Constrained bi-matrix games with intuitionistic fuzzy goals

نویسندگانHassan Hassanpour,Javad Tayyebi
نشریهCaspian journal of Mathematical sciences
شماره صفحات0-0
نوع مقالهFull Paper
نوع نشریهچاپی
کشور محل چاپایران
نمایه نشریهisc
کلید واژه هاbi, matrix game, Constrained bi, Intuitionistic fuzzy set, Intuitionistic fuzzy goal, Nash equilibrium solution

چکیده مقاله

In this paper a constrained bi-matrix game with intuitionistic fuzzy goals is studied. The Nash-equilibrium solution is defined for the problem, and some necessary and sufficient conditions for the existence of equilibrium solution are stated and proved. Then, a mathematical programming model is given, and it is proved that its optimal solution is an equilibrium solution of this bi-matrix game. Finally, two numerical examples are presented to illustrate the proposed model.

لینک ثابت مقاله