模糊联盟合作对策τ值  

τ-VALUE FOR FUZZY COOPERATIVE GAMES

作　　者：杨靛青[1] 李登峰[1] 

机构地区：[1]福州大学经济与管理学院,福州350108

出　　处：《系统科学与数学》2016年第8期1203-1213,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(71231003;71171055);高等学校博士学科点专项科研基金(20113514110009);国家教育部新世纪优秀人才支持计划(NCET-10-0020);福建省社会科学规划项目(2012C022;2015C141);福州大学社科科研扶持基金资助项目(15SKF13)资助课题

摘　　要：定义了模糊联盟合作对策的τ值,讨论了其有效性、个体合理性、对称性、哑元性等性质.利用整体有效性、策略等价下的共变性和限制成比例性证明了模糊联盟合作对策的τ值存在唯一性,讨论了其和模糊核心的关系.针对模糊联盟凸合作对策,推导出这类对策τ值的一般简化公式,并给出基于Choquet积分的模糊联盟凸合作对策τ值.研究结果发现,模糊联盟合作对策τ值具有分配合理性和公平性,而且是对清晰合作对策τ值的扩展.In this paper, we define the τ-value for fuzzy cooperative games, and discuss their properties about efficiency, individual rationality, symmetry, dummy etc. Then axiomatic characterizations are found for the τ-value using efficiency, covariant under strategic equivalence and restricted proportionality propety. The relationships between the τ-value and the fuzzy core are discussed. Finally, we deduce the general simplified formula of τ-value for the fuzzy convex cooperative games, and give τ-value for the fuzzy cooperative games with Choquet integral. The result of research shows that τ-value for fuzzy cooperative games is characterized by the distribution principles of rationality and equality, and it is also the extension of τ-value for cooperative games.

关 键 词：模糊联盟合作对策 τ值 模糊核心 CHOQUET积分 

分 类 号：O225[理学—运筹学与控制论]