Solving multi-objective bi-matrix games with intuitionistic fuzzy goals through an aspiration level approach

被引:1
|
作者
Zheng, Zhoushun [1 ]
Brikaa, M. G. [2 ]
机构
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[2] Suez Canal Univ, Fac Comp & Informat, Ismailia 41522, Egypt
关键词
non-linear programming; intuitionistic fuzzy set; multi-objective bi-matrix games; game theory; intuitionistic fuzzy goals; aspiration level approach; PROGRAMMING APPROACH; PAYOFFS; SETS;
D O I
10.1504/IJCSM.2022.128650
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The main aim of this paper is to develop an approach to solving multi-objective bi-matrix games with intuitionistic fuzzy (IF) goals, which are called IF multi-objective bi-matrix games for short. In this paper, the solution approach for such a game is presented by introducing an aspiration level approach, and IF non-linear programming problem is constructed to find the optimal solution for such types of multi-objective bi-matrix games. Furthermore, it is shown that this multi-objective bi-matrix game with IF goals is an extension of the multi-objective bi-matrix game with fuzzy goals. Finally, a numerical example is incorporated to demonstrate the implementation and applicability process of the proposed approach.
引用
收藏
页码:307 / 326
页数:21
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