Solving matrix games with hesitant fuzzy pay-offs

被引：0
作者：
Seikh, M. R. [1 ]
Karmakar, S. [1 ]
Xia, M. [2 ]
机构：
[1] Kazi Nazrul Univ, Dept Math, Asansol 713340, W Bengal, India
[2] Beijing Univ, Sch Econ & Management, Beijing, Peoples R China
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2020年 / 17卷 / 04期
关键词：
Matrix Game; triangular hesitant fuzzy set; score function; multi-objective optimization; lexicographic method; PROGRAMMING APPROACH; INFORMATION AGGREGATION; PAYOFFS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to develop matrix games with pay-offs of triangular hesitant fuzzy elements (THFEs). To solve such games, a new methodology has been derived based on the notion of weighted average operator and score function of THFEs. Firstly, we formulate two non-linear programming problems with THFEs. Then applying the score function of THFEs, we transform these two problems into two non-linear multi-objective programming problems with triangular fuzzy numbers (TFNs). Finally, the Lexicographic method is used to solve these two multi-objective programming problems. A market share problem is considered to show the validity and applicability of the proposed methodology.
引用
收藏
页码：25 / 40
页数：16
相关论文
共 50 条
  • [31] Fuzzy Bi-matrix Games Based on Fuzzy Structured Element
    Li, Cunlin
    Lei, Ting
    2017 13TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (ICNC-FSKD), 2017, : 1107 - 1111
  • [32] Matrix games with linguistic intuitionistic fuzzy Payoffs : Basic results and solution methods
    Verma, Rajkumar
    Aggarwal, Abha
    ARTIFICIAL INTELLIGENCE REVIEW, 2021, 54 (07) : 5127 - 5162
  • [33] A Note on “A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers”
    Tina Verma
    Amit Kumar
    International Journal of Computational Intelligence Systems, 2015, 8 : 690 - 700
  • [34] A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem
    Seikh, M. R.
    Karmakar, S.
    Castillo, O.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (05): : 155 - 172
  • [35] A Note on "A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers"
    Verma, Tina
    Kumar, Amit
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2015, 8 (04) : 690 - 700
  • [36] PN equilibrium strategy for matrix games with fuzzy payoffs
    Xu, Chao
    Meng, Fanyong
    Zhang, Qiang
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2195 - 2206
  • [37] Methods for solving matrix games with cross-evaluated payoffs
    Xia, Meimei
    SOFT COMPUTING, 2019, 23 (21) : 11123 - 11140
  • [38] Solutions of matrix games involving linguistic interval-valued intuitionistic fuzzy sets
    Naqvi, Deeba R.
    Verma, Rajkumar
    Aggarwal, Abha
    Sachdev, Geeta
    SOFT COMPUTING, 2023, 27 (02) : 783 - 808
  • [39] A Novel Approach for Solving Triangular and Trapezoidal Intuitionistic Fuzzy Games Using Dominance Property and Oddment Method
    Robinson, M. Joseph
    Sheela, S.
    Rani, A. Sudha
    COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS, ICC3 2015, 2016, 412 : 575 - 583
  • [40] Linear programming approach to matrix games with intuitionistic fuzzy goals
    Nan, Jiang-Xia
    Li, Deng-Feng
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2013, 6 (01) : 186 - 197
12345