Abstract Let L be a residuated lattice. Then, given a monoid M, we define a Galois connection from the lattice of the compatible L-preorders in M and the lattice of L-submonoids of M. Given a nonempty set S we define a Galois connection between the lattice of the L-preorders in S and the lattice of L-submonoids of the monoid of the functions from S to S). A link with the notion of quasi-metric is also established.
Fuzzy submonoids, fuzzy preorders and quasi-metrics
GERLA, Giangiacomo
2006
Abstract
Abstract Let L be a residuated lattice. Then, given a monoid M, we define a Galois connection from the lattice of the compatible L-preorders in M and the lattice of L-submonoids of M. Given a nonempty set S we define a Galois connection between the lattice of the L-preorders in S and the lattice of L-submonoids of the monoid of the functions from S to S). A link with the notion of quasi-metric is also established.File in questo prodotto:
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