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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.

MSC:

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