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

doi:10.1007/s11704-011-9176-0

	Approximation operators based on vague relations and roughness measures of vague sets
	Wu, Mingfen 1,2
	2011-12-01
发表期刊	FRONTIERS OF COMPUTER SCIENCE IN CHINA
ISSN	1673-7350
卷号	5 期号:4 页码:429-441
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.
关键词	vague relation vague approximation space rough vague set roughness measure similarity measure
DOI	10.1007/s11704-011-9176-0
收录类别	SCI
语种	英语
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
WOS类目	Computer Science, Information Systems ; Computer Science, Software Engineering ; Computer Science, Theory & Methods
WOS记录号	WOS:000297646300006
出版者	HIGHER EDUCATION PRESS
引用统计
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/13118
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.