Invariance of separation in covering approximation spaces

被引：1

作者：

Li, Qifang ^{[1
]}

Li, Jinjin ^{[1
]}

Ge, Xun ^{[2
]}

Li, Yiliang ^{[3
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 06期

基金：

中国国家自然科学基金;

关键词：

covering approximation space; invariance; separation; reduct; covering approximation subspace; transformation; ROUGH SETS; REDUCTION;

D O I：

10.3934/math.2021341

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the invariance of separation in covering approximation spaces are discussed. This paper proves that some separations in covering approximation spaces are invariant to reducts of coverings, invariant to covering approximation subspaces and invariant under CAP-transformations of covering approximation spaces. These results deepen and enrich theory of separations in covering approximation spaces, which is helpful to give further researches and applications of Pawlak rough set theory in information sciences.

引用

页码：5772 / 5785

页数：14

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