Games with fuzzy payment matrix

Vladimir G. Chernov

Vladimir State University named after Alexander Grigorievich and Nikolai Grigorievich Stoletovs (VlSU), Department of Computer Engeneering and Control Systems, Gorky str. 87, Vladimir, 600000, Russia

Abstract: We consider a method for solving an antagonistic game with a fuzzy payment matrix based on converting fuzzy estimates of the consequences of possible strategies into an integral estimate in the form of an equivalent fuzzy set with a triangular membership function. The method does not impose restrictions on the type of membership functions for fuzzy elements of the payment.

Keywords: fuzzy set, fuzzy number, membership function, fuzzy payment matrix.

Language: English