Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals

The addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based addition. Some examples are given.

Detalles Bibliográficos
Autor: Kolesárová, Anna
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3506
Acceso en línea:https://hdl.handle.net/2099/3506
Access Level:acceso abierto
Palabra clave:Fuzzy interval
Linear fuzzy interval
Triangular norm
Conjunts, Teoria de
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
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repository_id_str
spelling Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervalsKolesárová, AnnaFuzzy intervalLinear fuzzy intervalTriangular normConjunts, Teoria deLògica difusaClassificació AMS::03 Mathematical logic and foundations::03E Set theoryThe addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based addition. Some examples are given.Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica19981998-01-0120072007-09-18journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2099/3506reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099/35062026-05-27T15:37:01Z
dc.title.none.fl_str_mv Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
title Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
spellingShingle Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
Kolesárová, Anna
Fuzzy interval
Linear fuzzy interval
Triangular norm
Conjunts, Teoria de
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
title_short Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
title_full Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
title_fullStr Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
title_full_unstemmed Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
title_sort Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
dc.creator.none.fl_str_mv Kolesárová, Anna
author Kolesárová, Anna
author_facet Kolesárová, Anna
author_role author
dc.subject.none.fl_str_mv Fuzzy interval
Linear fuzzy interval
Triangular norm
Conjunts, Teoria de
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
topic Fuzzy interval
Linear fuzzy interval
Triangular norm
Conjunts, Teoria de
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
description The addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based addition. Some examples are given.
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-01-01
2007
2007-09-18
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099/3506
url https://hdl.handle.net/2099/3506
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

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

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
publisher.none.fl_str_mv Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
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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