On three types of covering-based rough sets

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	On three types of covering-based rough sets
	Zhu, William ; Wang, Fei-Yue
发表期刊	IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING
	2007-08-01
卷号	19 期号:8 页码:1131-1144
文章类型	Article
摘要	Rough set theory is a useful tool for data mining. It is based on equivalence relations and has been extended to covering-based generalized rough set. This paper studies three kinds of covering generalized rough sets for dealing with the vagueness and granularity in information systems. First, we examine the properties of approximation operations generated by a covering in comparison with those of the Pawlak's rough sets. Then, we propose concepts and conditions for two coverings to generate an identical lower approximation operation and an identical upper approximation operation. After the discussion on the interdependency of covering lower and upper approximation operations, we address the axiomization issue of covering lower and upper approximation operations. In addition, we study the relationships between the covering lower approximation and the interior operator and also the relationships between the covering upper approximation and the closure operator. Finally, this paper explores the relationships among these three types of covering rough sets.
关键词	Rough Sets Approximation Covering Data Mining Reduct Fuzzy Sets Granular Computing Computing With Words
WOS标题词	Science & Technology ; Technology
关键词[WOS]	FUZZY-SETS ; ALGORITHM ; PROTEIN
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000248223300010
引用统计	被引频次：364[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/9444
专题	09年以前成果
通讯作者	Zhu, William
作者单位	1.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China 2.Univ Auckland, Dept Comp Sci, Auckland 1, New Zealand 3.Univ Arizona, Dept Syst & Ind Engn, Tucson, AZ 85721 USA
推荐引用方式 GB/T 7714	Zhu, William,Wang, Fei-Yue. On three types of covering-based rough sets[J]. IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING,2007,19(8):1131-1144.
APA	Zhu, William,&Wang, Fei-Yue.(2007).On three types of covering-based rough sets.IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING,19(8),1131-1144.
MLA	Zhu, William,et al."On three types of covering-based rough sets".IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING 19.8(2007):1131-1144.

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