Solving matrix games with hesitant fuzzy pay-offs

	Solving matrix games with hesitant fuzzy pay-offs
Iranian Journal of Fuzzy Systems
دوره 17، شماره 4، مهر و آبان 2020، صفحه 25-40 اصل مقاله (573.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5404
نویسندگان
M. R. Seikh^* ¹؛ S. Karmakar¹؛ M. Xia²
¹Department of Mathematics, Kazi Nazrul University, Asansol-713 340, India
²School of Economics and Management, Beijing University, Beijing, China
چکیده
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.
کلیدواژه‌ها
Matrix Game؛ triangular hesitant fuzzy set؛ score function؛ multi-objective optimization؛ lexicographic method

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