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Ambika Methods for Solving Matrix Games With Atanassov's Intuitionistic Fuzzy Payoffs

2017; Institute of Electrical and Electronics Engineers; Volume: 26; Issue: 1 Linguagem: Inglês

10.1109/tfuzz.2017.2651103

1941-0034

Tina Verma, Amit Kumar,

Optimization and Mathematical Programming

In the last few years, a lot of researchers have proposed different methods, to solve the mathematical programming problem of matrix games with Atanassov's intuitionistic fuzzy payoffs. In this paper, the flaws of the existing methods for solving matrix games with Atanassov's intuitionistic fuzzy payoffs (matrix games in which payoffs are represented by Atanassov's intuitionistic fuzzy numbers) are pointed out. Also, to resolve these flaws, new methods (named as Ambika methods) are proposed to obtain the optimal strategies as well as minimum expected gain of Player I and maximum expected loss of Player II for matrix games with Atanassov's intuitionistic fuzzy payoffs. To illustrate proposed Ambika methods, some existing numerical problems of matrix games with Atanassov's intuitionistic fuzzy payoffs are solved by proposed Ambika methods.