On the degree of transitivity of a fuzzy relation

Considering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of new families of t-norms to generate different degrees of transitivity with respe...

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Detalhes bibliográficos
Autores: Boixader Ibáñez, Dionís|||0000-0003-0177-0560, Recasens Ferrés, Jorge|||0000-0003-2304-0032
Tipo de documento: artigo
Data de publicação:2021
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/366094
Acesso em linha:https://hdl.handle.net/2117/366094
https://dx.doi.org/10.1016/j.fss.2021.09.006
Access Level:Acceso aberto
Palavra-chave:Fuzzy logic
T-norm
Archimedean t-norm
Fuzzy relation
T-transitivity
Degree of transitivity
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
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network_acronym_str ES
network_name_str España
repository_id_str
spelling On the degree of transitivity of a fuzzy relationBoixader Ibáñez, Dionís|||0000-0003-0177-0560Recasens Ferrés, Jorge|||0000-0003-2304-0032Fuzzy logicT-normArchimedean t-normFuzzy relationT-transitivityDegree of transitivityLògica difusaÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàticaConsidering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of new families of t-norms to generate different degrees of transitivity with respect to them. The mappings transforming fuzzy relations into transitive fuzzy relations smaller than or equal to the given ones are studied.Peer Reviewed20212021-01-0120222022-04-20journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/366094https://dx.doi.org/10.1016/j.fss.2021.09.006reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3660942026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the degree of transitivity of a fuzzy relation
title On the degree of transitivity of a fuzzy relation
spellingShingle On the degree of transitivity of a fuzzy relation
Boixader Ibáñez, Dionís|||0000-0003-0177-0560
Fuzzy logic
T-norm
Archimedean t-norm
Fuzzy relation
T-transitivity
Degree of transitivity
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
title_short On the degree of transitivity of a fuzzy relation
title_full On the degree of transitivity of a fuzzy relation
title_fullStr On the degree of transitivity of a fuzzy relation
title_full_unstemmed On the degree of transitivity of a fuzzy relation
title_sort On the degree of transitivity of a fuzzy relation
dc.creator.none.fl_str_mv Boixader Ibáñez, Dionís|||0000-0003-0177-0560
Recasens Ferrés, Jorge|||0000-0003-2304-0032
author Boixader Ibáñez, Dionís|||0000-0003-0177-0560
author_facet Boixader Ibáñez, Dionís|||0000-0003-0177-0560
Recasens Ferrés, Jorge|||0000-0003-2304-0032
author_role author
author2 Recasens Ferrés, Jorge|||0000-0003-2304-0032
author2_role author
dc.subject.none.fl_str_mv Fuzzy logic
T-norm
Archimedean t-norm
Fuzzy relation
T-transitivity
Degree of transitivity
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
topic Fuzzy logic
T-norm
Archimedean t-norm
Fuzzy relation
T-transitivity
Degree of transitivity
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
description Considering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of new families of t-norms to generate different degrees of transitivity with respect to them. The mappings transforming fuzzy relations into transitive fuzzy relations smaller than or equal to the given ones are studied.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
2022
2022-04-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/366094
https://dx.doi.org/10.1016/j.fss.2021.09.006
url https://hdl.handle.net/2117/366094
https://dx.doi.org/10.1016/j.fss.2021.09.006
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.198674

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