The relationship between L-fuzzy rough set and L-topology

被引：71

作者：

Hao, Jing ^{[1
]}

Li, Qingguo ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 178卷 / 01期

基金：

中国国家自然科学基金;

关键词：

L-fuzzy rough set; Alexandrov L-topology; L-preorder; APPROXIMATIONS; REFLEXIVE;

D O I：

10.1016/j.fss.2011.03.009

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Various fuzzy generalizations of rough approximations have been proposed in the literature. This paper is devoted to the discussion of the relationship between L-fuzzy rough sets and L-topologies on an arbitrary universe. Finally, one-to-one correspondence between the set of all reflexive, transitive L-relations and the set of all Alexandrov L-topologies is obtained. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：74 / 83

页数：10

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