Representation of Fuzzy Concept Lattices in the Framework of Classical FCA

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 obtain...

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Main Authors: Peter Butka, Jozef Pócs, Jana Pócsová
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/236725
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author Peter Butka
Jozef Pócs
Jana Pócsová
author_facet Peter Butka
Jozef Pócs
Jana Pócsová
author_sort Peter Butka
collection DOAJ
description 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.
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institution Kabale University
issn 1110-757X
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language English
publishDate 2013-01-01
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series Journal of Applied Mathematics
spelling doaj-art-aae02523b68846208ae7bef6a9dd8fe52025-02-03T05:45:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/236725236725Representation of Fuzzy Concept Lattices in the Framework of Classical FCAPeter Butka0Jozef Pócs1Jana Pócsová2Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaDepartment of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech RepublicInstitute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Boženy Němcovej 3, 043 84 Košice, SlovakiaWe 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.http://dx.doi.org/10.1155/2013/236725
spellingShingle Peter Butka
Jozef Pócs
Jana Pócsová
Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
Journal of Applied Mathematics
title Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
title_full Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
title_fullStr Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
title_full_unstemmed Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
title_short Representation of Fuzzy Concept Lattices in the Framework of Classical FCA
title_sort representation of fuzzy concept lattices in the framework of classical fca
url http://dx.doi.org/10.1155/2013/236725
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AT jozefpocs representationoffuzzyconceptlatticesintheframeworkofclassicalfca
AT janapocsova representationoffuzzyconceptlatticesintheframeworkofclassicalfca