A novel defuzzification approach of type-۲ fuzzy variable to solving matrix games: An application to plastic ban problem

The novelty of the type-۲ fuzzy variable (T۲FV) is its fuzzy secondary possibility distribution. Here, we aim to formulate a new defuzzification model of triangular type-۲ fuzzy variables (TT۲FVs) based on type reduction. We also show its superiority compared to other existing models by providing some numerical examples. Later, we develop a matrix game problem in the type-۲ fuzzy environment to show the applicability of the proposed defuzzification method in a real-world situation. Based on this defuzzification method, two crisp linear programming models are derived, which are subsequently solved by the simplex method using LINGO ۱۷.۰ software. Also, the expected pay-off for the maximizing player is calculated as TT۲FV, which is desirable. Finally, to show the validity and applicability, the proposed methodology is illustrated with the plastic ban problem.

کلیدواژه ها:

Matrix game ، triangular type-۲ fuzzy variable ، type reduction ، Ranking function ، plastic ban problem