F值函数关于F值F测度的F积分  

Fuzzy integrals of fuzzy-valued functions with respect to fuzzy-valued fuzzy measures

作　　者：敬石心[1] 郭彩梅[1] 

机构地区：[1]长春大学应用理学院,吉林长春130022

出　　处：《长春大学学报》2001年第4期20-22,共3页Journal of Changchun University

摘　　要：以非负F数的概念为基础 ,定义了取值于非负F数的F测度 ,研究了非负F值函数关于F值F测度的F积分 ,得到了该种积分的定义、性质和收敛定理 ,使得Sugeno的数值F积分得以推广。WT5”BZ]In the paper,based on the concept of nonnegative fuzzy number,the fuzzy measure valued in the set of nonnegative fuzzy numbers is defined.Furtherly,the fuzzy integral of nonnegative measurable fuzzy valued functions with respect to fuzzy valued fuzzy measure is studied,and its definition,properties and convergence theorems are shown,such that Sugenos fuzzy integral is extended. [WT5”HZ]

关 键 词：非负F数 F值F测定 F值函数 F积分 广义单调收敛定理 映射 

分 类 号：O159[理学—数学]