On minimization of axiom sets characterizing covering-based approximation operators

被引：48
|
作者：
Zhang, Yan-Lan [1 ,2 ]
Luo, Mao-Kang [1 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China
[2] Zhangzhou Normal Univ, Dept Comp Sci & Engn, Zhangzhou 363000, Fujian, Peoples R China
来源：
INFORMATION SCIENCES | 2011年 / 181卷 / 14期
基金：
中国国家自然科学基金;
关键词：
Axioms; Covering-based approximation operators; Covering-based generalized rough sets; Rough sets; Minimization; ROUGH SETS; REDUCTION; SYSTEMS;
D O I：
10.1016/j.ins.2011.02.020
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Rough set theory was proposed by Pawlak to deal with the vagueness and granularity in information systems. The classical relation-based Pawlak rough set theory has been extended to covering-based generalized rough set theory. The rough set axiom system is the foundation of the covering-based generalized rough set theory, because the axiomatic characterizations of covering-based approximation operators guarantee the existence of coverings reproducing the operators. In this paper, the equivalent characterizations for the independent axiom sets of four types of covering-based generalized rough sets are investigated, and more refined axiom sets are presented. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3032 / 3042
页数：11
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