A technique for fuzzifying metric spaces via metric preserving mappings

Gregori, V.; Miñana, J.J.; Valero, O.

dc.contributor.author	Gregori, V.
dc.contributor.author	Miñana, J.J.
dc.contributor.author	Valero, O.
dc.date.accessioned	2020-04-03T06:47:14Z
dc.date.available	2020-04-03T06:47:14Z
dc.identifier.uri	http://hdl.handle.net/11201/151927
dc.description.abstract	[eng] 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. Dobo\v{s}. 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.
dc.format	application/pdf
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1016/j.fss.2017.07.022
dc.relation.ispartof	Fuzzy Sets and Systems, 2018, vol. 330, p. 1-15
dc.subject.classification	004 - Informàtica
dc.subject.classification	51 - Matemàtiques
dc.subject.other	004 - Computer Science and Technology. Computing. Data processing
dc.subject.other	51 - Mathematics
dc.title	A technique for fuzzifying metric spaces via metric preserving mappings
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.date.updated	2020-04-03T06:47:14Z
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.1016/j.fss.2017.07.022