Axiomatization and conditions for neighborhoods in a covering to form a partition

被引：44

作者：

Yun, Ziqiu ^{[2
]}

Ge, Xun ^{[1
]}

Bai, Xiaole ^{[3
]}

机构：

[1] Jiangsu Univ Sci & Technol, Sch Zhangjiagang, Zhangjiagang 215600, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[3] Univ Massachusetts Dartmouth, Comp Informat & Sci Dept, Dartmouth, MA 02747 USA

来源：

INFORMATION SCIENCES | 2011年 / 181卷 / 09期

关键词：

Covering-based rough set; Covering lower (upper) approximation; Point-set topology; Neighborhood; ROUGH SETS; BINARY RELATION; REFLEXIVE;

D O I：

10.1016/j.ins.2011.01.013

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the axiomatic issue of a type of covering upper approximation operations. This issue was proposed as an open problem. We also further some known results by using only a single covering approximation operator to characterize the conditions for neighborhood {N(x): x is an element of U} to form a partition of universe U. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1735 / 1740

页数：6

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