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.
出处
《控制与决策》
EI
CSCD
北大核心
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)
