The fourth type of covering-based rough sets

CORC > 自动化研究所 > 中国科学院自动化研究所 > 复杂系统管理与控制国家重点实验室 > 先进控制与自动化团队

	The fourth type of covering-based rough sets
	Zhu, William 1; Wang, Fei-Yue2
刊名	INFORMATION SCIENCES
	2012-10-15
卷号	201 期号:0 页码:80-92
关键词	Rough set Covering Granular computing Fuzzy set Computing with words
通讯作者	Zhu, William
英文摘要	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.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Information Systems
研究领域[WOS]	Computer Science
关键词[WOS]	INCOMPLETE INFORMATION-SYSTEMS ; APPROXIMATION OPERATORS ; FUZZY-SETS ; REDUCTION ; SELECTION ; CONFLICT
收录类别	SCI
语种	英语
WOS记录号	WOS:000304335800007
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/3663]
专题	自动化研究所_复杂系统管理与控制国家重点实验室_先进控制与自动化团队
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.