Solving Triangular Intuitionistic Fuzzy Matrix Game by Applying the Accuracy Function Method

Abstract

In this paper, the matrix game based on triangular intuitionistic fuzzy payoff is put forward. Then, we get a conclusion that the equilibrium solution of this game model is equivalent to the solution of a pair of the primal−dual single objective intuitionistic fuzzy linear optimization problems ( I F L O P 1 ) and ( I F L O D 1 ) . Furthermore, by applying the accuracy function, which is linear, we transform the primal−dual single objective intuitionistic fuzzy linear optimization problems ( I F L O P 1 ) and ( I F L O D 1 ) into the primal−dual discrete linear optimization problems ( G L O P 1 ) and ( G L O D 1 ) . The above primal−dual pair ( G L O P 1 ) − ( G L O D 1 ) is symmetric in the sense the dual of ( G L O D 1 ) is ( G L O P 1 ) . Thus the primal−dual discrete linear optimization problems ( G L O P 1 ) and ( G L O D 1 ) are called the symmetric primal−dual discrete linear optimization problems. Finally, the technique is illustrated by an example.

Keywords

• intuitionistic fuzzy matrix game
• equilibrium solution
• intuitionistic fuzzy linear optimization problem
• accuracy function