| 模糊值函数序列的广义Egoroff定理 |
| |
| 引用本文： | 李艳红.模糊值函数序列的广义Egoroff定理[J].山东大学学报(理学版),2009,44(4):88-91. |
| |
| 作者姓名： | 李艳红 |
| |
| 作者单位： | 辽东学院师范学院数学系; |
| |
| 基金项目： | 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。
|
| 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 |
| 收稿时间： | 2008-12-02 |
Generalized Egoroff theorems of sequence of fuzzy valued functions |
| |
| LI Yan-hong.Generalized Egoroff theorems of sequence of fuzzy valued functions[J].Journal of Shandong University,2009,44(4):88-91. |
| |
| Authors: | LI Yan-hong |
| |
| Affiliation: | Department of Mathematics;Teacher's College;Easten Liaoning University;Dandong 118003;Liaoning;China |
| |
| Abstract: | 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 obt... |
| |
| Keywords: | fuzzy measure almost everywhere convergence pseudoalmost everywhere convergence almost uniform convergence pseudo-almost uniform convergence |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《山东大学学报(理学版)》下载全文 |
