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Shapley Value for Cooperative Games with Fuzzy Coalition

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【Author】 YU Xiao-hui, ZHANG Qiang(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China)

【机构】 School of Management and Economics Beijing Institute of Technology； School of Management and Economics； Beijing Institute of Technology； Beijing 100081； China；

【摘要】 Fuzzy Shapley values are developed based on conventional Shapley value.This kind of fuzzy cooperative games admit the representation of rates of players’ participation to each coalition.And they can be applicable to both supperadditive and subadditvie cooperative games while other kinds of fuzzy cooperative games can only be superadditive.An explicit form of the Shapley function on fuzzy games with λ-fuzzy measure was also proposed.更多还原

【Abstract】 Fuzzy Shapley values are developed based on conventional Shapley value.This kind of fuzzy cooperative games admit the representation of rates of players’ participation to each coalition.And they can be applicable to both supperadditive and subadditvie cooperative games while other kinds of fuzzy cooperative games can only be superadditive.An explicit form of the Shapley function on fuzzy games with λ-fuzzy measure was also proposed.更多还原

【关键词】 cooperative game； fuzzy cooperative game； Shapley value； λ-fuzzy measure； Choquet integral；
【Key words】 cooperative game； fuzzy cooperative game； Shapley value； λ-fuzzy measure； Choquet integral；

【基金】 the National Natural Science Foundation of China(70771010);the Second Phase of“985 Project”of China (107008200400024);the Graduate Student s Science and Technology Innovation Project of Beijing Institute of Technology (GB200818)

【文献出处】 Journal of Beijing Institute of Technology ,北京理工大学学报(英文版) , 编辑部邮箱 ,2008年02期

【分类号】O159;O225
【被引频次】8
【下载频次】101

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