Solving matrix games with hesitant fuzzy pay-offs

Document Type : Research Paper

Authors

1 Department of Mathematics, Kazi Nazrul University, Asansol-713 340, India

2 School of Economics and Management, Beijing University, Beijing, China

Abstract

The objective of this paper is to develop matrix games with pay-offs of triangular hesitant fuzzy elements (THFEs). To solve such games, a new methodology has been derived based on the notion of weighted average operator and score function of THFEs. Firstly, we formulate two non-linear programming problems with THFEs. Then applying the score function of THFEs, we transform these two problems into two non-linear multi-objective programming problems with triangular fuzzy numbers (TFNs). Finally, the Lexicographic method is used to solve these two multi-objective programming problems. A market share problem is considered to show the validity and applicability of the proposed methodology.

Keywords

Iranian Journal of Fuzzy Systems
Volume 17, Issue 4
July and August 2020
Pages 25-40

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