| 非可加测度理论中的伪形式的Egoroff定理 |
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| 引用本文： | 李军,李鉴增. 非可加测度理论中的伪形式的Egoroff定理[J]. 模糊系统与数学, 2007, 21(3): 101-106 |
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| 作者姓名： | 李军 李鉴增 |
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| 作者单位： | 中国传媒大学,理学院,北京,100024;中国传媒大学,信息工程学院,北京,100024 |
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| 基金项目： | 中国传媒大学博士后基金 |
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| 摘 要： | 引入一个新概念——集函数的条件(PE),并给出非可加测度理论中一种伪形式的Egoroff定理。证明这个条件对于单调测度空间上伪形式的Egoroff定理不仅是充分的而且也是必要的。
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| 关 键 词： | 模糊测度 伪几乎处处收敛 伪几乎一致收敛 条件(PE) Egoroff定理 |
| 文章编号： | 1001-7402（2007）03-0101-06 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-01-10 |
A Pseudo-Version of Egoroff's Theorem in Non-additive Measure Theory |
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| LI Jun,LI Jian-zeng. A Pseudo-Version of Egoroff's Theorem in Non-additive Measure Theory[J]. Fuzzy Systems and Mathematics, 2007, 21(3): 101-106 |
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| Authors: | LI Jun LI Jian-zeng |
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| Affiliation: | 1. Department of Applied Mathematics,School of Science,Communication University of China,Beijing 100024, China; 2. School of Information Engineering,Communication University of China, Beijing 100024,China |
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| Abstract: | In this paper,we introduce the concept of condition(PE) of set function and by using the condition to show a pseudo-version of Egoroff's theorem in non-additive measure theory. The condition(PE) is not only sufficient but also necessary for the pseudo-version of Egoroff's theorem on monotone measure space. |
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| Keywords: | Fuzzy Measure Pseudo-almost Everywhere convergence Condition(PE) Egoroff's Theorem |
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