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Logic Journal of IGPL 2005 13(5):543-550; doi:10.1093/jigpal/jzi045
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© The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

A Generalized Concept Lattice

Stanislav Krajci

Institute of Computer Science, Faculty of Science, UPJS Kosice, Slovakia. E-mail: krajci{at}science.upjs.sk

We describe a new approach to fuzzify a concept lattice and we show that it is a generalization and common platform for so far known approaches: a classical crisp Ganter & Wille's [7] case, a fuzzy Pollandt [12] and Belohlávek' [2] one and one-sided fuzzy concept lattice [5]. We define appropriate (symmetric) mappings and show that they form a Galois connection. In the end we show that these mappings generate a complete lattice.

Key Words: fuzzy, concept lattice

Received 27 April 2005.


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