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Fuzzy Galois Connections

✍ Scribed by Radim Bêlohlávek

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
482 KB
Volume
45
Category
Article
ISSN
0044-3050

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✦ Synopsis

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 relations. A representation of fuzzy Galois connections by (classical) Galois connections is provided.

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