Triangular type-2 fuzzy goal programming approach for bimatrix games

Document Type : Original paper

Authors

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

2 Department of Mathematics, University of Birjand; Birjand; Iran

3 Institute for the Study of War, Army Command and Staff University, Tehran, Iran

4 Department of Mathematics; Kosar University of Bojnord, Bojnord; Iran

Abstract

This paper addresses a bimatrix game in which the satisfactory degrees of the players are vague. Type-2 fuzzy goal programming technique is used to describe the game. Then, the notion of equilibrium points is introduced and an optimization problem is given to calculate them. Moreover, the special case that the type-2 fuzzy goals are triangular is investigated. Finally, an applicable example is presented to illustrate the results.

Keywords

Main Subjects

References

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Communications in Combinatorics and Optimization
Volume 10, Issue 4
December 2025
Pages 949-971

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