On completable fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2015 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 267, pages 133-139 (issn: 0165-0114,

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Authors: Valentín Gregori; Juan-José Miñana; Samuel Morillas;

doi: 10.1016/j.fss.2014.07.009

On completable fuzzy metric spaces

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Abstract

Juan Jose Minana acknowledges the support of Conselleria de Educacion, Formacion y Empleo (Programa Vali+d para investigadores en formacion) of Generalitat Valenciana, Spain and the support of Universitat Politecnica de Valencia under Grant PAID-06-12 SP20120471.

In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space is not strong (non-Archimedean).

Related Organizations

Universitat Politècnica de València
Spain

Keywords

Fuzzy topology, Fuzzy metric space, strong (non-Archimedean) fuzzy metric space, fuzzy metric completion, Strong (non-Archimedean) fuzzy metric space, Metric spaces, metrizability, fuzzy metric space, Fuzzy metric completion, MATEMATICA APLICADA

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