Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships

dc.contributor.authorRuiz, Gonzalo
dc.contributor.authorHagras, Hani
dc.contributor.authorPomares, Héctor
dc.contributor.authorRojas, Ignacio
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentAutomática y Computaciónes_ES
dc.contributor.departmentAutomatika eta Konputazioaeu
dc.date.accessioned2019-04-03T07:22:25Z
dc.date.available2019-04-03T07:22:25Z
dc.date.issued2016
dc.description.abstractIn this paper we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be non-convex and/or non-normal type-1 fuzzy sets. These results will be used to derive the join and meet operations of the more general descriptions of interval type-2 fuzzy sets presented in [1], where the secondary grades can be non-convex. Hence, this work will help to explore the potential of type-2 fuzzy logic systems which use the general forms of interval type-2 fuzzy sets which are not equivalent to interval valued fuzzy sets. Several examples for both general type-2 and the more general forms of interval type-2 fuzzy sets are presented.en
dc.description.sponsorshipThis work was supported in part by the Spanish Ministry of Science and Technology under project TIN2013-40765-Pen
dc.format.extent9 p.
dc.format.mimetypeapplication/pdfen
dc.identifier.citationG. Ruiz, H. Hagras, H. Pomares, I. Rojas and H. Bustince, "Join and Meet Operations for Type-2 Fuzzy Sets With Nonconvex Secondary Memberships," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 4, pp. 1000-1008, 1 Aug. 2016. doi: 10.1109/TFUZZ.2015.2489242en
dc.identifier.doi10.1109/TFUZZ.2015.2489242
dc.identifier.issn1063-6706 (Print)
dc.identifier.issn1941-0034 (Electronic)
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/32796
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIEEE Transactions on Fuzzy Systems, vol. 24, no. 4, August 2016en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//TIN2013-40765-P/ES/
dc.relation.publisherversionhttps://doi.org/10.1109/TFUZZ.2015.2489242
dc.rights© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other worken
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectGeneral type-2 fuzzy logicen
dc.subjectNonconvex fuzzy setsen
dc.subjectType-2 fuzzy logicen
dc.titleJoin and meet operations for type-2 fuzzy sets with non-convex secondary membershipsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscovery1bdd7a0e-704f-48e5-8d27-4486444f82c9

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