Generation and Characterization of Fuzzy T-preorders

This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy...

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Detalhes bibliográficos
Autores: Boixader Ibáñez, Dionís|||0000-0003-0177-0560, Recasens Ferrés, Jorge|||0000-0003-2304-0032
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/28527
Acesso em linha:https://hdl.handle.net/2117/28527
https://dx.doi.org/10.1080/08839514.2015.1026663
Access Level:acceso abierto
Palavra-chave:Fuzzy logic
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
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oai_identifier_str oai:upcommons.upc.edu:2117/28527
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repository_id_str
spelling Generation and Characterization of Fuzzy T-preordersBoixader Ibáñez, Dionís|||0000-0003-0177-0560Recasens Ferrés, Jorge|||0000-0003-2304-0032Fuzzy logicLògica difusaÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàticaThis article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy subsets generating the same T-preorder is given, and one-dimensional T-preorders are characterized in two different ways: They generate linear crisp orderings on X and they satisfy a Sincov-like functional equation. This last characterization is used to approximate a given T-preorder by a one-dimensional one by relating the issue to Saaty matrices used in the Analytical Hierarchical Process. Finally, strong complete T-preorders, important in decision-making problems, are also characterized.Peer Reviewed20152015-05-2820152015-07-07journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/28527https://dx.doi.org/10.1080/08839514.2015.1026663reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/285272026-05-27T15:37:01Z
dc.title.none.fl_str_mv Generation and Characterization of Fuzzy T-preorders
title Generation and Characterization of Fuzzy T-preorders
spellingShingle Generation and Characterization of Fuzzy T-preorders
Boixader Ibáñez, Dionís|||0000-0003-0177-0560
Fuzzy logic
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
title_short Generation and Characterization of Fuzzy T-preorders
title_full Generation and Characterization of Fuzzy T-preorders
title_fullStr Generation and Characterization of Fuzzy T-preorders
title_full_unstemmed Generation and Characterization of Fuzzy T-preorders
title_sort Generation and Characterization of Fuzzy T-preorders
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
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
topic Fuzzy logic
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
description This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy subsets generating the same T-preorder is given, and one-dimensional T-preorders are characterized in two different ways: They generate linear crisp orderings on X and they satisfy a Sincov-like functional equation. This last characterization is used to approximate a given T-preorder by a one-dimensional one by relating the issue to Saaty matrices used in the Analytical Hierarchical Process. Finally, strong complete T-preorders, important in decision-making problems, are also characterized.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-05-28
2015
2015-07-07
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/2117/28527
https://dx.doi.org/10.1080/08839514.2015.1026663
url https://hdl.handle.net/2117/28527
https://dx.doi.org/10.1080/08839514.2015.1026663
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
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
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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