Fuzzy Galois connections categorically
Javier Gutiérrez García, Iraide Mardones-Pérez, M.A. de Prada Vicente, Dexue Zhang · Mathematical logic quarterly · 2010
This paper presents a systematic investigation of fuzzy (non-commutative) 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 (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)