| 一般关系下粗糙集拓扑空间性质研究 |
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| 引用本文： | 邢燕,刘卫江. 一般关系下粗糙集拓扑空间性质研究[J]. 渤海大学学报(自然科学版), 2005, 26(1): 20-22 |
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| 作者姓名： | 邢燕 刘卫江 |
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| 作者单位： | 渤海大学,信息科学与工程学院,辽宁,锦州,121000 |
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| 基金项目： | 辽宁省教育厅高校科学研究项目(2021401161) |
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| 摘 要： | 研究了粗糙集和拓扑空间的关系。讨论了一般关系下粗糙集所诱导的拓扑空间的性质。证明了在R是自反和传递的二元关系条件下，U中集X是可定义的充分必要条件是X为(U，TR)中既开又闭的集合。
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| 关 键 词： | 粗糙集 关系 上近似 下近似 |
| 文章编号： | 1673-0569(2005)01-0020-03 |
| 修稿时间： | 2004-10-07 |
Reseatch on topological space properties of rough sets on general relation |
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| XING Yan,LIU Wei-jiang. Reseatch on topological space properties of rough sets on general relation[J]. Journal of Bohai University:Natural Science Editio, 2005, 26(1): 20-22 |
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| Authors: | XING Yan LIU Wei-jiang |
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| Abstract: | The relation between the rough sets and topological space is studied and topological space properties of rough sets on general relation are discussed. On the condition that R is reflective and transi tive,it is also proven that X is decidable if and only if X is open and closed. |
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| Keywords: | rough sets relation upper approximation lower approximation |
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