A method based on two person zero sum game is proposed to deal with the single strategy and unclear expected payoff in grey MADM, considering that the characteristic to maximize the benefits of the decision maker is similar to the characteristic of game theory in solving the optimal mixed strategy. First the method uses the language information decision to construct the original evaluation information, then the FIFWAA is used to get the quantitative gray evaluation matrix. By solving the grey linear programming, the optimal blending strategy of the decision maker and the expected return of each scheme are obtained. Through the probability matrix, the sorting vector is formed and the scheme is sorted. Finally, the feasibility of the method is illustrated by an exam ple. And other methods are used to conduct contrast and analysis.