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A construction of a fuzzy topology from a strong fuzzy metric

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A construction of a fuzzy topology from a strong fuzzy metric

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dc.contributor.author Grecova, Svetlana es_ES
dc.contributor.author Sostak, Alexander es_ES
dc.contributor.author Uljane, Ingrida es_ES
dc.date.accessioned 2016-10-20T09:42:13Z
dc.date.available 2016-10-20T09:42:13Z
dc.date.issued 2016-10-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/72381
dc.description.abstract [EN] After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology induced by a fuzzy metric. In most of the works devoted to this subject the resulting topology is an ordinary, that is a crisp one. Recently some researchers showed interest in the fuzzy-type topologies induced by fuzzy metrics. In particular, in the paper  (J.J. Mi\~{n}ana, A. \v{S}ostak, {\it Fuzzifying topology induced by a strong fuzzy metric}, Fuzzy Sets and Systems,  6938 DOI information: 10.1016/j.fss.2015.11.005.) a fuzzifying topology ${\mathcal T}:2^X \to [0,1]$ induced by a fuzzy metric  $m: X\times X \times [0,\infty)$ was constructed. In this paper we extend  this construction to get the fuzzy topology ${\mathcal T}: [0,1]^X \to [0,1]$ and study some properties of this fuzzy topology.54A es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Fuzzy pseudo metric es_ES
dc.subject Fuzzy metric es_ES
dc.subject Fuzzifying topology es_ES
dc.subject Fuzzy topology es_ES
dc.subject Lower semicontinuous functions es_ES
dc.subject Lowen $\omega$-functor es_ES
dc.title A construction of a fuzzy topology from a strong fuzzy metric es_ES
dc.type Artículo es_ES
dc.date.updated 2016-10-20T08:33:10Z
dc.identifier.doi 10.4995/agt.2016.4495
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Grecova, S.; Sostak, A.; Uljane, I. (2016). A construction of a fuzzy topology from a strong fuzzy metric. Applied General Topology. 17(2):105-116. https://doi.org/10.4995/agt.2016.4495 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2016.4495 es_ES
dc.description.upvformatpinicio 105 es_ES
dc.description.upvformatpfin 116 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 17
dc.description.issue 2
dc.identifier.eissn 1989-4147
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