Fuzzy implication functions based on powers of continuous t-norms

The modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy “If, Then” conditional is an important asset for an expert in order to agree with it. The usual method to modify fuzzy propositions is the use of Zadeh's quantifiers based on powers of t-norms. Howev...

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Detalhes bibliográficos
Autores: Massanet, Sebastià, Recasens Ferrés, Jorge|||0000-0003-2304-0032, Torrens, Joan
Formato: artículo
Fecha de publicación:2017
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:2117/104276
Acesso em linha:https://hdl.handle.net/2117/104276
https://dx.doi.org/10.1016/j.ijar.2017.01.014
Access Level:acceso abierto
Palavra-chave:Fuzzy logic
Fuzzy implication function
Continuous t-norm
Powers of t-norms
Fuzzy negation
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
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oai_identifier_str oai:upcommons.upc.edu:2117/104276
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repository_id_str
spelling Fuzzy implication functions based on powers of continuous t-normsMassanet, SebastiàRecasens Ferrés, Jorge|||0000-0003-2304-0032Torrens, JoanFuzzy logicFuzzy implication functionContinuous t-normPowers of t-normsFuzzy negationLògica difusaÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàticaThe modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy “If, Then” conditional is an important asset for an expert in order to agree with it. The usual method to modify fuzzy propositions is the use of Zadeh's quantifiers based on powers of t-norms. However, the invariance of the truth value of the fuzzy conditional would be a desirable property when both the antecedent and the consequent are modified using the same quantifier. In this paper, a novel family of fuzzy implication functions based on powers of continuous t-norms which ensure the aforementioned property is presented. Other important additional properties are analyzed and from this study, it is proved that they do not intersect the most well-known classes of fuzzy implication functions.Peer Reviewed20172017-04-0120172017-05-10journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/104276https://dx.doi.org/10.1016/j.ijar.2017.01.014reponame: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:2117/1042762026-05-27T15:37:01Z
dc.title.none.fl_str_mv Fuzzy implication functions based on powers of continuous t-norms
title Fuzzy implication functions based on powers of continuous t-norms
spellingShingle Fuzzy implication functions based on powers of continuous t-norms
Massanet, Sebastià
Fuzzy logic
Fuzzy implication function
Continuous t-norm
Powers of t-norms
Fuzzy negation
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
title_short Fuzzy implication functions based on powers of continuous t-norms
title_full Fuzzy implication functions based on powers of continuous t-norms
title_fullStr Fuzzy implication functions based on powers of continuous t-norms
title_full_unstemmed Fuzzy implication functions based on powers of continuous t-norms
title_sort Fuzzy implication functions based on powers of continuous t-norms
dc.creator.none.fl_str_mv Massanet, Sebastià
Recasens Ferrés, Jorge|||0000-0003-2304-0032
Torrens, Joan
author Massanet, Sebastià
author_facet Massanet, Sebastià
Recasens Ferrés, Jorge|||0000-0003-2304-0032
Torrens, Joan
author_role author
author2 Recasens Ferrés, Jorge|||0000-0003-2304-0032
Torrens, Joan
author2_role author
author
dc.subject.none.fl_str_mv Fuzzy logic
Fuzzy implication function
Continuous t-norm
Powers of t-norms
Fuzzy negation
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
topic Fuzzy logic
Fuzzy implication function
Continuous t-norm
Powers of t-norms
Fuzzy negation
Lògica difusa
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
description The modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy “If, Then” conditional is an important asset for an expert in order to agree with it. The usual method to modify fuzzy propositions is the use of Zadeh's quantifiers based on powers of t-norms. However, the invariance of the truth value of the fuzzy conditional would be a desirable property when both the antecedent and the consequent are modified using the same quantifier. In this paper, a novel family of fuzzy implication functions based on powers of continuous t-norms which ensure the aforementioned property is presented. Other important additional properties are analyzed and from this study, it is proved that they do not intersect the most well-known classes of fuzzy implication functions.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-04-01
2017
2017-05-10
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/2117/104276
https://dx.doi.org/10.1016/j.ijar.2017.01.014
url https://hdl.handle.net/2117/104276
https://dx.doi.org/10.1016/j.ijar.2017.01.014
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
_version_ 1869411722945626112
score 15.198674

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