Solving (2 × n) Fuzzy Matrix Games

Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 41)

Abstract

In this article, ($$2 \times n$$) fuzzy matrix game is introduced, and its solution procedure has been suggested. Here, payoffs elements are supposed to be fuzzy-valued numbers, and these numbers are represented by triangular fuzzy numbers (TFNs). The solution methodology is employed by the process of defuzzification of fuzzy payoffs and usage of graphical method. Here, a new defuzzification technique based on beta distribution has been used for defuzzification of fuzzy payoffs. Finally, numerical examples are given for illustration purpose.

Keywords

Fuzzy matrix game Payoffs Fuzzy number Beta distribution Defuzzification

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