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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-aae02523b68846208ae7bef6a9dd8fe5 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT peterbutka representationoffuzzyconceptlatticesintheframeworkofclassicalfca AT jozefpocs representationoffuzzyconceptlatticesintheframeworkofclassicalfca AT janapocsova representationoffuzzyconceptlatticesintheframeworkofclassicalfca |