S-Implications on complete lattices and the interval constructor

Detalhes bibliográficos
Autor(a) principal: Reiser, Renata Hax Sander
Data de Publicação: 2008
Outros Autores: Dimuro, Graçaliz Pereira, Bedregal, Benjamín Callejas, Santos, Hélida Salles, Bedregal, Roberto Callejas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da FURG (RI FURG)
Texto Completo: http://repositorio.furg.br/handle/1/4685
Resumo: The aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete lattices. Some general properties of S-implications on complete lattices are analyzed. We show that the interval extensions of t-conorms, fuzzy negations and S-implications on complete lattices preserve the optimality property, being the best interval representations of these fuzzy connectives.
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spelling S-Implications on complete lattices and the interval constructorS-implicationsInterval constructorComplete latticesThe aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete lattices. Some general properties of S-implications on complete lattices are analyzed. We show that the interval extensions of t-conorms, fuzzy negations and S-implications on complete lattices preserve the optimality property, being the best interval representations of these fuzzy connectives.2014-11-30T02:00:01Z2014-11-30T02:00:01Z2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfREISER, Renata Hax Sander et al. S-Implications on complete lattices and the interval constructor. TEMA - Tendências em Matemática Aplicada e Computacional, v. 9, n. 1, p. 143-154, 2008. Disponível em: <http://www.sbmac.org.br/tema/seletas/docs/v9_1/15Rei_Dim_Bed_San_Cal.pdf>. Acesso em: 21 nov. 20141677-1966http://repositorio.furg.br/handle/1/4685engReiser, Renata Hax SanderDimuro, Graçaliz PereiraBedregal, Benjamín CallejasSantos, Hélida SallesBedregal, Roberto Callejasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURG2014-11-30T02:00:01Zoai:repositorio.furg.br:1/4685Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2014-11-30T02:00:01Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv S-Implications on complete lattices and the interval constructor
title S-Implications on complete lattices and the interval constructor
spellingShingle S-Implications on complete lattices and the interval constructor
Reiser, Renata Hax Sander
S-implications
Interval constructor
Complete lattices
title_short S-Implications on complete lattices and the interval constructor
title_full S-Implications on complete lattices and the interval constructor
title_fullStr S-Implications on complete lattices and the interval constructor
title_full_unstemmed S-Implications on complete lattices and the interval constructor
title_sort S-Implications on complete lattices and the interval constructor
author Reiser, Renata Hax Sander
author_facet Reiser, Renata Hax Sander
Dimuro, Graçaliz Pereira
Bedregal, Benjamín Callejas
Santos, Hélida Salles
Bedregal, Roberto Callejas
author_role author
author2 Dimuro, Graçaliz Pereira
Bedregal, Benjamín Callejas
Santos, Hélida Salles
Bedregal, Roberto Callejas
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Reiser, Renata Hax Sander
Dimuro, Graçaliz Pereira
Bedregal, Benjamín Callejas
Santos, Hélida Salles
Bedregal, Roberto Callejas
dc.subject.por.fl_str_mv S-implications
Interval constructor
Complete lattices
topic S-implications
Interval constructor
Complete lattices
description The aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete lattices. Some general properties of S-implications on complete lattices are analyzed. We show that the interval extensions of t-conorms, fuzzy negations and S-implications on complete lattices preserve the optimality property, being the best interval representations of these fuzzy connectives.
publishDate 2008
dc.date.none.fl_str_mv 2008
2014-11-30T02:00:01Z
2014-11-30T02:00:01Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv REISER, Renata Hax Sander et al. S-Implications on complete lattices and the interval constructor. TEMA - Tendências em Matemática Aplicada e Computacional, v. 9, n. 1, p. 143-154, 2008. Disponível em: <http://www.sbmac.org.br/tema/seletas/docs/v9_1/15Rei_Dim_Bed_San_Cal.pdf>. Acesso em: 21 nov. 2014
1677-1966
http://repositorio.furg.br/handle/1/4685
identifier_str_mv REISER, Renata Hax Sander et al. S-Implications on complete lattices and the interval constructor. TEMA - Tendências em Matemática Aplicada e Computacional, v. 9, n. 1, p. 143-154, 2008. Disponível em: <http://www.sbmac.org.br/tema/seletas/docs/v9_1/15Rei_Dim_Bed_San_Cal.pdf>. Acesso em: 21 nov. 2014
1677-1966
url http://repositorio.furg.br/handle/1/4685
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Institucional da FURG (RI FURG)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Repositório Institucional da FURG (RI FURG)
collection Repositório Institucional da FURG (RI FURG)
repository.name.fl_str_mv Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv
_version_ 1813187267206840320

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