Rough set theory for topological spaces

被引：181

作者：

Lashin, EF

Kozae, AM ^{[1
]}

Khadra, AAA

Medhat, T

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

[2] Tanta Univ, Fac Engn, Dept Phys & Engn Math, Tanta, Egypt

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2005年 / 40卷 / 1-2期

关键词：

topological space; rough set; fuzzy set; membership function; knowledge representation and processing;

D O I：

10.1016/j.ijar.2004.11.007

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The topology induced by binary relations is used to generalize the basic rough set concepts. The suggested topological structure opens up the way for applying rich amount of topological facts and methods in the process of granular computing, in particular, the notion of topological membership functions is introduced that integrates the concept of rough and fuzzy sets. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：35 / 43

页数：9

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