| 模糊化的Egoroff定理 |
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| 引用本文： | 侯喜风.模糊化的Egoroff定理[J].大学数学,2010,26(6). |
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| 作者姓名： | 侯喜风 |
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| 作者单位： | 山西省大同市开发区实验中学,大同,037010 |
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| 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几乎处处收敛,几乎一致收敛和伪几乎一致收敛的概念,并在此基础上,进一步研究了这几种收敛的蕴涵关系,从而获得了模糊化的Egoroff定理,使模糊值函数序列的理论得到进一步丰富.
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| 关 键 词： | 模糊测度 几乎处处收敛 几乎一致收敛 伪几乎一致收敛 |
Fuzzy Form Egoroff Theorem |
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| HOU Xi-feng.Fuzzy Form Egoroff Theorem[J].College Mathematics,2010,26(6). |
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| Authors: | HOU Xi-feng |
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| Abstract: | On the general fuzzy measure sapce,for the sequence of measurable fuzzy valued function,the concepts of the almost everywhere convengence,almost uniformly convengence and pseudo-uniformly convengence are introduced.Consequently,the relationship among three kinds of convergence of them are studied and the fuzzy form Egoroff theorem is obtained. |
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| Keywords: | fuzzy measure almost everywhere convengence almost uniformly convengence pseudo-uniformly convengence |
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