STUDY ON OPTIMALITY CONDITIONS FOR FUZZY DIFFERENTIAL GAMES

Abstract

. The notion. of the game is the decision under uncertainty involving two or more intelligent opponents, in which each opponent aspires to optimize his own decision at the expense of the other opponents .An opponent is referred to as a player.

Theory of the games was born by VonNeumann;s in (1928) and in (1944) Von Neumann and Morgenstern introduce the concept of the conttol for each player in the game arid how the player seeks his conttol to minimize his own scalar cost criterion subject to specified• constrains.•

In (1981) Thomas ang Walter [34] presented formulation and solution of different types of continuous static games and differential games, and Basar and Olsder in (1982) [3] introduced the dynamic game theory as offspring of the game theory and optimal conttol.