The notion of fuzzy subgroup is a multi-valued extension of the one of subgroup. The notion of similarity is a multi-valued extension of the one of equivalence. In the paper, given a nonempty set S, we define Galois connections between the lattices of the fuzzy subgroups of transformations in S, the lattice of the similarities in S and the lattice of the distances in S.
Similarities, Fuzzy Groups: a Galois Connection
GERLA, Giangiacomo;
2004-01-01
Abstract
The notion of fuzzy subgroup is a multi-valued extension of the one of subgroup. The notion of similarity is a multi-valued extension of the one of equivalence. In the paper, given a nonempty set S, we define Galois connections between the lattices of the fuzzy subgroups of transformations in S, the lattice of the similarities in S and the lattice of the distances in S.File in questo prodotto:
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