模糊联盟图合作对策τ值  

τ-values for fuzzy graph cooperative games

作　　者：杨靛青[1] 李登峰[1] 俞裕兰[2] 

机构地区：[1]福州大学经济与管理学院,福州350108 [2]福建对外经济贸易职业技术学院,福州350002

出　　处：《控制与决策》2017年第9期1653-1658,共6页Control and Decision

基　　金：国家自然科学基金项目(71231003;71171055);福建省中青年教师教育科研项目(JA13392S);福建省社会科学规划项目(2012C022;FJ2015C141;FJ2015B185);福州大学社科科研扶持基金项目(15SKF13;XRC201620)

摘　　要：针对模糊环境下有限制的联盟合作情况,利用Choquet积分定义了模糊联盟图合作对策τ值,证明了其存在性和其他重要性质,讨论了其与模糊核心的关系,并给出凸模糊联盟图合作对策τ值的计算公式.最后通过一个算例表明了该τ值的有效性和合理性.研究发现,该τ值是传统τ值的拓展.Considering fuzzy restricted coalitions appearing in the practical cooperation, the τ-value for the fuzzy graph cooperative games with the Choquet integral is defined, and its existence and some important properties are proved. The relation between the w-value and the fuzzy core is discussed. The computational formula ofτr-value for the convex fuzzy graph cooperative games is given. Finally,the effectiveness and rationality of the τ-value is illustrated by a numerical example. The research result shows that the τ-value is an extension of that for crisp cooperative game.

关 键 词：模糊联盟图 合作对策 τ值 CHOQUET积分 

分 类 号：O225[理学—运筹学与控制论]