关键词: 模糊博弈, 联盟, 模糊解, 利益分配

Abstract: To solve the defect that the cooperative alliance had not optimal benefit allocation scheme in classical game,the fuzzy average monotonic game model was constructed with participation degree.Through the solution of game model,the optimal benefit allocation problem was solved,and the equivalence of fuzzy core and fuzzy bargaining set assignment model under fuzzy average monotonic game was proved.Thus the existence of optimal benefit allocation scheme of cooperative alliance was indicated,which could be used to solve the optimal benefit allocation scheme of cooperative alliance with any calculation model.Fuzzy simplified game model was constructed,the best alliance partner could be determined by calculating the maximum difference of characteristic function of fuzzy reduced game,and the relationship between the fuzzy simplified game and the fuzzy average monotone game was proved.A numerical example was given to verify the feasibility of the model.The results enriched the research and application of fuzzy cooperative game solution,and provided a new theoretical basis for the cooperative behavior of the alliance members.

Key words: fuzzy game, alliance, fuzzy solution, benefit allocation