Similarity relations in concept lattices. (English) Zbl 0972.06008

The paper deals with fuzzy concept lattices [cf. A. Burusco Juandeaburre and R. Fuentes-González, Mathware Soft Comput. 1, 209-218 (1994; Zbl 0827.06004), and S. Pollandt, Fuzzy-Begriffe. Formale Begriffsanalyse unscharfer Daten, Springer, Berlin (1997; Zbl 0870.06008)] arising from Formal Concept Analysis [cf. B. Ganter and 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.


06D72 Fuzzy lattices (soft algebras) and related topics
68T30 Knowledge representation
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