For the problem of major solution methods for matrix games with fuzzy payoffs, an effective methodology is developed to solve matrix games with payoffs expressed by trapezoidal fuzzy numbers. In this methodology, the concept of ??-matrix games is introduced and players’ fuzzy values are always identical. The upper and lower bounds of any ??-cut of the fuzzy value and players’ optimal strategies are easily obtained through solving the derived four linear programming problems with the upper and lower bounds of ??-cuts of the fuzzy payoffs. Particularly, the fuzzy value can be explicitly estimated. Compared with other methods, the effectiveness and feasibility of the proposed method are illurstrated.