Salvador Romaguera

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We propose a method for constructing a Hausdor$ fuzzy metric on the set of the nonempty compact subsets of a given fuzzy metric space (in the sense of George and Veeramani). We discuss several important properties as completeness, completion and precompactness. Some illustrative examples are given. c © 2003 Elsevier B.V. All rights reserved. MSC: 54A40;(More)
Completions of fuzzy metric spaces (in the sense of George and Veeramani) are discussed. A complete fuzzy metric space Y is said to be a fuzzy metric completion of a given fuzzy metric space X if X is isometric to a dense subspace of Y . We present an example of a fuzzy metric space that does not admit any fuzzy metric completion. However, we prove that(More)
In [Sch00] a bijection has been established, for the case of semilattices, between invariant partial metrics and semivaluations. Semivaluations are a natural generalization of valuations on lattices to the context of semilattices and arise in many different contexts in Quantitative Domain Theory ([Sch00]). Examples of well known spaces which are(More)