A technique for fuzzifying metric spaces via metric preserving mappings

[EN] In this paper we develop a new technique for constructing fuzzy metric spaces, in the sense of George and Veeramani, from metric spaces and by means of the Lukasievicz t-norm. In particular such a technique is based on the use of metric preserving functions in the sense of J. Dobos. Besides, the new generated fuzzy metric spaces are strong and completable, and if we add an extra condition, they are principal. Appropriate examples of such fuzzy metric spaces are given in order to illustrate the exposed technique.Valentín Gregori acknowledges the support of the Spanish Ministry of Economy and Competitiveness under Grant MTM2015-64373-P (MINECO/FEDER, UE). Oscar Valero acknowledges the support of the Spanish Ministry of Economy and Competitiveness under Grants TIN2014-56381-REDT (LODISCO), TIN2016-81731-REDT (LODISCO II) and AEI/FEDER, UE funds.Gregori Gregori, V.; Miñana, J.; Valero Sierra, Ó. (2018). A technique for fuzzifying metric spaces via metric preserving mappings. Fuzzy Sets and Systems. 330:1-15. https://doi.org/10.1016/j.fss.2017.07.022S11533