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 relatio
Non-commutative fuzzy Galois connections
✍ Scribed by G. Georgescu; A. Popescu
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 295 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1432-7643
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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
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