集值模糊测度空间上的Egoroff定理和Lusin定理  

Egoroff's Theorem and Lusin's Theorem on a Set-valued Fuzzy Measure Space

作　　者：耿晓妮 吴健荣[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《模糊系统与数学》2015年第2期34-38,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11371013)

摘　　要：在集值模糊测度空间中证明了Egoroff定理,在此基础上,利用集值模糊测度的正则性,将Lusin定理及其逆定理推广到了集值模糊测度空间之中。In this paper, Egoroff＇s theorem in a set-valued fuzzy measure space is proved. On this basis, by using the regularity of a set-valued fuzzy measure, Lusin＇ s theorem and its converse theorem are generaized to a set-valued fuzzy measure space too.

关 键 词：集值模糊测度空间 可测函数 EGOROFF定理 Lusin定理 

分 类 号：O159[理学—数学]