Approximation operators based on vague relations and roughness measures of vague sets

doi:10.1007/s11704-011-9176-0

CORC > 计算技术研究所 > 中国科学院计算技术研究所 > 中国科学院计算技术研究所期刊论文 > 英文

	Approximation operators based on vague relations and roughness measures of vague sets
	Wu, Mingfen 1,2
刊名	FRONTIERS OF COMPUTER SCIENCE IN CHINA
	2011-12-01
卷号	5 期号:4 页码:429-441
关键词	vague relation vague approximation space rough vague set roughness measure similarity measure
ISSN号	1673-7350
DOI	10.1007/s11704-011-9176-0
英文摘要	Rough set theory and vague set theory are powerful tools for managing uncertain, incomplete and imprecise information. This paper extends the rough vague set model based on equivalence relations and the rough fuzzy set model based on fuzzy relations to vague sets. We mainly focus on the lower and upper approximation operators of vague sets based on vague relations, and investigate the basic properties of approximation operators on vague sets. Specially, we give some essential characterizations of the lower and upper approximation operators generated by reflexive, symmetric, and transitive vague relations. Finally, we structure a parameterized roughness measure of vague sets and similarity measure methods between two rough vague sets, and obtain some properties of the roughness measure and similarity measures. We also give some valuable counterexamples and point out some false properties of the roughness measure in the paper of Wang et al.
资助项目	National Natural Science Foundation of China[10341002] ; National Natural Science Foundation of China[60573063] ; National Natural Science Foundation of China[60573064] ; Natural Science Foundation of Guangdong[S2011010003681] ; Guangdong Science and Technology Plan Project[2010B010600039] ; open foundation of Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences[IIP2010-5] ; Wuyi University Key Research Foundation
WOS研究方向	Computer Science
语种	英语
出版者	HIGHER EDUCATION PRESS
WOS记录号	WOS:000297646300006
内容类型	期刊论文
源URL	[http://119.78.100.204/handle/2XEOYT63/13117]
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Wu, Mingfen
作者单位	1.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100190, Peoples R China 2.Wuyi Univ, Sch Informat Sci, Jiangmen 529020, Peoples R China
推荐引用方式 GB/T 7714	Wu, Mingfen. Approximation operators based on vague relations and roughness measures of vague sets[J]. FRONTIERS OF COMPUTER SCIENCE IN CHINA,2011,5(4):429-441.
APA	Wu, Mingfen.(2011).Approximation operators based on vague relations and roughness measures of vague sets.FRONTIERS OF COMPUTER SCIENCE IN CHINA,5(4),429-441.
MLA	Wu, Mingfen."Approximation operators based on vague relations and roughness measures of vague sets".FRONTIERS OF COMPUTER SCIENCE IN CHINA 5.4(2011):429-441.