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Journal of Logic and Computation

Volume 12, Issue 1, February 2002: pp. 137-148

Logical Precision in Concept Lattices

Radim Belohlavek1

1Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30.dubna 22, CZ-701 03 Ostrava, Czech Republic. E-mail: radim.belohlavek@osu.cz

New results on fuzzy concepts and concept lattices are presented. The issue of logical precision, a phenomenon that-although completely degenerate in two-valued logic-naturally arises in the context of fuzzy logic is studied. We present basic results regarding logical precision and concept lattices. Since, as far as we know, the phenomenon has not been discussed in literature so far, we briefly discuss its role in the general context of relational systems. We argue that logical precision should be considered as a possible way to treat the problem of information granularity from the logical point of view.

Keywords: Conceptual structure; logical precision; fuzzy concept lattice; granularity

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