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From restricted equivalence functions on Ln to similarity measures between fuzzy multisets

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dc.contributor.authorFerrero Jaurrieta, Mikel
dc.contributor.authorTakáč, Zdenko
dc.contributor.authorRodríguez Martínez, Iosu
dc.contributor.authorMarco Detchart, Cedric
dc.contributor.authorBernardini, Ángela
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.authorLópez Molina, Carlos
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2023-05-05T06:58:07Z
dc.date.available2023-05-05T06:58:07Z
dc.date.issued2023
dc.date.updated2023-05-05T06:47:44Z
dc.description.abstractRestricted equivalence functions are well-known functions to compare two numbers in the interval between 0 and 1. Despite the numerous works studying the properties of restricted equivalence functions and their multiple applications as support for different similarity measures, an extension of these functions to an n-dimensional space is absent from the literature. In this paper, we present a novel contribution to the restricted equivalence function theory, allowing to compare multivalued elements. Specifically, we extend the notion of restricted equivalence functions from L to L n and present a new similarity construction on L n . Our proposal is tested in the context of color image anisotropic diffusion as an example of one of its many applications.en
dc.description.sponsorshipThe authors gratefully acknowledge the financial support of the grant PID2019-108392GB-I00 funded by MCIN/AEI/10.13039/50110001103, as well as grant VEGA 1/0545/20. Also, the financial support of Consellería d’Innovacio, Universitats, Ciencia i Societat Digital from Comunitat Valenciana (APOSTD/2021/227) and the European Social Fund (Investing In Your Future) and to Tracasa Instrumental and the Immigration Policy and Justice Department of the Government of Navarre.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFerrero-Jaurrieta, M., Takac, Z., Rodríguez-Martínez, I., Marco-Detchart, C., Bernardini, A., Fernández-Fernández, J., Lopez-Molina, C., Bustince, H. (2023) From restricted equivalence functions on Ln to similarity measures between fuzzy multisets. IEEE Transactions on Fuzzy Systems, 1-14. https://doi.org/10.1109/TFUZZ.2023.3235405.en
dc.identifier.doi10.1109/TFUZZ.2023.3235405
dc.identifier.issn1063-6706
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/45222
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIEEE Transactions on Fuzzy Systems, 1-14en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/en
dc.relation.publisherversionhttps://doi.org/10.1109/TFUZZ.2023.3235405
dc.rights© 2023 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.subjectAnisotropic diffusionen
dc.subjectColoren
dc.subjectColor imageen
dc.subjectFuzzy multiseten
dc.subjectFuzzy set theoryen
dc.subjectFuzzy setsen
dc.subjectImage color analysisen
dc.subjectProposalsen
dc.subjectRestricted equivalence functionen
dc.subjectSimilarity measureen
dc.subjectTask analysisen
dc.subjectTaxonomyen
dc.titleFrom restricted equivalence functions on Ln to similarity measures between fuzzy multisetsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
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