Abstract: The notion of fuzzy individual-optimal equilibrium, where every player is considering the interests of fuzzy set of other players, was defined. The notion of a union of fuzzy set of clear relations is put in for this purpose. Structural formulas for the construction of a function of belonging of this relation are developed. The Connection of fuzzy equilibrium with the set of individual-optimal equilibriums was researched and the existence of maximizing fuzzy equilibrium was defined.

Keywords: fuzzy set, fuzzy goal, fuzzy game, membership function, fuzzy set of type 2, decision making.

ACM Classification Keywords: I. Computing Methodologies – I.6. Simulation and modeling (Time series analysis) – I.6.8 Types of Simulation – Gaming.

Link:

INDIVIDUAL-OPTIMUM EQUILIBRIUMS IN GAMES WITH FUSSY PURPOSES OF PLAYERS

Sergiy Mashchenko

http://www.foibg.com/ijita/vol19/ijita19-2-p03.pdf