Banach空间上集值测度与模糊数测度的扩张(英文)  

On the Extension of the Set Valued Measures and Fuzzy Number Measures in Banach Spaces

作　　者：哈明虎[1] 薛小平[2] 李国成[2] 

机构地区：[1]河北大学数学系,河北保定071002 [2]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《模糊系统与数学》2000年第4期13-23,共11页Fuzzy Systems and Mathematics

基　　金：Special Fund of China for Ph.D.Instructors in Universities;Special Fund of Hebei Province forPh.D.

摘　　要：在 Banach空间上 ,给出了集值测度的扩张定理并借助集值测度的扩张给出了模糊数测度的扩张定理。The extension theorem for set valued measures is shown and the extension theorems for fuzzy number measures are given by the extension of the set valued measures in Banach spaces.

关 键 词：模糊数测度 BANACH空间 集值测度 扩张定理 

分 类 号：O159[理学—数学] O177.2[理学—基础数学]