Constrained bi-matrix games with intuitionistic fuzzy goals

Mirazizi, Narges; Hassanpour, Hassan; Tayyebi, Javad

doi:10.22080/cjms.2025.28478.1741

Constrained bi-matrix games with intuitionistic fuzzy goals

Articles in Press

Document Type : Research Articles

Authors

¹ Department of Mathematics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran

² Department of Industrial Engineering‎, ‎Faculty of Computer and Industrial Engineering‎, ‎Birjand University of Technology‎, ‎Birjand‎, ‎Iran.

10.22080/cjms.2025.28478.1741

Abstract

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 our proposed model.

Keywords