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dc.contributor.authorMassanet, Sebastià
dc.contributor.authorRecasens Ferrés, Jorge
dc.contributor.authorTorrens Serra, Joan
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura
dc.date.accessioned2019-05-09T10:40:50Z
dc.date.issued2019-03-15
dc.identifier.citationMassanet, S.; Recasens, J.; Torrens Serra, J. Some characterizations of T-power based implications. "Fuzzy sets and systems", 15 Març 2019, vol. 359, p. 42-62.
dc.identifier.issn0165-0114
dc.identifier.urihttp://hdl.handle.net/2117/132787
dc.description.abstractRecently, the so-called family of T-power based implications was introduced. These operators involve the use of Zadeh’s quantifiers based on powers of t-norms in its definition. Due to the fact that Zadeh’s quantifiers constitute the usual method to modify fuzzy propositions, this family of fuzzy implication functions satisfies an important property in approximate reasoning such as the invariance of the truth value of the fuzzy conditional when both the antecedent and the consequent are modified using the same quantifier. In this paper, an in-depth analysis of this property is performed by characterizing all binary functions satisfying it. From this general result, a fully characterization of the family of T-power based implications is presented. Furthermore, a second characterization is also proved in which surprisingly the invariance property is not explicitly used.
dc.format.extent21 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
dc.subject.lcshFuzzy logic
dc.subject.otherFuzzy implication function
dc.subject.otherT-power based implications
dc.subject.otherInvariance property
dc.subject.othercontinuous t-norm
dc.subject.otherpowers of t-norms
dc.titleSome characterizations of T-power based implications
dc.typeArticle
dc.subject.lemacLògica difusa
dc.identifier.doi10.1016/j.fss.2018.08.007
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S016501141830513X
dc.rights.accessRestricted access - publisher's policy
drac.iddocument23331141
dc.description.versionPostprint (author's final draft)
dc.date.lift2021-03-15
upcommons.citation.authorMassanet, S.; Recasens, J.; Torrens Serra, Joan
upcommons.citation.publishedtrue
upcommons.citation.publicationNameFuzzy sets and systems
upcommons.citation.volume359
upcommons.citation.startingPage42
upcommons.citation.endingPage62


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