黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2010年
2期
167-170
,共4页
加权函数%模糊联盟%模糊支柱序列%Shapley值
加權函數%模糊聯盟%模糊支柱序列%Shapley值
가권함수%모호련맹%모호지주서렬%Shapley치
weighted function%fuzzy coalition%fuzzy carrier sequence%Shapley value
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.
以模糊結盟為工具,建立瞭重複模糊閤作對策理論,把帶加權函數的模糊n人閤作對策的Shapley值推廣到重複模糊n人閤作對策中,併提齣瞭模糊支柱序列的定義以及Shapley值在重複模糊閤作對策下應滿足的三條公理的概唸,進而給齣重複模糊n人閤作對策下的Shapley值的計算公式及證明,最後給齣一箇例子予以應用.
이모호결맹위공구,건립료중복모호합작대책이론,파대가권함수적모호n인합작대책적Shapley치추엄도중복모호n인합작대책중,병제출료모호지주서렬적정의이급Shapley치재중복모호합작대책하응만족적삼조공리적개념,진이급출중복모호n인합작대책하적Shapley치적계산공식급증명,최후급출일개례자여이응용.
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 coop-erative 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.