Journal of Intelligent & Fuzzy Systems - Volume 35, issue 3

Authors: Bo, Chunxin | Zhang, Xiaohong | Shao, Songtao | Park, Choonkil

Article Type: Research Article

Abstract: The notion of hesitant fuzzy set is introduced by V. Torra, which is a very useful tool to express peoples’ hesitancy in daily life. The notion of pseudo-BCI algebra is introduced by W. A. Dudek and Y. B. Jun, which is a kind of nonclassical logic algebra and close connection with various non-commutative fuzzy logic algebras. In this paper, hesitant fuzzy theory is applied to pseudo-BCI algebras. The new concepts of hesitant fuzzy filter and anti-grouped hesitant fuzzy filter in pseudo-BCI algebras are proposed, and their characterizations are presented. Also, the relationships between fuzzy filters and hesitant fuzzy filters are …discussed. Moreover, by introducing the notion of tip-extended pair of hesitant fuzzy filters, a new union operation (generated by the union of two hesitant fuzzy filters) is defined and it is proved that the set of all hesitant fuzzy filters in pseudo-BCI algebras forms a bounded distributive lattice about intersection and the new union. Show more

Keywords: Hesitant fuzzy set, pseudo-BCI algebra, hesitant fuzzy filter, anti-grouped hesitant fuzzy filter, lattice

DOI: 10.3233/JIFS-172024

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3333-3345, 2018

Authors: Phu, Nguyen Dinh | Hung, Nguyen Nhut

Article Type: Research Article

Abstract: In this paper, we build a metric semi-linear space L G * for lattice intuitionistic fuzzy numbers (LIFNs). We give new concepts of some operations, for example, a geometric binary addition operation, a nonnegative multiplication operation, geometric differences, and propose a new formula to calculate the derivative and integral of geometric lattice intuitionistic fuzzy functions in L G * , we introduce and establish the positive solutions of the initial value problem for geometric lattice intuitionistic fuzzy differential equation (IVP for GLIFDE), and additionally show several practical applications in …this semi-linear space with the medical intuitionistic fuzzy models. Show more

Keywords: The metric semi-linear space of lattice intuitionistic fuzzy numbers, Geometric lattice intuitionistic fuzzy differential equations, The medical intuitionistic fuzzy models

DOI: 10.3233/JIFS-172027

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3347-3358, 2018

Authors: Xie, Xuehui | Liu, Yuanyuan | Gu, Yujie | Zhou, Jian

Article Type: Research Article

Abstract: With extensive applications of fuzzy numbers, many methods for fuzzy arithmetic especially the basic operations have been developed based on Zadeh’s extension principle. Among these methods, the interval arithmetic approach and the standard approximation method are the most important and commonly used exact and approximate methods, respectively. In this paper, regarding the continuous and strictly monotone functions of triangular fuzzy numbers, we propose an inverse distribution approach to deriving the exact or well approximate membership functions for arithmetic results by embedding the credibility measure of fuzzy sets into fuzzy arithmetic. Besides, some non-complicated and complicated examples are given to illustrate …the performance of the new approach, together with a detailed comparison with the interval arithmetic approach and the standard approximate method. Furthermore, the inverse distribution approach is also applied to the fuzzy system reliability calculation based on fault tree compared with several current related researches. Show more

Keywords: Triangular fuzzy number, fuzzy arithmetic, membership function, credibility measure, inverse distribution, reliability analysis

DOI: 10.3233/JIFS-172186

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3359-3374, 2018

Authors: Wei, Bo | He, Xue | Zhang, Xiao-Yu | Yang, Hao-Yu

Article Type: Research Article

Abstract: A type of similarity measure between two vague soft sets, which contains subitem satisfying properties instead of single value parameters defined within a value range, is introduced. Some properties of the proposed similarity measure are studied. Eight detailed expression examples derived from the subitem are given. A real-world problem in handling landmark preference is solved based on this technique of similarity measure of vague soft sets. The results of an analysis of the landmark preference example are based on a comparison of the proposed similarity measure with the existing similarity measures, which is meant to demonstrate the advantages of the …proposed approach. Show more

Keywords: Vague soft sets, vague sets, soft sets, similarity measure, landmark preference

DOI: 10.3233/JIFS-172207

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3375-3386, 2018

Authors: Akram, Muhammad | Ali, Ghous | Waseem, Neha | Davvaz, Bijan

Article Type: Research Article

Abstract: In this research paper, the notions of rough m -polar fuzzy (m F, for short) sets and m F soft sets, as new hybrid models for soft computing, are introduced and some of their fundamental properties are investigated. Rough degrees of m F sets are computed. In addition, potential applications of rough m F sets and m F soft sets to decision-making problems are explored.

Keywords: Rough mF set, mF soft set, decision information system, algorithm

DOI: 10.3233/JIFS-172282

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3387-3403, 2018

Authors: Samanta, Sovan | Sarkar, Biswajit

Article Type: Research Article

Abstract: A fuzzy graph is a representation tool for many real networks. But, due to some restriction on edges, fuzzy graphs are limited to represent for some networks. In this study, generalized fuzzy graphs and generalized directed fuzzy graphs are discussed to avoid such restrictions. A pipeline network is expressed as a generalized directed fuzzy graph. In the pipeline network, the generalized membership values of edges and vertices are determined by the capacity of the pipelines. Also, fuzzy r -cuts and fuzzy (r 1 , r 2 , …, r n )-cuts in the generalized fuzzy graphs are defined.

Keywords: Generalized fuzzy graphs, generalized directed fuzzy graphs, fuzzy cuts, capacity

DOI: 10.3233/JIFS-17285

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3405-3412, 2018

Authors: Samanta, Sovan | Sarkar, Biswajit

Article Type: Research Article

Abstract: Graph theory includes two unavoidable graphs, namely Euler graphs and Hamiltonian graphs. In this study, generalized fuzzy Euler graphs (GFEGs) and generalized fuzzy Hamiltonian graphs (GFHGs) are defined to express uncertain system like routes, networks. Here, even degrees of all vertices of graphs do not assure that the graphs are GFEG. Similarly, other properties of crisp Euler graphs and crisp Hamiltonian graphs are tested. Two algorithms are prepared to find Eulerian circuit in GFEGs and Hamiltonian circuit in GFHGs. In modern life, planning of efficient routes is very important for business and industry purposes. An application on planning of routes …is described. Show more

Keywords: Generalized fuzzy graphs, effective edge, Euler graphs, Hamiltonian graphs, and travelling problems

DOI: 10.3233/JIFS-17322

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3413-3419, 2018

Authors: Bashir, Zia | Rashid, Tabasam | Xu, Zeshui

Article Type: Research Article

Abstract: Preference relations are very useful to express decision makers’ preferences over alternatives in the process of group decision-making. The multiple self confidence levels also exist in preference relations due to different knowledge levels, expertise, cultural and educational backgrounds of decision makers. In this study, the hesitant fuzzy preference relation with self confidence and hesitant multiplicative preference relation with self confidence are defined by taking multiple self confidence levels into consideration in the form of a linguistic term set. Latter on, priority weight vectors are derived from linear programming models, and then, to avoid heterogenous hesitant preference relation effects, a collective …priority weight vector is derived by using ordered weighted average operator for group decision making. Finally, some practical case studies are done to illustrate the proposed model, and a comparative analysis is carried out to show how self confidence levels influence the group decision-making results. Show more

Keywords: Hesitant fuzzy set, Hesitant fuzzy preference relation, Hesitant multiplicative preference relation, priority weights, group decision making

DOI: 10.3233/JIFS-17380

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3421-3435, 2018

Authors: Zhang, Haidong | He, Yanping

Article Type: Research Article

Abstract: The dual hesitant fuzzy soft set is a generalized soft set by combining the dual hesitant fuzzy set and the soft set. Rough set theory is a powerful mathematical tool for dealing with uncertainty. Using a rough set theory, this paper develops a rough set approach to dual hesitant fuzzy soft set based on decision making problems. Firstly, by employing a dual hesitant fuzzy compatible relation, a new rough set model, called dual hesitant fuzzy compatible rough set, is first proposed, and some fundamental properties of this model are further examined. Then the concepts of roughness measure and approximate precision …of a crisp set in dual hesitant fuzzy compatible approximation space are introduced and their basic properties are discussed. Furthermore, we present a rough set approach to dual hesitant fuzzy soft set based on decision making. Meanwhile, an example is provided to show the validity of this approach in dual hesitant fuzzy soft set based on decision making problems. Finally, by comparing the novel method with the decision making method based on intuitionistic fuzzy soft sets, we point out some advantages of the novel method. Show more

Keywords: Dual hesitant fuzzy compatible relation, Dual hesitant fuzzy compatible rough set, Dual hesitant fuzzy soft set, Roughness measure, Decision making

DOI: 10.3233/JIFS-17456

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3437-3450, 2018

Authors: Khanum, Rashida Adeeb | Jan, Muhammad Asif | Mashwani, Wali Khan | Tairan, Nasser Mansoor | Khan, Hidayat Ullah | Shah, Habib

Article Type: Research Article

Abstract: Differential evolution (DE) is a versatile and fast evolutionary algorithm (EA) for real world global optimization problems. It has been widely applied to diverse areas as a remarkable search technique. However, because of large step sizes in mutation, DE is known to be incapable of exploiting the existing population than exploring the search region. DE inherent drawback is avoiding the true optima. To heal its poor exploitation, hybridization with local search techniques will be a healthy choice, because local search strategies are proven to be robust in exploitation. In this paper, we hybridize DE variant, JADE with two gradient based …local search (LS) techniques, Steepest Decent Method (SDM) and Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. The new algorithm is known as hybidJADE. The SDM is applied iteratively to locate promising solutions in the evolution, afterwards BFGS is applied to fine tune the elite solutions. If BFGS found solutions are in the neighborhood of current best solution, a restart is incorporated, where JADE and BFGS explore the population. The performance of hybridJADE is tested on 15 benchmarks from literature. The obtained experimental results are compared with the results of two state-of-the-art algorithms, JADE, and jDE. The results show significance performance of hybridJADE in terms of success rate on various benchmarks. The sensitivity analysis of hybridJADE to its various parameters is also presented. Show more

Keywords: Differential evolution, unconstrained optimization, global search, local search, hybridization

DOI: 10.3233/JIFS-17657

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3451-3464, 2018