Solving matrix games with hesitant fuzzy pay-offs
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 4
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-4_004
تاریخ نمایه سازی: 30 خرداد 1400
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:
Matrix game , Triangular hesitant fuzzy set , Score function , Multi-objective optimization , Lexicographic method
Authors
M. R. Seikh
Department of Mathematics, Kazi Nazrul University, Asansol-۷۱۳ ۳۴۰, India
S. Karmakar
Department of Mathematics, Kazi Nazrul University, Asansol-۷۱۳ ۳۴۰, India
M. Xia
School of Economics and Management, Beijing University, Beijing, China