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According to the features of fuzzy information, we put forward the concept of level effect function L(λ), established a very practical and workable measurement method IL - which can quantify the location of fuzzy number intensively and globally, and set up the level of uncertainty for measurement IL - under the level effect function L(λ). Thus we can improve the fuzzy bimatrix game. For this problem, after establishing the model involving fuzzy variable and fuzzy coefficient for each player, we introduced the theory of modern biological gene into equilibrium solution calculation of game, then designed the genetic algorithm model for solving Nash equilibrium solution of fuzzy bimatrix game and proved the validity of the algorithm by the examples of bimatrix game. It will lay a theoretical foundation for uncertain game under some consciousness and have strong maneuverability. [ABSTRACT FROM AUTHOR]