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

Versión resumida en castellano: https://academica-e.unavarra.es/handle/2454/53327

Detalles Bibliográficos
Autores: Ferrero Jaurrieta, Mikel, Takáč, Zdenko, Rodríguez Martínez, Iosu, Marco Detchart, Cedric, Bernardini, Ángela, Fernández Fernández, Francisco Javier, López Molina, Carlos, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/45222
Acceso en línea:https://hdl.handle.net/2454/45222
Access Level:acceso abierto
Palabra clave:Anisotropic diffusion
Color
Color image
Fuzzy multiset
Fuzzy set theory
Fuzzy sets
Image color analysis
Proposals
Restricted equivalence function
Similarity measure
Task analysis
Taxonomy
id ES_d583c341b2c774ded1eb7441f02e115b
oai_identifier_str oai:academica-e.unavarra.es:2454/45222
network_acronym_str ES
network_name_str España
repository_id_str
spelling From restricted equivalence functions on Ln to similarity measures between fuzzy multisetsFerrero Jaurrieta, MikelTakáč, ZdenkoRodríguez Martínez, IosuMarco Detchart, CedricBernardini, ÁngelaFernández Fernández, Francisco JavierLópez Molina, CarlosBustince Sola, HumbertoAnisotropic diffusionColorColor imageFuzzy multisetFuzzy set theoryFuzzy setsImage color analysisProposalsRestricted equivalence functionSimilarity measureTask analysisTaxonomyVersión resumida en castellano: https://academica-e.unavarra.es/handle/2454/53327Restricted 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.The 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.IEEEEstadística, Informática y MatemáticasEstatistika, Informatika eta Matematika2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/45222reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00© 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 workinfo:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/452222026-06-17T12:41:47Z
dc.title.none.fl_str_mv From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
title From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
spellingShingle From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
Ferrero Jaurrieta, Mikel
Anisotropic diffusion
Color
Color image
Fuzzy multiset
Fuzzy set theory
Fuzzy sets
Image color analysis
Proposals
Restricted equivalence function
Similarity measure
Task analysis
Taxonomy
title_short From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
title_full From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
title_fullStr From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
title_full_unstemmed From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
title_sort From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
dc.creator.none.fl_str_mv Ferrero Jaurrieta, Mikel
Takáč, Zdenko
Rodríguez Martínez, Iosu
Marco Detchart, Cedric
Bernardini, Ángela
Fernández Fernández, Francisco Javier
López Molina, Carlos
Bustince Sola, Humberto
author Ferrero Jaurrieta, Mikel
author_facet Ferrero Jaurrieta, Mikel
Takáč, Zdenko
Rodríguez Martínez, Iosu
Marco Detchart, Cedric
Bernardini, Ángela
Fernández Fernández, Francisco Javier
López Molina, Carlos
Bustince Sola, Humberto
author_role author
author2 Takáč, Zdenko
Rodríguez Martínez, Iosu
Marco Detchart, Cedric
Bernardini, Ángela
Fernández Fernández, Francisco Javier
López Molina, Carlos
Bustince Sola, Humberto
author2_role author
author
author
author
author
author
author
dc.contributor.none.fl_str_mv Estadística, Informática y Matemáticas
Estatistika, Informatika eta Matematika
dc.subject.none.fl_str_mv Anisotropic diffusion
Color
Color image
Fuzzy multiset
Fuzzy set theory
Fuzzy sets
Image color analysis
Proposals
Restricted equivalence function
Similarity measure
Task analysis
Taxonomy
topic Anisotropic diffusion
Color
Color image
Fuzzy multiset
Fuzzy set theory
Fuzzy sets
Image color analysis
Proposals
Restricted equivalence function
Similarity measure
Task analysis
Taxonomy
description Versión resumida en castellano: https://academica-e.unavarra.es/handle/2454/53327
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/45222
url https://hdl.handle.net/2454/45222
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420709170642944
score 15.811543

Similares en LA Referencia