The fourth type of covering-based rough sets

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	The fourth type of covering-based rough sets
	Zhu, William 1; Wang, Fei-Yue2
发表期刊	INFORMATION SCIENCES
	2012-10-15
卷号	201 期号:0 页码:80-92
文章类型	Article
摘要	As a technique for granular computing, rough sets deal with the vagueness and granularity in information systems. Covering-based rough sets have been proposed to generalize this theory for wider application. Three types of covering-based rough sets have been studied for different situations. To make the theory more complete, this paper proposes a fourth type of covering-based rough sets. Compared with the existing ones, the new type shows its special characteristic in the interdependency between its lower and upper approximations. We carry out a systematical study of this new theory. First, we discuss basic properties such as normality, contraction, and monotone. Then we investigate the conditions for this type of covering-based rough sets to satisfy the properties of Pawlak's rough sets and study the interdependency between the lower and upper approximation operations. In addition, axiomatic systems for the lower and upper approximation operations are established. Lastly, we address the relationships between this type of covering-based rough sets and the three existing ones. (C) 2012 Elsevier Inc. All rights reserved.
关键词	Rough Set Covering Granular Computing Fuzzy Set Computing With Words
WOS标题词	Science & Technology ; Technology
关键词[WOS]	INCOMPLETE INFORMATION-SYSTEMS ; APPROXIMATION OPERATORS ; FUZZY-SETS ; REDUCTION ; SELECTION ; CONFLICT
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000304335800007
引用统计	被引频次：80[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/173211/3663
专题	多模态人工智能系统全国重点实验室_平行智能技术与系统团队
通讯作者	Zhu, William
作者单位	1.Zhangzhou Normal Univ, Lab Granular Comp, Zhangzhou, Peoples R China 2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, William,Wang, Fei-Yue. The fourth type of covering-based rough sets[J]. INFORMATION SCIENCES,2012,201(0):80-92.
APA	Zhu, William,&Wang, Fei-Yue.(2012).The fourth type of covering-based rough sets.INFORMATION SCIENCES,201(0),80-92.
MLA	Zhu, William,et al."The fourth type of covering-based rough sets".INFORMATION SCIENCES 201.0(2012):80-92.

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