NDLI: n-Strong-Direct-Product Formal Context

Content Provider	IEEE Xplore Digital Library
Author	Mei-zheng Li Ju-sheng Mi
Copyright Year	2010
Abstract	This paper constructs a new formal context called n-Strong-Direct-Product formal context (n-SDPFC, for short) by the strong direct product of n formal contexts, and then discusses the connection between the n-SDPFC and the n original contexts from four aspects: concept lattice, implications between attributes, irreducible elements and attribute characteristics. It is proved that the projection of every formal concept of a n-SDPFC on the i-th original formal context is also a concept of the corresponding original formal context, and under some given conditions, the product of n formal concepts of the n corresponding original formal contexts is a concept of the n-SDPFC. An implications between attributes of an n-SDPFC can be obtained if we know all of the implications between attributes in the original formal contexts, since it can be formed component-wise, and vice verse. A judgement theorem for irreducible elements in the concept lattice of an n-SDPFC is obtained, which is based on the irreducible elements in the n original concept lattices. Then we propose a method for the determination of the attribute characteristics in an n-SPDFC, which is based on the attribute characteristics of the original formal contexts. And this method makes it more easier to find out all of the attribute characteristics in an n-SDPFC.
Starting Page	286
Ending Page	291
File Size	224818
Page Count	6
File Format	PDF
ISBN	9781424479641
DOI	10.1109/GrC.2010.108
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-08-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Context Conferences Lattices formal contexts Knowledge representation Bismuth attribute characteristics concept lattices implications between attributes Manganese
Content Type	Text
Resource Type	Article

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