| 集合列的上(下)极限及其应用 |
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| 引用本文： | 刘婷,王贵君. 集合列的上(下)极限及其应用[J]. 天津商学院学报, 2006, 26(3): 61-64 |
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| 作者姓名： | 刘婷 王贵君 |
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| 作者单位： | 天津师范大学数学科学学院，天津师范大学数学科学学院 天津 300384，天津 300384 |
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| 基金项目： | 中国科学院资助项目;天津市高等学校科技发展基金 |
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| 摘 要： | 从集合列的定义出发,系统总结并讨论了集合列的上(下)极限的一般性质。分别在广义实值函数空间和一般模糊测度空间上,利用集合列的上(下)极限定义和性质,研究了广义实值函数和一般模糊测度的表示和应用问题。
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| 关 键 词： | 集合列 上(下)极限集 广义实值函数 模糊测度 |
| 文章编号： | 1001-0262(2006)03-0061-04 |
| 收稿时间： | 2006-02-27 |
| 修稿时间： | 2006-02-27 |
The Super (Inferior) Limit of Sequence of Sets and Its Applications |
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| LIU Ting,WANG Gui-jun. The Super (Inferior) Limit of Sequence of Sets and Its Applications[J]. Journal of Tianjin University of Commerce, 2006, 26(3): 61-64 |
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| Authors: | LIU Ting WANG Gui-jun |
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| Affiliation: | School of Mathematics Science, Tianjin Normal University, Tianjin 300384, China |
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| Abstract: | Taking advantage of the definition of the sequences of sets, we systematically summarize and discuss general properties of super (inferior) limits of the sequences of sets. And then, on the spaces of generalized real valued functions and general fuzzy measures, we study the representations and applications with respect to generalized real valued functions and general fuzzy measures in the light of the definitions and properties of super (inferior) limits of the sequences of sets respectively. |
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| Keywords: | Sequence of sets super (inferior) limits fuzzy measures |
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