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| 模糊粗糙近似算子的拓扑性质 | |
| 引用本文： | 刘鹏惠,陈子春,秦克云.模糊粗糙近似算子的拓扑性质[J].模糊系统与数学,2008,22(6). |
| 作者姓名： | 刘鹏惠 陈子春 秦克云 |
| 作者单位： | 1. 西华大学,数学与计算机学院,四川,成都,610039 2. 西华大学,数学与计算机学院,四川,成都,610039;西南交通大学,理学院,四川,成都,610013 3. 西南交通大学,理学院,四川,成都,610013 |
| 基金项目： | 国家自然科学基金资助项目 |
| 摘 要： | 考虑论域上一二元关系所决定的模糊粗糙近似算子的拓扑性质,证明了任一自反二元关系可以决定一模糊拓扑.并且,当二元关系自反对称时,该模糊拓扑中的元是开集当且仅当它是闭集;当二元关系自反传递时,该模糊拓扑的闭包与内部算子恰为模糊粗糙上、下近似算子. |
| 关 键 词： | 近似空间 模糊粗糙集 模糊粗糙似算子 模糊拓扑 |
Topological Properties of Fuzzy Rough Approximation Operators |
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| LIU Peng-hui,CHEN Zi-chun,QIN Ke-yun.Topological Properties of Fuzzy Rough Approximation Operators[J].Fuzzy Systems and Mathematics,2008,22(6). | |
| Authors: | LIU Peng-hui CHEN Zi-chun QIN Ke-yun |
| Institution: | LIU Peng-hui1,CHEN Zi-chun1,2,QIN Ke-yun2 (1.School of Mathematics , Computer,Xihua University,Chengdu 610039,China,2.Department of Mathematics,Southwest Jiaotong University,Chengdu 610013,China) |
| Abstract: | In this paper we discusses the topological properties of fuzzy rough aqproximation operators generated by binary relation on the universe.It is proved that any reflexive binary relation determines a fuzzy topology.And,if the binary relation is a reflexive and symmetric,then the objects of this fuzzy topology is open if and only if closed;if the binary relation is a reflexive and transitive,then the closure and interior operators of this fuzzy topology is the fuzzy rough upper and lower approximations operat... |
| Keywords: | Approximation Space Fuzzy Rough Set Fuzzy Rough Approximations Operators Fuzzy Topology |
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