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
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
  • [21] Centroid of triangular and Gaussian type-2 fuzzy sets
    Starczewski, Janusz T.
    INFORMATION SCIENCES, 2014, 280 : 289 - 306
  • [22] Non-cooperative Games Involving Type-2 Fuzzy Uncertainty: An Approach
    Carlos Figueroa-Garcia, Juan
    Jonathan Medina-Pinzon, Emanuel
    David Rubio-Espinosa, Jannan
    COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT, CISIM 2014, 2014, 8838 : 387 - 396
  • [23] Efficient triangular type-2 fuzzy logic systems
    Starczewski, Janusz T.
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 50 (05) : 799 - 811
  • [24] Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers
    Dalman, Hasan
    Bayram, Mustafa
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (04) : 2434 - 2449
  • [25] Entropy measures of type-2 intuitionistic fuzzy sets and type-2 triangular intuitionistic trapezodial fuzzy sets
    Chen, Zhensong
    Xiong, Shenghua
    Li, Yanlai
    Chin, Kwai-Sang
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2015, 26 (04) : 774 - 793
  • [26] Entropy measures of type-2 intuitionistic fuzzy sets and type-2 triangular intuitionistic trapezodial fuzzy sets
    Zhensong Chen
    Shenghua Xiong
    Yanlai Li
    Kwai-Sang Chin
    JournalofSystemsEngineeringandElectronics, 2015, 26 (04) : 774 - 793
  • [27] Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets
    Hernandez-Varela, Pablo
    Talavera, Francisco Javier
    Cubillo, Susana
    Torres-Blanc, Carmen
    Elorza, Jorge
    AXIOMS, 2025, 14 (01)
  • [28] Interactive approach for fuzzy goal programming
    Meliani, W
    Mellouli, K
    COMPUTATIONAL INTELLIGENCE FOR MODELLING, CONTROL & AUTOMATION - EVOLUTIONARY COMPUTATION & FUZZY LOGIC FOR INTELLIGENT CONTROL, KNOWLEDGE ACQUISITION & INFORMATION RETRIEVAL, 1999, 55 : 294 - 299
  • [29] Fuzzy goal programming - A parametric approach
    Li, Gang
    INFORMATION SCIENCES, 2012, 195 : 287 - 295
  • [30] Bilinear Programming Approach to Solve Interval Bimatrix Games in Tourism Planning Management
    Fei, Wei
    Li, Deng-Feng
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2016, 18 (03) : 504 - 510