tlooto
Sign up
MathematicsComputer Science

Fuzzy Galois Connections

R. Belohlávek

1999MATHEMATICAL LOGIC QUARTERLY

DOI: 10.1002/malq.19990450408

tlooto Summary

It is proved that fuzzy Galois connections are in one‐to‐one correspondence with binary fuzzy relations.

Abstract

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.

Citation format

BELOHLÁVEK, R. Fuzzy galois connections. MATHEMATICAL LOGIC QUARTERLY, 1999, 45.