Journal of Intelligent & Fuzzy Systems - Volume 32, issue 3

Authors: Wang, Xiao | Ning, Yufu

Article Type: Research Article

Abstract: Uncertain delay differential equation is a type of differential equations driven by a canonical Liu process. This paper mainly focuses on the stability of uncertain delay differential equations. At first, the concept of stability in measure, stability in mean and stability in moment for uncertain delay differential equations will be presented. In addition, the sufficient condition for uncertain delay differential equations being stable in measure, in mean and in moment will be derived. Finally, this paper will discuss the relationship among stability in measure, stability in mean and stability in moment.

Keywords: Uncertain delay differential equation, stability, uncertainty theory

DOI: 10.3233/JIFS-16639

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2655-2664, 2017

Authors: Hazarika, Bipan

Article Type: Research Article

Abstract: In this paper we introduce the concepts of ideal convergence, pointwise ideal convergence, and uniformly ideal convergence of sequences of fuzzy valued functions based on the concept of convergence of sequences of fuzzy numbers and obtain the relationship among pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions, and study their representations of sequences of α-level cuts.

Keywords: Fuzzy number, fuzzy valued function, ideal convergence, pointwise ideal convergence, uniformly ideal convergence

DOI: 10.3233/JIFS-16662

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2665-2677, 2017

Authors: Zhang, Yao | Guan, Xin

Article Type: Research Article

Abstract: Successful new product launches are significant for company survival in intense competition environments. Companies generally divide customers into different marketing segments to increase profits due to the growing focus on customer relationship management (CRM). For new product launches, developing marketing strategies towards customers in different segments is a critical issue faced by companies. To address this issue, this paper proposes a fuzzy optimization method to select marketing strategies for new products based on similar cases. In the proposed method, a case database and a target case are constructed that consist of relevant data about historical products and a new product, …respectively. Then, historical similar cases are retrieved based on similarities and adapted according to the current situation. Next, triangular fuzzy numbers are used to describe customers’ responses to the marketing strategies. Finally, a fuzzy integer linear model is constructed. By solving this model, marketing strategies for the new product towards customers in different segments can be obtained. A case study is provided to illustrate the potential for the practical application of the proposed methodology and several managerial implications are also noted. Show more

Keywords: Fuzzy integer linear programming, similar cases, marketing strategy, new product launch, customer segment

DOI: 10.3233/JIFS-16723

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2679-2695, 2017

Authors: Cui, Jia

Article Type: Research Article

Abstract: Wireless networks, which can be tasked with a target monitoring or tracking mission in various complicated environments, are guiding a revolution of sensing and gathering information, and have a bright future in a wide range of fields. Wireless networks are vulnerable to various types of security threats and pose unique challenges to security techniques due to many factors such as deployment in unattended environments, broadcast nature of the unreliable wireless channel, larger scale and multi-hop networking property in an ad hoc fashion, special data-centric traffic flow model, inter-node unconditional collaborative and trust relationship, and severe resource constraints etc. Therefore, the …key issue in further widely application of wireless sensor networks is how to give consideration to both availability and security for wireless networks. In this paper, we investigate the multiple attribute decision making problems with fuzzy linguistic information. Motivated by the ideal of generalized Bonferroni mean, we develop the generalized fuzzy linguistic Bonferroni Mean (GFLBM) operator for aggregating the fuzzy linguistic information. For the situations where the input arguments have different importance, we then define the generalized fuzzy linguistic weighted Bonferroni Mean(GFLWBM) operator, based on which we develop the procedure for multiple attribute decision making under the fuzzy linguistic environments. Finally, we give an illustrative example for evaluating the security of wireless network with fuzzy linguistic information to verify the developed approach and to demonstrate its feasibility and practicality. Show more

Keywords: Multiple attribute decision making, fuzzy linguistic variables, generalized fuzzy linguistic Bonferroni Mean(GFLBM) operator, generalized fuzzy linguistic weighted Bonferroni Mean(GFLWBM) operator, wireless network

DOI: 10.3233/JIFS-16744

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2697-2704, 2017

Authors: Li, Chengdong | Zhang, Guiqing | Yi, Jianqiang | Shang, Fang | Gao, Junlong

Article Type: Research Article

Abstract: In this study, we propose a novel fast learning data-driven method for the design of interval type-2 fuzzy logic system (IT2FLS). In order to accelerate the learning speed, we present a parallel mechanism to generate the antecedents of the IT2FLS and the least square method based learning algorithm to optimize the consequents. Firstly, driven by different sub-data sets, corresponding type-1 fuzzy logic systems (T1FLSs) which have the same initial fuzzy partition (thus the same initial fuzzy rule base) are parallelly obtained through the popular ANFIS method. Then, an ensembling strategy is proposed to form the type-2 fuzzy partition for each …input variable through merging corresponding type-1 fuzzy sets (T1FSs) in the type-1 fuzzy partitions of the learned T1FLSs. By this strategy, the antecedents of the IT2FLS are determined and then fixed, however, the consequent parameters still need to be optimized. To achieve both excellent performance and fast training speed, a least square method based learning algorithm is provided for the optimization of the consequent parameters. Finally, three benchmark problems and one real-world application are given, and detailed comparisons with some well performed methods are made. Simulation and comparison results have verified the effectiveness and superiorities of the proposed method. Show more

Keywords: Data-driven method, fast learning, fuzzy logic system, ANFIS, type-2 fuzzy

DOI: 10.3233/JIFS-16799

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2705-2715, 2017

Authors: Tong, Yun

Article Type: Research Article

Abstract: Today, with the development of economic globalization, the quality competition between enterprises has extended to the supply chain. If the enterprises want to get sustainable development, the traditional closed “Vertical Integration” mode needs to be changed; “Horizontal Integration” has become the inevitable choice of enterprises. With the development of performance management and supply chain technology, the combination of the two and focusing on the green supply chain quality management under low-carbon agricultural economy environment have become the hot topics in both academic area and practical area. In this paper, we study on the multiple attribute decision making problems to estimate …the green supply chain performance under low-carbon agricultural economy environment with 2-tuple linguistic information. Then, we propose the 2-tuple power Einstein weighted geometric (2TPEWG) operator for aggregating 2-tuple linguistic information, and then apply 2TPEWG operator for evaluating the green supply chain performance under low-carbon agricultural economy environment with 2-tuple linguistic information. In the end, we propose an example to test the effectiveness of our proposed method. Show more

Keywords: Multiple attribute decision making, 2-tuple linguistic information, power geometric operator, 2-tuple power Einstein weighted geometric (2TPEWG) operator, performance evaluation, green supply chain

DOI: 10.3233/JIFS-16802

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2717-2723, 2017

Authors: Altinok, Hifsi | Yağdiran, Damla

Article Type: Research Article

Abstract: In the present paper, we introduce the concept of strongly N θ β ( p , F , Δ m , M ) - summable with respect to the Orlicz function M and examine the notions S θ β ( F , Δ m ) - statistical convergence and strong N θ β ( p , F , Δ m , M ) - summability for different two lacunary sequences and β  ∈ (0, 1] . Moreover, we show that a sequence is S θ β …( F , Δ m ) - statistically convergent if it is strongly N θ ∣ γ ( p , F , Δ m , M ) - summable, where θ  ={ k r  } and θ ′ ={ s r  } are two lacunary sequences and give some inclusion relations between them. Show more

Keywords: Sequence of fuzzy numbers, statistical convergence, lacunary sequence, difference sequence, Orlicz function

DOI: 10.3233/JIFS-16842

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2725-2731, 2017

Authors: He, Xingxing | Li, Yingfang | Qin, Keyun | Meng, Dan

Article Type: Research Article

Abstract: The fuzzy XNOR connective, as the dual construction of the fuzzy symmetric difference operator, has been defined and discussed by Li, Qin and He [18 ]. The aim of this paper is to give a systematic investigation of properties and structures of fuzzy XNOR connectives. The main results are: (1) It is proved that the biresiduation of a t-norm is indeed a fuzzy XNOR connective. (2) The structures and properties for biresiduations and two canonical constructions of fuzzy XNOR connectives given in [18 ] are examined. The associativity of fuzzy XNOR connectives is specially investigated. (3) Three additional ways of …constructing fuzzy XNOR connectives are proposed. Show more

Keywords: Symmetric difference operator, equivalence operator, fuzzy XNOR connective, t-Norm, t-Conorm, fuzzy negation

DOI: 10.3233/JIFS-16845

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2733-2745, 2017

Authors: Akram, Muhammad | Sarwar, Musavarah

Article Type: Research Article

Abstract: A hypergraph is one of the most developing tool for modeling various practical problems in different fields, including computer science, biological sciences, social networks and psychology. Sometimes information in a network model is based on multi-object, multi-polar information or uncertainty rather than a single bit. Our aim in this research paper is to apply the powerful methodology of m -polar fuzzy sets to generalize the theory of hypergraphs. We introduce the notion of m -polar fuzzy hypergraphs, dual m -polar fuzzy hypergraphs, m -polar fuzzy line graphs and 2-section of m -polar fuzzy hypergraphs. We develop certain algorithms to construct …dual m -polar fuzzy hypergraphs and m -polar fuzzy line graphs. We also present some applications of m -polar fuzzy hypergraphs in planet surface networks, social networks and grouping of incompatible chemical substances. Show more

Keywords: m-Polar fuzzy hypergraph, m-Polar fuzzy line graph, Dual m-polar fuzzy hypergraph, Applications

DOI: 10.3233/JIFS-16859

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2747-2762, 2017

Authors: Jin, Huan

Article Type: Research Article

Abstract: Vehicle stability performance, as an important performance of automobile evaluation, it affected the performance of the vehicle and the people’s subjective feeling aspect, it is also the modern car driver that paid more and more attention to the stability performance, it is directly impacted the ride safety of the vehicle. In terms of the vehicle, stability performance affects the service life of the car, and even endanger the occupant safety; secondly, in terms of crew, people’s subjective feeling is one of the most important performance, stability performance will be evaluated by the people’s subjective feeling, the good or bad of …stability performance will be relation with each occupant comfort level, and it also make the each occupant do the correct and effective response, at the same time, it also influence the stability of the car. In this paper, we investigate the multiple attribute decision making problems for evaluating the vehicle stability performance with hesitant fuzzy information. Then, we propose the dependent hesitant fuzzy weighted Bonferroni mean (DHFWBM) operator, in which the associated weights only depend on the aggregated hesitant fuzzy arguments and can relieve the influence of unfair arguments on the aggregated results and then apply DHFWBM operator to solve the vehicle stability performance with hesitant fuzzy information. Finally, an illustrative example for evaluating the vehicle stability performance is given to verify the developed approach. Show more

Keywords: Hesitant fuzzy information, operational laws, dependent hesitant fuzzy weighted Bonferroni mean (DHFWBM) operator, vehicle stability performance

DOI: 10.3233/JIFS-16868

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2763-2769, 2017

Authors: Guo, Xiaobin | Zhang, Ke

Article Type: Research Article

Abstract: In paper a general fuzzy matrix equation X ˜ A = B ˜ is investigated by using the embedding approach. A numerical procedure for calculating the solution is designed and a sufficient condition for the existence of fuzzy solution is derived. Two examples are given to illustrate the proposed method.

Keywords: Fuzzy numbers, matrix analysis, fuzzy matrix systems, fuzzy approximate solutions

DOI: 10.3233/JIFS-16895

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2771-2778, 2017

Authors: Liu, Zhengmin | Liu, Peide | Liu, Weilong | Pang, Jinyan

Article Type: Research Article

Abstract: In this paper, a new extension of linguistic term sets called Pythagorean uncertain linguistic sets (PULSs) is defined, which is based on uncertain linguistic term sets and Pythagorean fuzzy sets (PFSs) originally introduced by Yager [41 ]. This new fuzzy linguistic set has a greater membership representation space and a more powerful expression ability than the intuitionistic uncertain linguistic sets (IULSs) proposed by Liu [18 ]. Based on the defined operations of PULSs, the Pythagorean uncertain linguistic Bonferroni mean (PULBM) operator and its weighted form are developed to capture the interrelationship among attributes. Taking into account that the classical BM …operator is based on the assumption that all attributes are interrelated, and such assumption does not always exist in most of the practical decision-making situations, we further present a Pythagorean uncertain linguistic Partitioned Bonferroni mean (PULPBM) operator and its weighted form (WPULPBM) to solve such situations where all attributes may be divided into several different categories based on specific correlation characteristics and members in the same category are interrelated while no correlation exists among different categories. Then, based on the WPULPBM operator, an approach for MADM problems with Pythagorean uncertain linguistic information is proposed. Finally, a practical example is given to illustrate the application of the proposed approach and comparison analysis is investigated with other existing methods to show the effectiveness of the proposed approach. Show more

Keywords: Multi-attribute decision making, pythagorean uncertain linguistic set, bonferroni mean, partitioned Bonferroni mean

DOI: 10.3233/JIFS-16920

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2779-2790, 2017