一类重复模糊n人合作对策的Shapley值  

The Shapley value of a repeated fuzzy n-person cooperative game

作　　者：张娟[1] 高作峰[1] 程婕妤[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《黑龙江大学自然科学学报》2010年第2期167-170,共4页Journal of Natural Science of Heilongjiang University

基　　金：河北省自然科学基金资助项目(A2005000301)

摘　　要：以模糊结盟为工具,建立了重复模糊合作对策理论,把带加权函数的模糊n人合作对策的Shapley值推广到重复模糊n人合作对策中,并提出了模糊支柱序列的定义以及Shapley值在重复模糊合作对策下应满足的三条公理的概念,进而给出重复模糊n人合作对策下的Shapley值的计算公式及证明,最后给出一个例子予以应用。The concept of repeated fuzzy cooperative games with fuzzy coalition is introduced, the Shapley value in a fuzzy n-person cooperative games with weighted function is extended into repeated fuzzy n-person cooperative games, a fuzzy carrier sequence and the three axioms which the Shapley value should satisfy in repeated fuzzy cooperative games are proposed, then the explicit formula and the proof of Shapley value in repeated fuzzy cooperative game are provided, at last an example is given.

关 键 词：加权函数 模糊联盟 模糊支柱序列 SHAPLEY值 

分 类 号：O225[理学—运筹学与控制论]