Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors

doi:10.1007/s11704-009-0060-0

	Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors
	Wu, Mingfen 1,2
	2009-12-01
发表期刊	FRONTIERS OF COMPUTER SCIENCE IN CHINA
ISSN	1673-7350
卷号	3 期号:4 页码:560-568
摘要	Rough sets, proposed by Pawlak and rough fuzzy sets proposed by Dubois and Prade were expressed with the different computing formulas that were more complex and not conducive to computer operations. In this paper, we use the composition of a fuzzy matrix and fuzzy vectors in a given non-empty finite universal, constitute an algebraic system composed of finite dimensional fuzzy vectors and discuss some properties of the algebraic system about a basis and operations. We give an effective calculation representation of rough fuzzy sets by the inner and outer products that unify computing of rough sets and rough fuzzy sets with a formula. The basis of the algebraic system play a key role in this paper. We give some essential properties of the lower and upper approximation operators generated by reflexive, symmetric, and transitive fuzzy relations. The reflexive, symmetric, and transitive fuzzy relations are characterized by the basis of the algebraic system. A set of axioms, as the axiomatic approach, has been constructed to characterize the upper approximation of fuzzy sets on the basis of the algebraic system.
关键词	fuzzy vector fuzzy matrix fuzzy relation operation basis lower and upper approximation rough fuzzy sets unary operator
DOI	10.1007/s11704-009-0060-0
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] ; Guangdong Provincial Natural Science Foundation of China[0501332] ; Guangdong Provincial Natural Science Foundation of China[5013315] ; Guangdong Educational Department Natural Science Foundation of China
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:000207971200014
出版者	HIGHER EDUCATION PRESS
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/11553
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.Wuyi Univ, Sch Informat Sci, Jiangmen 529020, Peoples R China 2.Chinese Acad Sci, Key Lab Intelligent Informat Proc, Inst Comp Technol, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wu, Mingfen. Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors[J]. FRONTIERS OF COMPUTER SCIENCE IN CHINA,2009,3(4):560-568.
APA	Wu, Mingfen.(2009).Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors.FRONTIERS OF COMPUTER SCIENCE IN CHINA,3(4),560-568.
MLA	Wu, Mingfen."Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors".FRONTIERS OF COMPUTER SCIENCE IN CHINA 3.4(2009):560-568.