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

Authors: Zhoushun Zheng; M.G. Brikaa

Addresses: School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, China ' Faculty of Computers & Informatics, Suez Canal University, Ismailia 41522, Egypt

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.

Keywords: non-linear programming; intuitionistic fuzzy set; multi-objective bi-matrix games; game theory; intuitionistic fuzzy goals; aspiration level approach.

DOI: 10.1504/IJCSM.2022.128650

International Journal of Computing Science and Mathematics, 2022 Vol.16 No.4, pp.307 - 326

Received: 29 Jul 2020
Accepted: 09 Sep 2020
Published online: 01 Feb 2023 *

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