Topological properties of approximation operators based on reflexive and symmetric relations

doi:10.3778/j.issn.1002-8331.2008.26.007

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (26): 23-24.DOI: 10.3778/j.issn.1002-8331.2008.26.007

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Topological properties of approximation operators based on reflexive and symmetric relations

QIAO Quan-xi^1,2,QIN Ke-yun¹

1.Department of Mathematics，Southwest Jiaotong University，Chengdu 610031，China
2.School of Mathematics & Information Science，Henan Polytechnic University，Jiaozuo，Henan 454000，China

Received:2008-03-04 Revised:2008-06-10 Online:2008-09-11 Published:2008-09-11
Contact: QIAO Quan-xi

自反、对称关系下近似算子的拓扑性质

乔全喜^1,2,秦克云¹

1.西南交通大学数学系，成都 610031
2.河南理工大学数学与信息科学学院，河南焦作 454000

通讯作者: 乔全喜

Abstract

Abstract: This paper devotes to the discussion of approximation operators in case of the universe may be infinite.The rough topological space is constructed based on reflexive and symmetric relations.The relationship between rough topological space and topological space which satisfy（clop） axiom is investigated.

Key words: rough set, approximation operator, topological space, （clop）axiom

摘要： 研究一般论域下粗糙近似算子的基本性质，借助自反、对称关系下的近似算子构造了粗糙拓扑空间，并讨论了它与满足公理（clop）的拓扑空间的关系。

关键词: 粗糙集, 近似算子, 拓扑空间, （clop）公理

QIAO Quan-xi^1,2,QIN Ke-yun¹. Topological properties of approximation operators based on reflexive and symmetric relations[J]. Computer Engineering and Applications, 2008, 44(26): 23-24.

乔全喜^1,2,秦克云¹. 自反、对称关系下近似算子的拓扑性质[J]. 计算机工程与应用, 2008, 44(26): 23-24.

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Topological properties of approximation operators based on reflexive and symmetric relations

自反、对称关系下近似算子的拓扑性质

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