Normalized-scale Relations and Their Concept Lattices in Relational Databases

doi:10.3233/FI-2009-110

	Normalized-scale Relations and Their Concept Lattices in Relational Databases
	Lei, Yuxia 1,2; Sui, Yuefei ; Cao, Cungen
	2009
发表期刊	FUNDAMENTA INFORMATICAE
ISSN	0169-2968
卷号	93 期号:4 页码:393-409
摘要	Formal Concept Analysis (FCA) is a valid tool for data mining and knowledge discovery, which identifies conceptual structures from (formal) contexts. As many practical applications involve non-binary data, non-binary attributes are introduced via a many-valued context in FCA. In FCA, conceptual scaling provides a complete framework for transforming any many-valued context into a context, in which each non-binary attribute is given a scale, and the scale is a context. Each relation in relational databases is a many-valued context of FCA. In this paper, we provide an approach toward normalizing scales, i.e., each scale can be represented by a nominal scale and/or a set of statements. One advantage of normalizing scales is to avoid generating huge (binary) derived relations. By the normalization, the concept lattice of a derived relation is reduced to a combination of the concept lattice of a derived nominal relation and a set of statements. Hence, without transforming a relation into a derived relation, one can not only determine concepts of the derived relation from concepts of given scales, but also determine concepts of the derived relation from concepts of a derived nominal relation and a set of statements. The connection between the concept lattice of a derived nominal relation and the concept lattice of a derived relation is also considered.
关键词	Relational databases formal concept analysis concept lattices plain scaling derived relations normalized-scale relations
DOI	10.3233/FI-2009-110
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[60496326] ; National Natural Science Foundation of China[60573063] ; National Natural Science Foundation of China[60573064] ; National Natural Science Foundation of China[60773059] ; National 863 Program[2007AA01Z325]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000268792300004
出版者	IOS PRESS
引用统计
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/11617
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Lei, Yuxia
作者单位	1.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Lei, Yuxia,Sui, Yuefei,Cao, Cungen. Normalized-scale Relations and Their Concept Lattices in Relational Databases[J]. FUNDAMENTA INFORMATICAE,2009,93(4):393-409.
APA	Lei, Yuxia,Sui, Yuefei,&Cao, Cungen.(2009).Normalized-scale Relations and Their Concept Lattices in Relational Databases.FUNDAMENTA INFORMATICAE,93(4),393-409.
MLA	Lei, Yuxia,et al."Normalized-scale Relations and Their Concept Lattices in Relational Databases".FUNDAMENTA INFORMATICAE 93.4(2009):393-409.