Reduction and a Simple Proof of Characterization of Fuzzy Concept  Lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 English Publisher:SAGE PublicationsJournal:Fundamenta Informaticae, volume 46, pages 277-285 (issn: 0169-2968, eissn: 1875-8681,

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Authors: Radim Belohlávek;

doi: 10.3233/fun-2001-46401

Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices

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Abstract

Presented is a reduction of fuzzy Galois connections and fuzzy concept lattices to (crisp) Galois connections and concept lattices: each fuzzy concept lattice can be viewed as a concept lattice (in a natural way). As a result, a simple proof of the characterization theorem for fuzzy concept lattices is obtained. The reduction enables us to apply the results worked out for concept lattices to fuzzy concept lattices.

Related Organizations

Palacký University, Olomouc
Czech Republic

Keywords

Fuzzy lattices (soft algebras) and related topics, fuzzy Galois conection, fuzzy concept lattice

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