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Profit Allocation Scheme Among Players in Supply-Chain Based on Shapley Value of Fuzzy Bi-cooperative Games 被引量:2
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作者 于晓辉 张强 《Journal of Beijing Institute of Technology》 EI CAS 2009年第1期106-111,共6页
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... 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. 展开更多
关键词 fuzzy cooperative game BI-CAPACITY Shapley value Choquet integral supply-chain
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Shapley Value for Cooperative Games with Fuzzy Coalition 被引量:1
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作者 于晓辉 张强 《Journal of Beijing Institute of Technology》 EI CAS 2008年第2期249-252,共4页
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 t... 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. 展开更多
关键词 cooperative game fuzzy cooperative game Shapley value λ-fuzzy measure Choquet integral
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Profit Allocation Scheme among Partners in Virtual Enterprises Based on Fuzzy Shapley Values 被引量:2
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作者 陈雯 张强 王明哲 《Journal of Beijing Institute of Technology》 EI CAS 2007年第1期122-126,共5页
Fuzzy Shapley values are developed based on classical Shapley values and used to allocate profit among partners in virtual enterprises (VE). Axioms of the classical Shapley value are extended to Shapley values with ... Fuzzy Shapley values are developed based on classical Shapley values and used to allocate profit among partners in virtual enterprises (VE). Axioms of the classical Shapley value are extended to Shapley values with fuzzy payoffs by using fuzzy sets theory. Fuzzy Shapley function is defined based on these extended axioms. From the viewpoint the allocation for each partner should be a crisp value rather a fuzzy membership function at the end of cooperation, a crisp allocation scheme based on fuzzy Shapley values is proposed. 展开更多
关键词 virtual enterprises fuzzy cooperative games fuzzy Shapley values representation principle
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The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure 被引量:4
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作者 Fan-Yong Meng 1 Qiang Zhang 2 1 School of Management,Qingdao Technological University,Qingdao 266520,China 2 School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China 《International Journal of Automation and computing》 EI 2012年第6期600-608,共9页
In this paper,a generalized form of the symmetric Banzhaf value for cooperative fuzzy games with a coalition structure is proposed.Three axiomatic systems of the symmetric Banzhaf value are given by extending crisp ca... In this paper,a generalized form of the symmetric Banzhaf value for cooperative fuzzy games with a coalition structure is proposed.Three axiomatic systems of the symmetric Banzhaf value are given by extending crisp case.Furthermore,we study the symmetric Banzhaf values for two special kinds of fuzzy games,which are called fuzzy games with multilinear extension form and a coalition structure,and fuzzy games with Choquet integral form and a coalition structure,respectively. 展开更多
关键词 cooperative fuzzy game coalition structure symmetric Banzhaf value multilinear extension Choquet integral.
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