Measures of embedding for interval-valued fuzzy sets

Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership de...

Descripción completa

Detalles Bibliográficos
Autores: Bouchet, Agustina, Sesma Sara, Mikel, Ochoa Lezaun, Gustavo, Bustince Sola, Humberto, Montes Rodríguez, Susana, Díaz, Irene
Tipo de recurso: artículo
Estado:Versión publicada
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:2454/46015
Acceso en línea:https://hdl.handle.net/2454/46015
Access Level:acceso abierto
Palabra clave:Embedding
Inclusion
Interval-valued fuzzy sets
id ES_2a17d41ff4e47a33ea1cc2392cce8241
oai_identifier_str oai:academica-e.unavarra.es:2454/46015
network_acronym_str ES
network_name_str España
repository_id_str
spelling Measures of embedding for interval-valued fuzzy setsBouchet, AgustinaSesma Sara, MikelOchoa Lezaun, GustavoBustince Sola, HumbertoMontes Rodríguez, SusanaDíaz, IreneEmbeddingInclusionInterval-valued fuzzy setsInterval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to compare the precision of two interval-valued fuzzy sets. An axiomatic definition for this concept as well as a construction method are provided. The construction method is based on aggregation operators and the concept of interval embedding, which is also introduced and deeply studied.Authors would like to thank for the support of the Spanish Ministry of Science and Technology project TIN2017-87600-P (I. Díaz and A. Bouchet), the Spanish Ministry of Science and Technology projects PGC2018-098623-B-I00 (S. Montes) and PID2019-108392GBI00(AEI/10.13039/501100011033) (H. Bustince, G. Ochoa, M. Sesma-Sara).ElsevierEstadística, Informática y MatemáticasEstatistika, Informatika eta Matematika2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2454/46015reponame: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 2013-2016/TIN2017-87600-Pinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098623-B-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00© 2023 The Author(s). This is an open access article under the CC BY-NC-ND license.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/460152026-06-17T12:41:47Z
dc.title.none.fl_str_mv Measures of embedding for interval-valued fuzzy sets
title Measures of embedding for interval-valued fuzzy sets
spellingShingle Measures of embedding for interval-valued fuzzy sets
Bouchet, Agustina
Embedding
Inclusion
Interval-valued fuzzy sets
title_short Measures of embedding for interval-valued fuzzy sets
title_full Measures of embedding for interval-valued fuzzy sets
title_fullStr Measures of embedding for interval-valued fuzzy sets
title_full_unstemmed Measures of embedding for interval-valued fuzzy sets
title_sort Measures of embedding for interval-valued fuzzy sets
dc.creator.none.fl_str_mv Bouchet, Agustina
Sesma Sara, Mikel
Ochoa Lezaun, Gustavo
Bustince Sola, Humberto
Montes Rodríguez, Susana
Díaz, Irene
author Bouchet, Agustina
author_facet Bouchet, Agustina
Sesma Sara, Mikel
Ochoa Lezaun, Gustavo
Bustince Sola, Humberto
Montes Rodríguez, Susana
Díaz, Irene
author_role author
author2 Sesma Sara, Mikel
Ochoa Lezaun, Gustavo
Bustince Sola, Humberto
Montes Rodríguez, Susana
Díaz, Irene
author2_role 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 Embedding
Inclusion
Interval-valued fuzzy sets
topic Embedding
Inclusion
Interval-valued fuzzy sets
description Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to compare the precision of two interval-valued fuzzy sets. An axiomatic definition for this concept as well as a construction method are provided. The construction method is based on aggregation operators and the concept of interval embedding, which is also introduced and deeply studied.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/46015
url https://hdl.handle.net/2454/46015
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 2013-2016/TIN2017-87600-P
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098623-B-I00
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 © 2023 The Author(s). This is an open access article under the CC BY-NC-ND license.
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2023 The Author(s). This is an open access article under the CC BY-NC-ND license.
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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_ 1869405048190009344
score 15,300719

Similares en LA Referencia