Similarity relations in concept lattices. (English) Zbl 0972.06008

Bělohlávek, Radim

J. Log. Comput. 10, No. 6, 823-845 (2000).

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.

Reviewer: S.Pollandt (Darmstadt)

MSC:

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

Keywords:

fuzzy concept lattices; similarity; fuzzy logic; residuated lattice; tolerance; formal concept analysis

Citations:

Zbl 0827.06004; Zbl 0870.06008; Zbl 0861.06001