• Kothainayagi.K
• Yamini Latha.D.C

We define fuzzy number. The sum and product of two fuzzy numbers and the scalar multiplication of a fuzzy number are discussed. We consider fuzzy number valued functions and discuss their measurability, integrability and so on. We discuss a two-person zero-sum game with fuzzy payoff value and sets of strategies of each player finite. We prove the necessary and sufficient conditions for the existence of an equilibrium point for a two-person zero-sum fuzzy game. The game value is obtained as a fuzzy number. We consider a two-person zero-sum game, with the sets of strategies of the players are infinite. We study in detail about the rectangular game with a continuous fuzzy payoff function. We consider convex games and obtain the value of the convex game. We considered fuzziness of the payoff function with other aspects retained as crisp. We discuss another sort of fuzziness that is relevant—namely coalition behaviour players becoming fuzzy rather than crisp. We treat an n-person co-operative game with fuzzy coalition.

Fuzzy number, two-person zero-sum game, payoff values, fuzzy rectangular game, saddle point, mixed strategies, probability measure, spectrum of the strategies, semi-norm, continuous payoff function, convex payoff function, co-operative fuzzy game.

"Fuzziness in Operation Research and Game Theory", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.946-950, June 2019, Available :http://www.jetir.org/papers/JETIR1906J76.pdf

"Fuzziness in Operation Research and Game Theory", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp946-950, June 2019, Available at : http://www.jetir.org/papers/JETIR1906J76.pdf