Completable fuzzy metric spaces

Abstract

[EN] In the context of fuzzy metrics in the sense of George and Veeramani, we introduce the concept of stratified fuzzy metric. Many well-known fuzzy metrics are stratified. We prove that stratified strong fuzzy metric spaces (X, M, *) are completable, under the assumption that * is integral (positive). In particular, stratified fuzzy ultrametric spaces are completable. (C) 2017 Elsevier B.V. All rights reserved.Valentin Gregori acknowledges the support of the Spanish Ministry of Economy and Competitiveness under Grant MTM2015-64373-P.Gregori Gregori, V.; Miñana, J.; Sapena Piera, A. (2017). Completable fuzzy metric spaces. Topology and its Applications. 225:103-111. https://doi.org/10.1016/j.topol.2017.04.016S10311122