Similarity relations in concept lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2000 English Publisher:Oxford University Press (OUP)Journal:Journal of Logic and Computation, volume 10, pages 823-845 (issn: 0955-792X, eissn: 1465-363X,

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Authors: Radim Belohlávek;

doi: 10.1093/logcom/10.6.823

Similarity relations in concept lattices

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Abstract

The paper deals with fuzzy concept lattices [cf. \textit{A. Burusco Juandeaburre} and \textit{R. Fuentes-González}, Mathware Soft Comput. 1, 209-218 (1994; Zbl 0827.06004), and \textit{S. Pollandt}, Fuzzy-Begriffe. Formale Begriffsanalyse unscharfer Daten, Springer, Berlin (1997; Zbl 0870.06008)] arising from Formal Concept Analysis [cf. \textit{B. Ganter} and \textit{R. Wille}, Formale Begriffsanalyse. Mathematische Grundlagen, Springer, Berlin (1996; Zbl 0861.06001)] by fuzzification. The aim of the paper is to simplify fuzzy concept lattices reducing the represented information in a meaningful way. The author uses similarity relations to factorize the concept lattices. Similarity relations are considered on objects, concepts, and concept lattices.

Related Organizations

University of Ostrava
Czech Republic
Technical University of Ostrava
Czech Republic

Keywords

residuated lattice, formal concept analysis, Fuzzy lattices (soft algebras) and related topics, tolerance, fuzzy concept lattices, Knowledge representation, fuzzy logic, similarity

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