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.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
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)
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
fuzzy measure
almost eveiywhere convergence
pseudo-almost everywhere convergence
almost uniform convergence
pseudo-almost uniform convergence
