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
Fuzzy Galois connections on fuzzy posets
✍ Scribed by Wei Yao; Ling-Xia Lu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 103 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
Abstract
The concept of fuzzy Galois connections is defined on fuzzy posets with Bělohlávek's fuzzy Galois connections as a special case. The properties of fuzzy Galois connections are investigated. Then the relations between fuzzy Galois connections and fuzzy closure operators, fuzzy interior operators are studied. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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