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具有模糊权限结构和模糊支付的合作对策
Games with Fuzzy Permission Structures and Fuzzy Payoffs
【摘要】 具有权限结构的合作对策可刻画合作者之间具有等级限制的情形,而具有模糊权限结构的合作对策是对经典情形的拓广.进一步考虑具有模糊权限结构和模糊支付的合作对策,利用联盟的自主度算子和模糊Choquet积分,定义了这种合作对策的限制对策.在此基础上给出了两种模糊权限值,分别证明了这两种值满足的一些性质.最后利用一个算例说明这两种值在企业协作生产收益分配中的应用.
【Abstract】 Games with permission structures can characterize the situations in which there are hierarchical restrictions among the players.Games with fuzzy permission structures extend the classic cases.In this paper,games with fuzzy permission structures and fuzzy payoffs are further discussed.The restricted games are defined by utilizing the autonomous operator and the fuzzy Choquet integral.Based on this,two fuzzy permission values are defined and some properties are given.Lastly,an application example is provided for revenue allocation in joint production problem.
【Key words】 cooperative games; fuzzy permission structures; fuzzy payoffs; Shapley value;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2016年19期
- 【分类号】F275;F273.7
- 【下载频次】70