Triangular type-2 fuzzy goal programming approach for bimatrix games

被引：1
|
作者：
Tayyebi, Javad [1 ]
Hassanpour, Hassan [2 ]
Bigdeli, Hamid [3 ]
Hosseinzadeh, Elham [4 ]
机构：
[1] Birjand Univ Technol, Fac Ind & Comp Engn, Dept Ind Engn, Birjand, Iran
[2] Univ Birjand, Dept Math, Birjand, Iran
[3] Army Command & Staff Univ, Inst Study War, Tehran, Iran
[4] Kosar Univ Bojnord, Dept Math, Bojnord, Iran
来源：
COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2024年
关键词：
bimatrix games; type-2 fuzzy goals; equilibrium points; triangular type-2 fuzzy numbers; SOLVING MATRIX GAMES; EQUILIBRIUM SOLUTIONS; PAYOFFS; STRATEGY; SETS;
D O I：
10.22049/cco.2024.29061.1827
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses a bimatrix game in which the satisfactory degrees of the players are vague. Type-2 fuzzy goal programming technique is used to describe the game. Then, the notion of equilibrium points is introduced and an optimization problem is given to calculate them. Moreover, the special case that the type-2 fuzzy goals are triangular is investigated. Finally, an applicable example is presented to illustrate the results.
引用
收藏
页数：23
相关论文
共 50 条
  • [31] Bilinear Programming Approach to Solve Interval Bimatrix Games in Tourism Planning Management
    Wei Fei
    Deng-Feng Li
    International Journal of Fuzzy Systems, 2016, 18 : 504 - 510
  • [32] A note on article "A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function"
    Yaghoobi, M. A.
    Tamiz, M.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 176 (01) : 636 - 640
  • [33] Fuzzy goal programming approach to multilevel programming problems
    Pramanik, Surapati
    Roy, Tapan Kumar
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 176 (02) : 1151 - 1166
  • [34] An Approach to the Formation of the Type-2 Fuzzy Sets
    Yerukayev, Andrew
    2016 13TH INTERNATIONAL CONFERENCE ON MODERN PROBLEMS OF RADIO ENGINEERING, TELECOMMUNICATIONS AND COMPUTER SCIENCE (TCSET), 2016, : 460 - 462
  • [35] A new approach to type-2 fuzzy sets
    Thiele, H
    LOGIC, ARTIFICIAL INTELLIGENCE AND ROBOTICS, 2001, 7 : 255 - 262
  • [36] Triangular interval type-2 fuzzy soft set and its application
    Lathamaheswari, M.
    Nagarajan, D.
    Kavikumar, J.
    Broumi, Said
    COMPLEX & INTELLIGENT SYSTEMS, 2020, 6 (03) : 531 - 544
  • [37] A novel approach to type-2 fuzzy addition
    Blewitt, William
    Zhou, Shang-Ming
    Coupland, Simon
    2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 1461 - 1466
  • [38] AN INTERVAL-VALUED PROGRAMMING APPROACH TO MATRIX GAMES WITH PAYOFFS OF TRIANGULAR INTUITIONISTIC FUZZY NUMBERS
    Li, D. F.
    Nan, J. X.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2014, 11 (02): : 45 - 57
  • [39] Triangular interval type-2 fuzzy soft set and its application
    M. Lathamaheswari
    D. Nagarajan
    J. Kavikumar
    Said Broumi
    Complex & Intelligent Systems, 2020, 6 : 531 - 544
  • [40] On Type-2 Fuzzy Sets and Type-2 Fuzzy Systems
    Shvedov A.S.
    Journal of Mathematical Sciences, 2021, 259 (3) : 376 - 384
12345