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dc.contributor.authorCarmona, Neus
dc.contributor.authorElorza Barbajero, Jorge
dc.contributor.authorRecasens Ferrés, Jorge
dc.contributor.authorBragard, Jean
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
dc.date.accessioned2015-07-21T09:09:29Z
dc.date.available2016-07-20T00:30:36Z
dc.date.created2015-07-20
dc.date.issued2015-07-20
dc.identifier.citationCarmona, N., Elorza, J., Recasens, J., Bragard, J. Permutable fuzzy consequence and interior operators and their connection with fuzzy relations. "Information sciences", 20 Juliol 2015, p. 36-51.
dc.identifier.issn0020-0255
dc.identifier.urihttp://hdl.handle.net/2117/76237
dc.description.abstractFuzzy operators are an essential tool in many fields and the operation of composition is often needed. In general, composition is not a commutative operation. However, it is very useful to have operators for which the order of composition does not affect the result. In this paper, we analyze when permutability appears. That is, when the order of application of the operators does not change the outcome. We characterize permutability in the case of the composition of fuzzy consequence operators and the dual case of fuzzy interior operators. We prove that for these cases, permutability is completely connected to the preservation of the operator type.; We also study the particular case of fuzzy operators induced by fuzzy relations through Zadeh's compositional rule and the inf--> composition. For this cases, we connect permutability of the fuzzy relations (using the sup-* composition) with permutability of the induced operators. Special attention is paid to the cases of operators induced by fuzzy preorders and similarities. Finally, we use these results to relate the operator induced by the transitive closure of the composition of two reflexive fuzzy relations with the closure of the operator this composition induces.
dc.format.extent16 p.
dc.language.isoeng
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.otherPermutability
dc.subject.otherFuzzy consequence operator
dc.subject.otherFuzzy closure operator
dc.subject.otherFuzzy interior operator
dc.subject.otherFuzzy preorder
dc.subject.otherIndistinguishability relation
dc.subject.otherCO-Closure systems
dc.subject.otherRough sets
dc.subject.otherPreorders
dc.subject.otherLattice
dc.subject.otherMorphology
dc.subject.otherOpenings
dc.subject.otherLogic
dc.titlePermutable fuzzy consequence and interior operators and their connection with fuzzy relations
dc.typeArticle
dc.subject.lemacLògica difusa
dc.contributor.groupUniversitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.identifier.doi10.1016/j.ins.2015.03.017
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0020025515001826
dc.rights.accessOpen Access
local.identifier.drac15636574
dc.description.versionPostprint (author’s final draft)
local.citation.authorCarmona, N.; Elorza, J.; Recasens, J.; Bragard, J.
local.citation.publicationNameInformation sciences
local.citation.volume310
local.citation.startingPage36
local.citation.endingPage51


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