- -

Relaxed metrics and indistinguishability operators: the relationship

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

Relaxed metrics and indistinguishability operators: the relationship

Show simple item record

Files in this item

dc.contributor.author Fuster-Parra, P. es_ES
dc.contributor.author Martín, Javier es_ES
dc.contributor.author Miñana, J.J. es_ES
dc.contributor.author Valero, O. es_ES
dc.date.accessioned 2019-10-11T09:23:25Z
dc.date.available 2019-10-11T09:23:25Z
dc.date.issued 2017-10-23
dc.identifier.isbn 9788490485996
dc.identifier.uri http://hdl.handle.net/10251/128028
dc.description.abstract [EN] In 1982, the notion of indistinguishability operator was introduced by E. Trillas in order to fuzzify the crisp notion of equivalence relation (\cite{Trillas}). In the study of such a class of operators, an outstanding property must be pointed out. Concretely, there exists a duality relationship between indistinguishability operators and metrics. The aforesaid relationship was deeply studied by several authors that introduced a few techniques to generate metrics from indistinguishability operators and vice-versa (see, for instance, \cite{BaetsMesiar,BaetsMesiar2}). In the last years a new generalization of the metric notion has been introduced in the literature with the purpose of developing mathematical tools for quantitative models in Computer Science and Artificial Intelligence (\cite{BKMatthews,Ma}). The aforementioned generalized metrics are known as relaxed metrics. The main target of this talk is to present a study of the duality relationship between indistinguishability operators and relaxed metrics in such a way that the aforementioned classical techniques to generate both concepts, one from the other, can be extended to the new framework. es_ES
dc.description.sponsorship This research was funded by the Spanish Ministry of Economy and Competitiveness under Grants TIN2014-56381-REDT (LODISCO), TIN2016-81731-REDT (LODISCO II) and AEI/FEDER, UE funds es_ES
dc.format.extent 8 es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València es_ES
dc.relation info:eu-repo/grantAgreement/MINECO//TIN2014-56381-REDT/ES/LOGICA DIFUSA Y SOFT COMPUTING/ es_ES
dc.relation MINECO/TIN2016-81731-REDT es_ES
dc.relation.ispartof Proceedings of the Workshop on Applied Topological Structures es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Additive generator es_ES
dc.subject Continuous Archimedean t-norm es_ES
dc.subject Relaxed indistinguishability operator es_ES
dc.subject Relaxed (pseudo-)metric es_ES
dc.title Relaxed metrics and indistinguishability operators: the relationship es_ES
dc.type Capítulo de libro es_ES
dc.type Comunicación en congreso es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Fuster-Parra, P.; Martín, J.; Miñana, J.; Valero, O. (2017). Relaxed metrics and indistinguishability operators: the relationship. En Proceedings of the Workshop on Applied Topological Structures. Editorial Universitat Politècnica de València. 47-54. http://hdl.handle.net/10251/128028 es_ES
dc.description.accrualMethod OCS es_ES
dc.relation.conferencename Workshop Applied Topological Structures WATS'17 es_ES
dc.relation.conferencedate Julio 11-12, 2017 es_ES
dc.relation.conferenceplace Valencia, Spain es_ES
dc.relation.publisherversion http://ocs.editorial.upv.es/index.php/WATS/WATS17/paper/view/6689 es_ES
dc.description.upvformatpinicio 47 es_ES
dc.description.upvformatpfin 54 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.relation.pasarela OCS\6689 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


This item appears in the following Collection(s)

Show simple item record