Profit Allocation Scheme Among Players in Supply-Chain Based on Shapley Value of Fuzzy Bi-cooperative Games

作     者：于晓辉 张强 

作者机构：School of Management and Economics Beijing Institute of Technology 

出 版 物：《Journal of Beijing Institute of Technology》 (北京理工大学学报（英文版）)

年 卷 期：2009年第18卷第1期

页      面：106-111页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Sponsored by 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) 

主　　题：fuzzy cooperative game bi-capacity Shapley value Choquet integral supply-chain 

摘      要：The Shapley value of fuzzy bi-eooperative game is developed based on the conventional Shapley value of bi-cooperative game. From the viewpoint that the players can participate in the coalitions to a certain extent and there are at least two independent cooperative projects for every player to choose, Shapley value which is introduced by Grabisch is extended to the case of fuzzy bi-cooperative game by Choquet integral. Moreover, the explicit fuzzy Shapley value is given. The explicit fuzzy Shapley function can be used to allocate the profits among players in supply-chain under the competitive and uncertain environment.