Fuzzy Galois Connections

Mathematical Logic Quarterly 45 (4):497-504 (1999)
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Abstract

The concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one-to-one correspondence with binary fuzzy relations. A representation of fuzzy Galois connections by Galois connections is provided

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10.1002/malq.19990450408

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Citations of this work

Concept lattices and order in fuzzy logic.Radim Bĕlohlávek - 2004 - Annals of Pure and Applied Logic 128 (1-3):277-298.
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A general approach to fuzzy concepts.Andrei Popescu - 2004 - Mathematical Logic Quarterly 50 (3):265-280.
Fuzzy Galois connections on fuzzy posets.Wei Yao & Ling-Xia Lu - 2009 - Mathematical Logic Quarterly 55 (1):105-112.
Fuzzy closure systems on L-ordered sets.Lankun Guo, Guo-Qiang Zhang & Qingguo Li - 2011 - Mathematical Logic Quarterly 57 (3):281-291.

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Metamathematics of Fuzzy Logic.Petr Hájek - 1998 - Dordrecht, Boston and London: Kluwer Academic Publishers.
On Fuzzy Logic I Many‐valued rules of inference.Jan Pavelka - 1979 - Mathematical Logic Quarterly 25 (3‐6):45-52.

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