Solving matrix games with hesitant fuzzy pay-offs

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Seikh M.R.; Karmakar s.; XIA M.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:4 Page(s): 25-40

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Information Journal Paper

Title

Solving matrix games with hesitant fuzzy pay-offs

Author(s)

Seikh M.R. | Karmakar s. | XIA M. | Issue Writer Certificate

Keywords

Matrix GameQ2

triangular hesitant fuzzy setQ2

score functionQ2

multi-objective optimizationQ2

lexicographic methodQ2

Abstract

The objective of this paper is to develop Matrix Games with pay-off 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.

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APA: Copy

Seikh, M.R., Karmakar, s., & XIA, M.. (2020). Solving matrix games with hesitant fuzzy pay-offs. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(4 ), 25-40. SID. https://sid.ir/paper/381873/en

Vancouver: Copy

Seikh M.R., Karmakar s., XIA M.. Solving matrix games with hesitant fuzzy pay-offs. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(4 ):25-40. Available from: https://sid.ir/paper/381873/en

IEEE: Copy

M.R. Seikh, s. Karmakar, and M. XIA, “Solving matrix games with hesitant fuzzy pay-offs,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 4 , pp. 25–40, 2020, [Online]. Available: https://sid.ir/paper/381873/en

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