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
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