, hamacher operation, decision-making, choquet integral

DOI: 10.3233/JIFS-182704

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1259-1274, 2019

Authors: Mehmood, Faisar | Ali, Rashid | Hussain, Nawab

Article Type: Research Article

Abstract:  In this paper, by introducing the concept of a fuzzy rectangular-b -metric space, the notion of a fuzzy metric space and a fuzzy b -metric space are generalized. The well known metric fixed point theorems are established in the setting of fuzzy rectangular b -metric spaces and illustrated by examples. To show the significance of our result an application is presented to establish the existence of a solution of integral equation. Our results generalize many existing theorems in the literature.

Keywords: b-metric space, Fuzzy b-metric space, Fixed points, Contractions

DOI: 10.3233/JIFS-182719

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1275-1285, 2019

Authors: Manuel Escaño, Juan | Sánchez, Adolfo J. | Witheephanich, Kritchai | Roshany-Yamchi, Samira | Bordons, Carlos

Article Type: Research Article

Abstract: In this work, a novel methodology is presented to reduce the computational complexity of applying explicit solution of Model Predictive Control (MPC). The methodology is based on applying the functional principal component analysis , providing a mathematically elegant approach to reduce the complexity of rule-based systems, like piecewise affine systems, allowing the reduction of the number of consequents and combining and merging the antecedents. Thus, the application of MPC is allowed in systems with low computational requirements, such as programmable logic controllers, embedded systems, etc. The proposed design has been validated using an industrial distiller model.

Keywords: Piece wise affine, functional principal component analysis, model predictive control, fuzzy control

DOI: 10.3233/JIFS-182743

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1287-1298, 2019

Authors: Su, Hongsheng | Wang, Danting | Su, Lan

Article Type: Research Article

Abstract: In view of defects that traditional Fuzzy Analytical Hierarchy Process (FAHP) cannot accurately describe the ambiguity and randomness of the assessment, and as well as inconsistency existed in judgment process, in this paper a novel risk evaluation method is proposed using Fuzzy Failure Modes Effects and Criticality Analysis (FMECA) based on could model. The method firstly applies FMECA to identify the risk, and then uses FAHP to determine the subjection degree function with cloud model based. In the end, the group decision can be conducted with the synthetically aggregated cloud model, which can be directly observed through the distribution of …the cloud pictures. Compared with traditional FAHP, the relevant practical examples in Chinese train control (CTC) systems show that the results of the two possess difference due to their original data coming from different 20-expert questionnaires, the reason is found that there exists inconsistence in 20-expert questionnaires on FAHP via t -examination method. Hence, though another 20-expert questionnaires and after inconsistence test, we obtain consistent result in both methods, but the Fuzzy-FMECA with cloud model based could implement the transformation between exact value and quantized one by incorporating the ambiguity and randomness, and provide more abundant information than subjection degree function of the conventional FAHP method, and possesses better consistency, and is a feasible and more effective decision method. In addition, the correlation coefficient method and center-of-gravity method are also applied to verify the correctness and effectiveness of the proposed method, and such that it can be widely applied to solve real-world practical issues. Show more

Keywords: Risk, fuzzy analytical hierarchy process (FAHP), cloud model, Chinese train control(CTC) systems, t-examination, validation

DOI: 10.3233/JIFS-182745

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1299-1309, 2019

Authors: Jia, Ruru | Bai, Xuejie | Song, Fengxuan | Liu, Yankui

Article Type: Research Article

Abstract: Sustainable development problem involves several conflicting criteria on economy, energy, environment and social aspects and some sources of uncertainty due to its attribute. It is necessary to mitigate risks in sustainable development schedule. However, the existing literature includes limited quantitative research on robust strategies for sustainable development under uncertainty. Under these concerns, this paper presents a robust multi-objective optimization formulation for allocating labor across economic sectors to simultaneously satisfy economy (gross domestic product, GDP), environment (greenhouse gas (GHG) emissions), energy (electricity) and society (labor), in which the per capita GDP, per capita electricity consumption, per capita GHG and per capita …rate of unemployment are robust uncertainty. There are three conflicting objectives in our sustainable development problem. The first objective maximizes the sectoral GDP, the second objective minimizes the sectoral electricity consumption and the third objective minimizes the sectoral GHG emissions. We adapt ɛ -constraint method to deal with the multiple objectives for the sustainable development problem, and obtain a more flexible result via an interactive decision-making process. Since uncertainty has often led to computationally intractable models, we reformulate the proposed model using robust optimization method into the tractable robust counterpart (RC) forms under two types of uncertainty sets. Finally, to demonstrate the effectiveness and applicability for our model, we conduct a case study for meeting year 2030 sustainable development of the United Arab Emirates (UAE). The numerical results show: (a) the robust multi-objective model is effective in uncertain environment and provides a reliable decision tool than deterministic model for integrated multi-objective sustainable development problem; (b) when the possibility distributions of uncertain parameters are available, fuzzy optimization model can provide better decision-making than robust model under box uncertainty set. Show more

Keywords: Sustainable development, multiple objectives, robust optimization, fuzzy optimization

DOI: 10.3233/JIFS-182763

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1311-1326, 2019

Authors: Peng, Xindong

Article Type: Research Article

Abstract:  This paper is designed to show deeper standpoints for dealing the decision making issues based on intuitionistic fuzzy soft set (IFSS). Firstly, we propose a novel definition and formula of similarity measure on intuitionistic fuzzy information, which can reserve more original judgment information. Afterwards, we present a combination weight that take the objective weight (obtained by grey system theory) and the subjective weight into consideration. Later, three intuitionistic fuzzy soft methods based on similarity measure, MABAC and EDAS are presented for dealing the decision making issues. Finally, the validity of methods are stated by some practical examples. The key characteristics …of the developed methods have no strict requirements for decision data and possess a stronger ability in differentiating the best alternative. Show more

Keywords: Similarity measure, combination weights, IFSS, MABAC, EDAS

DOI: 10.3233/JIFS-182768

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1327-1341, 2019

Authors: Dinçer, Hasan | Yüksel, Serhat

Article Type: Research Article

Abstract: The selection of investment strategies is one of prominent issues for the service industries in the competitive market environment. The aim of the study is to evaluate the investment strategies for the European tourism industry using a hybrid decision making approach based on the interval type-2 fuzzy sets. For this purpose, a set of criteria and dimensions for the investments strategies of the European tourism is proposed. Interval type-2 fuzzy DEMATEL is applied to weight the criteria and dimensions and interval type-2 fuzzy MOORA is used for selecting the best investment strategies for the European tourism industry. The novelty of …the study is to propose a set of investment strategies for the European tourism and the extended methods for DEMATEL and MOORA under the fuzzy environment. A novel hybrid approach is also proposed to the decision-making process based on the interval type-2 fuzzy sets. The major results are summarized as European countries should firstly focus on increasing the number of touristic facilities in the coast line to attract the attention of the tourists. Similarly, it can also be beneficial for these countries make more private security investment for the tourists to feel more secured while visiting historical places. Owing to these strategies, it can be possible to develop European tourism industry. Show more

Keywords: Tourism, investment strategies, interval type-2 fuzzy DEMATEL, interval type-2 fuzzy MOORA, industry

DOI: 10.3233/JIFS-182773

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1343-1356, 2019

Authors: Bouaita, Bilal | Moussaoui, Abdelouahab | Bachari, Nour El Islam

Article Type: Research Article

Abstract: The Meteosat Second Generation (MSG) satellite can be used to estimate rainfall through the multispectral images, which are provided every 15 min across 12 channels. However, most studies have not maximized the terabytes of data provided by the channels in this satellite, which are potentially rich in new resources that need to be exploited. Moreover, these studies classify pixels conventionally, where a pixel is considered either 100% precipitant or 0% (no-precipitant), whereas actually it cannot be classified in a clear and unambiguous way. To address this problem, we propose a method that exploits the images of the channels and constructs …an estimation model in the form of fuzzy association rules to estimate the rainfall in Northeastern Algeria. Each rule is in if (condition)-then (conclusion) form, where the condition is a combination of the various fuzzy classes of MSG images, and the conclusion contains a single fuzzy class that represents the intensities of rain: no-rain, low, moderate, and high. The obtained results are compared with the data obtained by the European Organization for the Exploitation of Meteorological Satellites Multisensor Precipitation Estimate program. Show more

Keywords: Data mining, MSG images, apriori algorithm, fuzzy association rules, fuzzy c-means algorithm

DOI: 10.3233/JIFS-182786

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1357-1369, 2019

Authors: Xu, Lan | Li, Peng

Article Type: Research Article

Abstract: Recently, the reform practice of government procurement of public service (GPPS) in China has been promoted gradually and got great breakthrough. Meanwhile, in order to guarantee that the expected goal of this reform achieved, mature and effective regulation is of vital importance. Considering the practical demand, the capability maturity model is applied into the evaluation of quality regulatory capability in GPPS. The concept of quality regulatory capability maturity is proposed, and the evaluation model based on TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method for probabilistic linguistic term sets (PLTSs) is provided. Taking Jiangsu Province …as an example, an empirical study of its quality regulatory capability evaluation for GPPS is conducted, through which, not only comparative results of maturity levels of different cities in Jiangsu is obtained, but the improving measures are also determined. The proposed maturity evaluation model fully reflects experts’ preferences and evaluation information, and is able to point out the direction for regulatory capability’s future promotion level by level, as well as its continual improvement. Show more

Keywords: Government procurement of public service, quality supervision, capability maturity, evaluation, probabilistic linguistic term set

DOI: 10.3233/JIFS-182788

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1371-1384, 2019

Authors: Sağiroğlu, Yasemin | Gözütok, Uğur

Article Type: Research Article

Abstract:  Metric properties, i.e. properties which are invariant relative to the group E  (3) of all Euclidean motions of the 3-dimensional Euclidean space of fuzzy curves are investigated in this paper. E  (3)-equivalence of fuzzy curves is introduced. E  (3)-equivalence of fuzzy curves is given in terms of fuzzy curvature and fuzzy torsion. All correlations between these fuzzy invariants of a fuzzy curve are described.

Keywords: Fuzzy path, fuzzy curve, invariant

DOI: 10.3233/JIFS-182805

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1385-1397, 2019

Authors: Yue, Xiaofeng | Zhang, Hongbo

Article Type: Research Article

Abstract: As one of the most popular image segmentation techniques, multi-level thresholding is widely used. Much work has been done to improve the efficiency of multi-level thresholding, but satisfied affect is hard to achieve. In this paper, a multi-level image segmentation method using between-class variance (Otsu) based on improved bat algorithm (DWBA) with dynamically adjusting inertia weight and velocity stratification theory is proposed. DWBA algorithm has strong global search ability at the beginning. Then, the local search capability is enhanced with numbers increasing of iterations. More importantly, the performance of DWBA further improved, because bats with different fitness values have diverse …velocities. Furthermore, an improved local search strategy is proposed to avoid the current best solution being replaced during iterations. The experimental results established that the proposed DWBA algorithm obtains better outcome than other algorithms. Show more

Keywords: Multi-level image segmentation, DWBA algorithm, dynamically adjusting inertia weight, velocity stratification theory, Otsu

DOI: 10.3233/JIFS-182806

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1399-1413, 2019

Authors: Zhang, Zi-Xuan | Hao, Wen-Ning | Yu, Xiao-Han | Chen, Jun-Yue | Xu, You-Wei

Article Type: Research Article

Abstract:  Due to the fact that individual knowledge is often inadequate and deficient in group decision-making problems, it is commonly seen that the preference information provided by the decision makers are incomplete. To encounter this problem lots of relevant researches have already been carried out. However, previous methods often only take into account either the information of the expert who provided incomplete preference, or information provided by the rest of the group. To be more thorough and comprehensive, this paper combined both parts of the information, by first setting the unknown preference values as output and known ones as inputs, training …the Bayesian regression model with the complete observations of other experts to detect the associations between them, and then putting in the incomplete preference information to predict the unknown ones. Moreover, inspired by the empirical rule of the Gaussian distribution, this paper also propose to combine the concept of confidence interval with that of interval-valued preference relations, by expressing the prediction results with interval-valued fuzzy reciprocal relations to allow some degree of uncertainty. On the basis of that an iterative consensus reaching process incorporated with feedback mechanism is also proposed. Finally a case study of possible application of our proposed model in project performance evaluations is carried out, the results of which then further verify the practicality and validity of our model. Show more

Keywords: Group decision making, incomplete fuzzy reciprocal preference relation, Bayesian linear regression, consensus reaching process

DOI: 10.3233/JIFS-182817

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1415-1434, 2019

Authors: Safaeian, Mojgan | Fathollahi-Fard, Amir Mohammad | Tian, Guangdong | Li, Zhiwu | Ke, Hua

Article Type: Research Article

Abstract: It is generally believed that the process of supplier selection plays a critical role in the purchasing management. To improve the performance of a supply chain network, it is essential to build a strategic and a strong relationships. As such, all firms should select the best suppliers by applying appropriate methods through different selection criteria. An appropriate supplier reduces all purchasing costs as well as increases customer satisfaction to improve the final product and strengthen corporate competitiveness. Due to the natural uncertainty of this dilemma, most of recent works show a great deal of interest in applying uncertainty approaches. The …main innovation of this paper is to develop a new multi-objective model for both supplier selection and order allocation operations considering incremental discount in a fuzzy environment. The proposed model considers the material cost with incremental discount and the transportation cost, holding costs along with its control and interest as well as the possibility of payment, brought back, and replacement costs, simultaneously, for the first time in this research area. Based on the proposed fuzzy model, the Zimmermann fuzzy approach is used in order to covert the model in a single objective form. Accordingly, a Genetic Algorithm (GA) is applied to solve the proposed problem. Based on the multi-objective optimization proposed, a Non-dominated Sorting GA (NSGA-II) is also employed to solve the developed model through the multi-objective assessment methodologies. Finally, a comprehensive evaluation and discussion based on the results are provided to reveal the performance of developed methodology. Show more

Keywords: Supplier selection, order allocation, incremental discount, zimmermann fuzzy approach, genetic algorithm, NSGA-II

DOI: 10.3233/JIFS-182843

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1435-1455, 2019

Authors: Xun, Xin | Xin, Xiao Long

Article Type: Research Article

Abstract: In this paper, we introduce the notions of node, nodal filter and seminode in equality algebras and study some properties of them. First, we study the relation between nodes and other specific elements. Furthermore, by defining some operations on N F ( E ) , which is the set of all nodal filters in an equality algebra E , we prove that ( N F ( E ) , ∧ , ↔ , E ) is an equality algebra. In fact, we show that N F ( E ) …is a Hertz algebra, BCK-algebra, Hilbert algebra, Kleene algebra and semi-De Morgan algebra. Then we investigate the relation among nodal filters and (positive) implicative, fantastic, prime, and boolean filters in any equality algebras. Finally, we study the relation between nodes and seminodes. And we prove the set of all seminodes SN (E ) is a lattice, Heyting algebra and Hertz algebra under the conditions. Show more

Keywords: Equality algebra, node, nodal filter, seminode, hertz algebra

DOI: 10.3233/JIFS-182860

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1457-1466, 2019

Authors: Fahandezi Sadi, Majid | Ansari, Ebrahim | Afsharchi, Mohsen

Article Type: Research Article

Abstract:  Supervised Word Sense Disambiguation (WSD) systems use features of the target word and its context to learn about all possible samples in an annotated dataset. Recently, word embeddings have emerged as a powerful feature in many NLP tasks. In supervised WSD, word embeddings can be used as a high-quality feature representing the context of an ambiguous word. In this paper, four improvements to existing state-of-the-art WSD methods are proposed. First, we propose a new model for assigning vector coefficients for a more precise context representation. Second, we apply a PCA dimensionality reduction process to find a better transformation of feature …matrices and train a more informative model. Third, a new weighting scheme is suggested to tackle the problem of unbalanced data in standard WSD datasets and finally, a novel idea is presented to combine word embedding features extracted from different independent corpora, which uses a voting aggregator among available trained models. All of these proposals individually improve disambiguation performance on Standard English lexical sample tasks, and using the combination of all proposed ideas makes a significant improvement in the accuracy score. Show more

Keywords: Word sense disambiguation, Word embedding, Supervised learning, Support vector machine

DOI: 10.3233/JIFS-182868

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1467-1476, 2019

Authors: Wang, Guijun | Gao, Jiansi

Article Type: Research Article

Abstract: Simple binary coded genetic algorithm (GA) and particle swarm optimization (PSO) fall easily into local minimums and fail to find the global optimal solution to the algorithm. Thus, the development of a hybrid algorithm between GA and PSO is urgently demanded. In this paper, a three-layer polygonal fuzzy neural network (PFNN) model and its error function are first given by the arithmetic operations of the polygonal fuzzy numbers. Second, the random sequences are constructed by a chaos random generator, these random sequences are used as the initial population of chaos GA and the optimal individuals for sub-populations gained by chaos …search are used as the initial population of PSO, and then an new parallel conjugate gradient-particle swarm optimization (PCG-PSO) is designed. Finally, a case study shows the proposed parallel CG-PS algorithm not only avoids dependence of traditional GA on initial values and overcomes the poor global optimization capability of traditional PSO, but also possesses advantages of rapid convergence and high stability. Show more

Keywords: Polygonal fuzzy number, polygonal fuzzy neural network, chaos genetic algorithm, particle swarm optimization, parallel conjugate gradient-particle swarm optimization

DOI: 10.3233/JIFS-182882

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1477-1489, 2019

Authors: Jani, Kuntesh K. | Srivastava, Subodh | Srivastava, Rajeev

Article Type: Research Article

Abstract: One of the most common lesions of the gastrointestinal tract (GIT) is an ulcer. Capsule endoscopy (CE) is a recent advancement in the field of gastroenterology for diagnosis of GIT abnormalities. However, CE video length ranges from 6 to 8 hours generating approximately 60000 images. For a medical expert, examination of such lengthy videos is time-consuming and tiresome. Also, the accuracy of diagnosis will largely depend upon individual expertise. A computer-aided diagnosis (CAD) system can significantly improve accuracy and reduce diagnosis time. In the proposed automated ulcer detection system, relevant features of the histogram of oriented gradients (HOG) and uniform …local binary patterns (LBP) are optimally selected by high variance low correlation (HVLC) based novel feature selection technique and the classification task is performed using support vector machine (SVM). Proposed feature selection technique reduces the feature set by 96.53% and outperforms five other state of the art feature selection techniques. The performance of proposed system is compared with other systems and it performs with accuracy, F measure and sensitivity of 95%, 95.12%, and 97.5% respectively. Show more

Keywords: Automated ulcer detection, CAD, capsule endoscopy, feature selection, HVLC

DOI: 10.3233/JIFS-182883

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1491-1498, 2019

Authors: Xing, Zhikai | Jia, Heming | Song, Wenlong

Article Type: Research Article

Abstract: Considering that the 3D pulse-coupled neural network (3D-PCNN) model has the deficiency of high parameter complexity and low accuracy in color image segmentation, swarm intelligence optimization algorithm is adopted to optimize the image segmentation process. In this paper, whale optimization algorithm (WOA) is adopted to optimize the 3D-PCNN model parameters E and β . The improved product cross entropy (IPCE) is chosen as the fitness function of optimization algorithm. WOA algorithm is used to find the minimum fitness function, and the corresponding optimal parameters are obtained. Through the study of image segmentation in the image segmentation library of University of …Berkeley and the actual plant canopy image, the maximum entropy value and the Tsallis entropy value are compared and analyzed. Experimental results illustrate that the proposed algorithm can obtain more accurate image segmentation effect and higher segmentation rate. Show more

Keywords: 3D-PCNN, color image segmentation, whale optimization algorithm, improved product cross entropy

DOI: 10.3233/JIFS-182893

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1499-1511, 2019

Authors: Zuo, Wen-Jin | Li, Deng-Feng | Yu, Gao-Feng | Zhang, Li-Ping

Article Type: Research Article

Abstract: With the development of modern property service industry, the property perceived service quality (PPSQ) evaluation data is characterized by multiple evaluation subjects, complicated data structure and large scale data. Since the traditional decision-making methods are difficult to solve the above similar problems, this paper proposes a large group decision-making (LGDM) method of generalized multi-attribute and multi-scale (MAMS) based on the linear programming technique for multidimensional analysis of preference (LINMAP). In this method, the large-scale heterogeneous data of expert preference and user evaluation is fused. The decision matrix of generalized MAMS is used to process user evaluation information. The positive ideal …solution (PIS) and the attribute weights are determined by the LINMAP model. The comprehensive evaluation values are calculated and hereby the alternatives are ranked order. According to the relation between attribute weights and preset values, a mechanism for identifying invalid data is designed. This paper analyzes a set of survey data of PPSQ for the four public construction projects in the same city. The analysis results show the validity and rationality of the proposed method, and develop the property service evaluation theory. Show more

Keywords: Large group decision-making, generalized multi-attribute and multi-scale method, linear programming technique for multidimensional analysis of preference, large-scale heterogeneous data processing, property perceived service quality

DOI: 10.3233/JIFS-182934

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1513-1527, 2019

Authors: Abbas, Syed Zaheer | Ali Khan, Muhammad Sajjad | Abdullah, Saleem | Sun, Huafei | Hussain, Fawad

Article Type: Research Article

Abstract: Pythagorean fuzzy sets (PFSs) and interval-valued Pythagorean fuzzy sets (IVPFSs) play a vital role in decision-making processes. In this paper based on PFS and IVPFS we introduce the concept of Cubic Pythagorean fuzzy set in which membership degree is an IVPFS and non-membership degree is a PFS. We define some basic operation of Cubic Pythagorean fuzzy numbers (CPFNs). We define score and accuracy functions to compare CPFNs. We also define distance between CPFNs. Based on the defined operations we develop Cubic Pythagorean fuzzy weighted averaging (CPFWA) operator and Cubic Pythagorean fuzzy weighted geometric (CPFWG) operator. We discuss some properties of …the developed operators such as idempotancy, boundedness and monotonicity. Moreover, we give a multi-attribute decision making, to show the validity and effectiveness of the developed approach. Finally, we compare our approach with the existing methods. Show more

Keywords: Pythagorean fuzzy sets, interval-valued Pythagorean fuzzy sets, Cubic Pythagorean fuzzy sets, Cubic Pythagorean fuzzy weighted averaging (CPFWA) operator, Cubic Pythagorean fuzzy weighted geometric (CPFWG) operator, decision making

DOI: 10.3233/JIFS-18382

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1529-1544, 2019

Authors: Rahman, Atta

Article Type: Research Article

Abstract: In this paper, a numerical solution to the Troesch problem using a memetic computing technique is proposed. In this regard, a linear combination of Gaussian radial basis functions (GRBF) as approximate mathematical framework is suggested. A set of unknown yet adaptable parameters are modeled in a cost function, representing the trial solution. Differential Evolution (DE) algorithm crossed with Interior Point algorithm (IPA) and Pattern Search (PS) are utilized to find the unknowns. Numerical results based on three special cases of proposed scheme are compared with the exact solution as well as many other numerical and classical approximation methods. Analysis reveals …that the proposed scheme is promising in terms of accuracy and conformation to the exact solution. Show more

Keywords: Troesch problem, differential evolution, gaussian radial basis function, boundary value problem, pattern search (PS), interior point algorithm (IPA), memetic computing (MC)

DOI: 10.3233/JIFS-18579

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1545-1554, 2019

Authors: Zhang, Haidong | He, Yanping | Ma, Weiyuan

Article Type: Research Article

Abstract: Through a combination of hesitant fuzzy sets with rough sets, this study develops a single-granulation hesitant fuzzy rough set model from the perspective of granular computing. In the multi-granulation framework, we propose two types of multi-granulation rough set model, called the optimistic multi-granulation hesitant fuzzy rough sets and pessimistic multi-granulation hesitant fuzzy rough sets. In the models, the multi-granulation hesitant fuzzy lower and upper approximations are defined based on multiple hesitant fuzzy tolerance relations. The relationships among the single-granulation hesitant fuzzy rough sets, optimistic multi-granulation hesitant fuzzy rough sets and pessimistic multi-granulation hesitant fuzzy rough sets are also investigated. Finally, …we develop an approximation reduction approach of multi-granulation hesitant fuzzy rough sets to eliminate redundant hesitant fuzzy granulations with a detailed example. Show more

Keywords: Single-granulation hesitant fuzzy rough set, Multi-granulation hesitant fuzzy rough set, Hesitant fuzzy granulations, Approximation reduction

DOI: 10.3233/JIFS-18586

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1555-1567, 2019

Authors: Wang, Fang | Li, Xiao-Tong | Zhao, Jin | Chen, Shao-Hua

Article Type: Research Article

Abstract: The multiple attribute decision making (MADM) with interval grey uncertain linguistic (IGUL) is a topic of current interest, and various methods have been developed. However, few approaches taking the behavioral characteristics of the decision maker into account. In this paper, an extension of TODIM (i.e., an acronym in Portuguese of interactive and multiple attribute decision making) method, in which three behavioral characteristics of the decision maker (i.e., risk aversion, reference dependence and loss aversion) are considered, is proposed. First, the δ -Hamming distance is defined to deal with the interval grey uncertain linguistic variables by considering the level of the …decision maker’s risk aversion, and its distinguish ability is validated by compared to the classical Hamming distance. Then, the details of the TODIM· SIR method is demonstrated: (i) considering the reference dependence behaviour of the decision maker, the positive-ideal alternative (i.e., PIA ) and the negative-ideal alternative (i.e., NIA ) are defined, and the gain and loss degrees of each alternative relative to NIA and PIA are computed based on the δ -Hamming distance; (ii) taking the loss aversion behaviour of the decision maker into account, the perceived dominance degree of the decision maker for the gain and the loss is calculated; (iii) according to the idea of the Superiority and Inferiority Ranking method (i.e., SIR, an outranking method), the Gain-flow and the Loss-flow are defined, and the partial ranking orders and the complete ranking order are obtained. Finally, two numerical examples are given to illustrate the robustness and validity of the method, and a comparative analysis is also conducted to compare the TODIM· SIR method with both the classical TODIM method and the classical SIR method. Show more

Keywords: TODIM, SIR, Multiple attribute decision making, interval grey uncertain linguistic

DOI: 10.3233/JIFS-18654

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1569-1581, 2019