模糊值函数序列的广义Egoroff定理  

Generalized Egoroff theorems of sequence of fuzzy valued functions

作　　者：李艳红[1] 

机构地区：[1]辽东学院师范学院数学系,辽宁丹东118003

出　　处：《山东大学学报（理学版）》2009年第4期88-91,共4页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(70571056)

摘　　要：在一般模糊测度空间上,针对可测模糊值函数序列给出了(伪)几乎处处收敛和(伪)几乎一致收敛的概念,研究了几乎处处收敛和几乎一致收敛、伪几乎处处收敛和伪几乎一致收敛的蕴涵关系,从而获得了不同形式的模糊化的广义Egoroff定理。On the general fuzzy measure space, aiming at the sequence of measurable fuzzy valued functions, we present the concepts of almost everywhere convergence（or pseudo-almost everywhere convergence）and almost uniform convergence（or pseudo-almost uniform convergence）, study the implication relationship of almost everywhere convergence and pseudo-almost everywhere convergence or almost uniform convergence and pseudo-almost uniform convergence. Thereby many different kinds of fuzzy generalized Egoroff theorems are obtained.

关 键 词：模糊测度 几乎处处收敛 伪几乎处处收敛 几乎一致收敛 伪几乎一致收敛 

分 类 号：O159[理学—数学]