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
收藏
页码：2405 / 2411
页数：7
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