On some constructions of new triangular norms

We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other h...

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Detalles Bibliográficos
Autor: Mesiar, Radko
Tipo de recurso: artículo
Fecha de publicación:1995
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:2099/2607
Acceso en línea:https://hdl.handle.net/2099/2607
Access Level:acceso abierto
Palabra clave:Contraction
Dilatation
Ordinal sum
Triangular norm
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
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repository_id_str
spelling On some constructions of new triangular normsMesiar, RadkoContractionDilatationOrdinal sumTriangular normLògica difusaClassificació AMS::03 Mathematical logic and foundations::03E Set theoryWe discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica19951995-01-0120072007-04-03journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2099/2607reponame: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:2099/26072026-05-27T15:37:01Z
dc.title.none.fl_str_mv On some constructions of new triangular norms
title On some constructions of new triangular norms
spellingShingle On some constructions of new triangular norms
Mesiar, Radko
Contraction
Dilatation
Ordinal sum
Triangular norm
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
title_short On some constructions of new triangular norms
title_full On some constructions of new triangular norms
title_fullStr On some constructions of new triangular norms
title_full_unstemmed On some constructions of new triangular norms
title_sort On some constructions of new triangular norms
dc.creator.none.fl_str_mv Mesiar, Radko
author Mesiar, Radko
author_facet Mesiar, Radko
author_role author
dc.subject.none.fl_str_mv Contraction
Dilatation
Ordinal sum
Triangular norm
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
topic Contraction
Dilatation
Ordinal sum
Triangular norm
Lògica difusa
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
description We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01
2007
2007-04-03
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/2099/2607
url https://hdl.handle.net/2099/2607
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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