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Journal of Applied Mathematics
Volume 2013, Article ID 236725, 7 pages
Research Article

Representation of Fuzzy Concept Lattices in the Framework of Classical FCA

1Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia
2Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic
3Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia
4Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Boženy Němcovej 3, 043 84 Košice, Slovakia

Received 12 July 2013; Revised 30 September 2013; Accepted 10 October 2013

Academic Editor: Hak-Keung Lam

Copyright © 2013 Peter Butka et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We describe a representation of the fuzzy concept lattices, defined via antitone Galois connections, within the framework of classical Formal Concept Analysis. As it is shown, all needed information is explicitly contained in a given formal fuzzy context and the proposed representation can be obtained without a creation of the corresponding fuzzy concept lattice.