Mathematical Logic Quarterly 56 (2):131-147 (2010)

Abstract
This paper presents a systematic investigation of fuzzy Galois connections in the sense of R. Bělohlávek [1], from the point of view of enriched category theory. The results obtained show that the theory of enriched categories makes it possible to present the theory of fuzzy Galois connections in a succinct way; and more importantly, it provides a useful method to express and to study the link and the difference between the commutative and the non-commutative worlds
Keywords Unital quantale  Girard quantale  Ω‐adjunction  covariant fuzzy Galois connection  Ω‐relation  category enriched over a unital quantale  contravariant fuzzy Galois connection
Categories No categories specified
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DOI 10.1002/malq.200810044
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References found in this work BETA

Quantales and (Noncommutative) Linear Logic.David N. Yetter - 1990 - Journal of Symbolic Logic 55 (1):41-64.
Fuzzy Galois Connections.Radim Bêlohlávek - 1999 - Mathematical Logic Quarterly 45 (4):497-504.
Concept Lattices and Order in Fuzzy Logic.Radim Bĕlohlávek - 2004 - Annals of Pure and Applied Logic 128 (1-3):277-298.
Non-Dual Fuzzy Connections.George Georgescu & Andrei Popescu - 2004 - Archive for Mathematical Logic 43 (8):1009-1039.

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