| 集合近似邻域与知识论域拓扑空间的性质 |
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| 引用本文： | 张贤勇.集合近似邻域与知识论域拓扑空间的性质[J].四川师范大学学报(自然科学版),2007,30(2):138-141. |
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| 作者姓名： | 张贤勇 |
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| 作者单位： | 四川师范大学,基础部,四川,成都,610110;四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金;四川省青年基金 |
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| 摘 要： | 定义了集合近似邻域，研究了其基本性质，探讨了各种集合近似邻域的关系，以及集合近似邻域与集合邻域、近似算子、点近似邻域、近似拓扑邻域等的关系．用集合近似邻域为手段，研究了知识论域拓扑空间，得出了一些重要结论．
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| 关 键 词： | 拓扑 粗糙集 邻域 集合近似邻域 知识论域拓扑空间 |
| 文章编号： | 1001-8395（2007）02-0138-04 |
| 收稿时间： | 2005-05-29 |
| 修稿时间： | 2005年5月29日 |
Set Approximate Neighbourhood and Properties of Knowledge Universe Topology Spaces |
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| ZHANG Xian-yong.Set Approximate Neighbourhood and Properties of Knowledge Universe Topology Spaces[J].Journal of Sichuan Normal University(Natural Science),2007,30(2):138-141. |
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| Authors: | ZHANG Xian-yong |
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| Institution: | 1. Section of Fundamental Studies, Sichuan Normal University, Chengdu 610110, Sichuan ; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper, a concept of a set approximate neighbourhood is defined. Some basic properties of the concept, relationship among various kinds of set approximate neighbourhoods, connections among set approximate nelghbourhood and set neighbourhood, approximate operators, point approximate neighbourhood, approximate topology neighhourhood, etc, are studied. The knowledge universe topology spaces are studied by set approximate neighbourhood, and many important conclusions are achieved. |
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| Keywords: | Topology Rough set Neighbourhood Set approximate neighbourhood Knowledge universe topology spaces |
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