Covering-based fuzzy rough sets

被引：10

作者：

Kong, Qing-Zhao ^{[1
,2
]}

Wei, Zeng-Xin ^{[3
]}

机构：

[1] E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

[2] Jimei Univ, Sch Sci, Xiamen, Fujian, Peoples R China

[3] Guangxi Univ, Sch Math & Informat, Nanning 530004, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 29卷 / 06期

关键词：

Fuzzy rough sets; monotone covering; approximation operator; algebraic property; REDUCTION; SYSTEM; SPACES;

D O I：

10.3233/IFS-151940

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Many researchers have combined rough set theory and fuzzy set theory in order to easily approach problems of imprecision and uncertainty. Covering-based rough sets are one of the important generalizations of classical rough sets. Naturally, covering-based fuzzy rough sets can be studied as a combination of covering-based rough set theory and fuzzy set theory. It is clear that Pawlak's rough set model and fuzzy rough set model are special cases of the covering-based fuzzy rough set model. This paper investigates the properties of covering-based fuzzy rough sets. In addition, operations of intersection, union and complement on covering-based fuzzy rough sets are investigated. Finally, the corresponding algebraic properties are discussed in detail.

引用

页码：2405 / 2411

页数：7

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