Solving multi-objective bi-matrix games with intuitionistic fuzzy goals through an aspiration level approach
by Zhoushun Zheng; M.G. Brikaa
International Journal of Computing Science and Mathematics (IJCSM), Vol. 16, No. 4, 2022

Abstract: 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.

Online publication date: Wed, 01-Feb-2023

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