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Fuzzy Galois connections categorically

✍ Scribed by Javier Gutiérrez García; Iraide Mardones-Pérez; María Angeles de Prada Vicente; Dexue Zhang

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
193 KB
Volume
56
Category
Article
ISSN
0044-3050

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✦ Synopsis

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.

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