| L-拓扑空间上的关于拓扑基的近似算子 |
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| 引用本文： | 杨云. L-拓扑空间上的关于拓扑基的近似算子[J]. 培训与研究, 2010, 27(2): 1-4 |
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| 作者姓名： | 杨云 |
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| 作者单位： | 湖北第二师范学院,数学与数量经济学院,武汉,430205 |
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| 摘 要： | 本文将集合论中的拓扑概念引入到完全分配格上，定义了L-拓扑空间，拓扑基，以及拓扑基的上（下）近似算子等概念，利用格L上拓扑基来刻画关于拓扑基的上（下）近似算子的性质，得到若干结果。从算子论和拓扑论的角度深化了粗糙集与拓扑的内容。
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| 关 键 词： | 完全分配格：近似算子 L-拓扑空间 拓扑基 |
Approximate Operators of Topological Base on L-Topological Space |
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| YANG Yun. Approximate Operators of Topological Base on L-Topological Space[J]. Training and Research-Journal of Hubei College of Education, 2010, 27(2): 1-4 |
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| Authors: | YANG Yun |
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| Affiliation: | College of Mathematics and Quantitative Econmics/a>;Hubei University of Education/a>;Wuhan 430205/a>;China |
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| Abstract: | In this paper,topological is introduced on the completely distributive lattice.The notions,lattice topological space,upper and lower approximate operators on topological base are defined,and the properties of them are studied.The properties of upper and lower approximate operators on topological base are characteristics by topological base,some resend are obtained.Rough sets theory and topology have been enriched from the operator-oriented and topology-oriented views. |
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| Keywords: | completely distributive lattice approximate operator L-topological space topological base |
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