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粗糙集构成的拓扑空间 被引量:5

Topological Space Based on Rough Sets
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摘要 在Pawlak近似空间意义下研究粗糙集构成的拓扑空间。讨论了当论域不受限于有限集时粗糙集可以构成一个拓扑空间,并从拓扑空间的分离性上证明了其粗糙拓扑空间是一个正规的拓扑空间。 This paper is devoted to the discussion of topological structure of rough sets in Pawlak approximation space.Topological space based on rough sets on the universe which is not restricted to be finite was investigated and it was proved that the rough topological space is a normal space on separability of topological space.
出处 《计算机科学》 CSCD 北大核心 2010年第11期230-231,共2页 Computer Science
基金 国家自然科学基金项目(批准号:60875034)资助
关键词 粗糙集 拓扑 拓扑空间 正规空间 Rough set Topology Topological space Normal space
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共引文献21

同被引文献26

  • 1秦克云,裴峥,杜卫锋.粗糙近似算子的拓扑性质[J].系统工程学报,2006,21(1):81-85. 被引量:14
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