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博弈联盟模糊收益的分配
引用本文:逄金辉,张强. 博弈联盟模糊收益的分配[J]. 数学的实践与认识, 2008, 38(17)
作者姓名:逄金辉  张强
作者单位:北京理工大学,信息资源管理研究所,北京,100081
摘    要:提出了联盟模糊收益合理分配的一种新方法.首先,在模糊收益α截集上定义了α合理分配集,分析了该分配集与模糊收益Shapley值的关系.接着,给出了模糊收益的α合理Shapley分配函数,对其性质进行了讨论.然后,构造了模糊合理Shapley分配,证明其连续性,得到了联盟模糊收益与模糊合理Shapley分配具有包含关系的结论.

关 键 词:模糊博弈  模糊收益  α合理分配  模糊合理Shapley分配

Allocation for Fuzzy Payoffs of Game Coalition
PANG Jin-hui,ZHANG Qiang. Allocation for Fuzzy Payoffs of Game Coalition[J]. Mathematics in Practice and Theory, 2008, 38(17)
Authors:PANG Jin-hui  ZHANG Qiang
Abstract:A new method of reasonable allocation for fuzzy payoffs from a game coalition is proposed.Firstly,the α-reasonable allocation set is defined on the α-cut of fuzzy payoffs.Secondly,the relations between the α-reasonable allocation set and the Shapley value of fuzzy payoffs are discussed.The function of α-reasonable Shapley allocation is constructed and its properties are also analyzed.Finally,the fuzzy reasonable Shapley allocation is given,which continuity is proved in this paper.The paper shows the conclusion that the fuzzy payoffs cover the fuzzy reasonable Shapley allocation.
Keywords:fuzzy games  fuzzy payoffs  α-reasonable allocation  fuzzy reasonable Shapley allocation
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