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International Journal of Fuzzy Mathematical Archive
Year : 2017, Volume : 14, Issue : 2
First page : ( 213) Last page : ( 220)
Print ISSN : 2320-3242. Online ISSN : 2320-3250.
Article DOI : 10.22457/ijfma.v14n2a5

Multicriteria Decision Making for Fuzzy Set Based on Strategic Games

Vidhya G.1, Uma K.2

1Kunthavai Nacchiyar Govt. Arts College (W), Thanjavur, Tamilnadu, India

2Poompuhar College, Nagapattinam, Tamilnadu, India

AMS Mathematics Subject Classification (2010): 91A05

Online published on 7 February, 2019.

Abstract

A game is a decision-making situation with many players, each having objectives that conflict with each other. The players involved in the game usually make their decisions under conditions of risk or uncertainty. In this paper, a fuzzy approach is proposed to solve the strategic game problem in which the pure strategy set for each player is already defined. Based on the concepts of fuzzy set theory, this approach will use a multicriteria decision-making method to obtain the optimal strategy in the game, a method which shows more advantages than the classical game methods. Moreover, with this approach, some useful conclusions are reached concerning the famous ªprisoner's dilemmaº problem in game theory.

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Keywords

Fuzzy set, game, membership function, prisoner's dilemma, strategic form.

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