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From fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measures

dc.creatorCouso, Inéses_ES
dc.creatorBustince Sola, Humbertoes_ES
dc.date.accessioned2020-01-13T13:09:22Z
dc.date.available2020-01-13T13:09:22Z
dc.date.issued2019
dc.identifier.citationI. Couso and H. Bustince, 'From Fuzzy Sets to Interval-Valued and Atanassov Intuitionistic Fuzzy Sets: A Unified View of Different Axiomatic Measures,' in IEEE Transactions on Fuzzy Systems, vol. 27, no. 2, pp. 362-371, Feb. 2019.en
dc.identifier.issn1063-6706
dc.identifier.urihttps://hdl.handle.net/2454/36051
dc.description.abstractWe examine a broad collection of axiomatic definitions from various and diverse contexts, within the domain of fuzzy sets. We evaluate their respective extensions to the case of interval-valued fuzzy sets and intuitionistic fuzzy sets, from a purely formal point of view. We conclude that a large number of such extensions follow similar formal procedures This fact allows us to formulate a general procedure which encompasses all the reviewed extensions as particular cases of it. The new general formulation allows us to identify three different procedures to derive the corresponding extension to the field of interval-valued fuzzy sets or to the field of intuitionistic fuzzy sets from a specific real-valued measure in the context of fuzzy sets. These three processes agglutinate a multitude of particular constructions found in the literature.en
dc.description.sponsorshipThis work is partially supported by TIN2014-56967-R, TIN2016-77356-P, TIN2017-84804-R (Spanish Ministry of Science and Innovation) and FC-15-GRUPIN14-073 (Regional Ministry of the Principality of Asturias).en
dc.format.extent10 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIEEE Transactions on Fuzzy Systems, 27 (2), 362-371, 2019en
dc.rights© 2019 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.subjectInterval-valued fuzzy setsen
dc.subjectAtanassov intuitionistic fuzzy setsen
dc.subjectExtensions of fuzzy setsen
dc.titleFrom fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measuresen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCes_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1109/TFUZZ.2018.2855654
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//TIN2014-56967-R/ES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84804-R/ES/en
dc.relation.publisherversionhttps://doi.org/10.1109/TFUZZ.2018.2855654
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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