BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

被引：0
|
作者：
Nayak, P. K. [1 ]
Pal, M. [2 ]
机构：
[1] Bankura Christian Coll, Dept Math, Kolkata 722101, W Bengal, India
[2] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2010年 / 7卷 / 01期
关键词：
Bi-matrix game; Nash equilibrium; Intuitionistic fuzzy sets; Fuzzy optimization; Intuitionistic fuzzy optimization;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an application of intuitionistic fuzzy programming to a two person bi-matrix game (pair of payoffs matrices) for the solution with mixed strategies using linear membership and non-membership functions. We also introduce the intuitionistic fuzzy(IF) goal for a choice of a strategy in a payoff matrix in order to incorporate ambiguity of human judgements; a player wants to maximize his/her degree of attainment of the IF goal. It is shown that this solution is the optimal solution of a mathematical programming problem. Finally, we present a numerical example to illustrate the methodology.
引用
收藏
页码：65 / 79
页数：15
相关论文
共 50 条
  • [1] Solving bi-matrix games with intuitionistic fuzzy goals and intuitionistic fuzzy payoffs
    Nan, Jiang-Xia
    Li, Deng-Feng
    An, Jing-Jing
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (06) : 3723 - 3732
  • [2] Bi-matrix games with fuzzy goals and fuzzy pay-offs
    Vidyottama V.
    Chandra S.
    Bector C.R.
    [J]. Fuzzy Optimization and Decision Making, 2004, 3 (4) : 327 - 344
  • [3] Solving multi-objective bi-matrix games with intuitionistic fuzzy goals through an aspiration level approach
    Zheng, Zhoushun
    Brikaa, M. G.
    [J]. INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2022, 16 (04) : 307 - 326
  • [4] A Linear Programming Approach to Solve Constrained Bi-matrix Games with Intuitionistic Fuzzy Payoffs
    Jing-Jing An
    Deng-Feng Li
    [J]. International Journal of Fuzzy Systems, 2019, 21 : 908 - 915
  • [5] A new approach to solve intuitionistic fuzzy bi-matrix games involving multiple opinions
    Singla, N.
    Kaur, P.
    Gupta, U. C.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (01): : 185 - 197
  • [6] A Linear Programming Approach to Solve Constrained Bi-matrix Games with Intuitionistic Fuzzy Payoffs
    An, Jing-Jing
    Li, Deng-Feng
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2019, 21 (03) : 908 - 915
  • [7] Bi-Matrix Games with General Intuitionistic Fuzzy Payoffs and Application in Corporate Environmental Behavior
    Li, Shuying
    Tu, Guoping
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [8] Solving Bi-matrix Games with Pay-offs of Triangular Intuitionistic Fuzzy Numbers
    Seikh, Mijanur Rahaman
    Nayak, Prasun Kumar
    Pal, Madhumangal
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 8 (02): : 153 - 171
  • [9] Fuzzy Bi-matrix Games Based on Fuzzy Structured Element
    Li, Cunlin
    Lei, Ting
    [J]. 2017 13TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (ICNC-FSKD), 2017, : 1107 - 1111
  • [10] Nash Equilibrium in Fuzzy Random Bi-Matrix Games
    Achemine, Farida
    Larbani, Moussa
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2023, 31 (06) : 1005 - 1031
12345