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  • The paper presents results on representation of the basic structures related to ternary fuzzy relations by the structures related to ordinary ternary relations, such as Galois connections, closure operators, and trilattices (structures of maximal Cartesian subrelations). These structures appear as the fundamental structures in relational data analysis such as formal concept analysis or association rules. We prove several representation theorems that allow us to automatically transfer some of the known results from the ordinary case to fuzzy case. The transfer is demonstrated by examples.
  • The paper presents results on representation of the basic structures related to ternary fuzzy relations by the structures related to ordinary ternary relations, such as Galois connections, closure operators, and trilattices (structures of maximal Cartesian subrelations). These structures appear as the fundamental structures in relational data analysis such as formal concept analysis or association rules. We prove several representation theorems that allow us to automatically transfer some of the known results from the ordinary case to fuzzy case. The transfer is demonstrated by examples. (en)
Title
  • Triadic fuzzy Galois connections as ordinary connections
  • Triadic fuzzy Galois connections as ordinary connections (en)
skos:prefLabel
  • Triadic fuzzy Galois connections as ordinary connections
  • Triadic fuzzy Galois connections as ordinary connections (en)
skos:notation
  • RIV/61989592:15310/12:33141666!RIV13-GA0-15310___
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  • P(GAP202/10/0262)
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  • 175165
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  • RIV/61989592:15310/12:33141666
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  • Galois connection, trilattice, fuzzy logic, ternary relation, formal concept analysis (en)
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  • [4A2ACD417A28]
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  • Brisbane, QLD, Austrálie
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  • New York
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  • Proceedings of the 2012 IEEE International Conference on Fuzzy Systems
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  • Bělohlávek, Radim
  • Osička, Petr
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issn
  • 1098-7584
number of pages
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  • 10.1109/FUZZ-IEEE.2012.6251320
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  • IEEE Computer Society Press
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  • 978-1-4673-1506-7
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  • 15310
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