The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure 被引量：4

The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure

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摘要 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. 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.

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

出处《International Journal of Automation and computing》 EI 2012年第6期600-608,共9页 国际自动化与计算杂志（英文版）

基金 supported by Natural Science Foundation Youth Project of China (No. 71201089) National Natural Science Foundation of China (Nos. 71071018 and 71271217) Natural Science Foundation Youth Project of Shandong Province,China(No. ZR2012GQ005)

关键词 Cooperative fuzzy game coalition structure symmetric Banzhaf value multilinear extension Choquet integral. Cooperative fuzzy game,coalition structure,symmetric Banzhaf value,multilinear extension,Choquet integral.

分类号 O159 [理学—基础数学]

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参考文献17

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