Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300229 |
Resumo: | ABSTRACT (S, N)- and QL-subimplications can be obtained by a distributive n-ary aggregation performed over the families T of t-subnorms and S of t-subconorms along with a fuzzy negation. Since these classes of subimplications are explicitly represented by t-subconorms and t-subnorms verifying the generalized associativity, the corresponding (S, N)- and QL-subimplicators, referred as IS, N and IS, T, N, are characterized as distributive n-ary aggregation together with related generalizations as the exchange and neutrality principles. Moreover, the classes of (S, N)- and QL-subimplicators are obtained by the median operation performed over the standard negation Ns together with the families of t-subnorms and t-subconorms by considering the product t-norm Tp as well as the algebraic sum Sp, respectively. As the main results, the family of subimplications and extends the corresponding classes of implicators by preserving their properties, discussing dual and conjugate constructions. |
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Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructionsmedian aggregationt-sub(co)normsfuzzy (sub)implicationsQL-implications(S, N)-implicationsABSTRACT (S, N)- and QL-subimplications can be obtained by a distributive n-ary aggregation performed over the families T of t-subnorms and S of t-subconorms along with a fuzzy negation. Since these classes of subimplications are explicitly represented by t-subconorms and t-subnorms verifying the generalized associativity, the corresponding (S, N)- and QL-subimplicators, referred as IS, N and IS, T, N, are characterized as distributive n-ary aggregation together with related generalizations as the exchange and neutrality principles. Moreover, the classes of (S, N)- and QL-subimplicators are obtained by the median operation performed over the standard negation Ns together with the families of t-subnorms and t-subconorms by considering the product t-norm Tp as well as the algebraic sum Sp, respectively. As the main results, the family of subimplications and extends the corresponding classes of implicators by preserving their properties, discussing dual and conjugate constructions.Sociedade Brasileira de Matemática Aplicada e Computacional2015-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300229TEMA (São Carlos) v.16 n.3 2015reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2015.016.03.0229info:eu-repo/semantics/openAccessREISER,R.H.S.BENÍTEZ,I.C.K.YAMIN,A.C.BEDREGAL,B.R.C.eng2016-02-11T00:00:00Zoai:scielo:S2179-84512015000300229Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2016-02-11T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse |
dc.title.none.fl_str_mv |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
title |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
spellingShingle |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions REISER,R.H.S. median aggregation t-sub(co)norms fuzzy (sub)implications QL-implications (S, N)-implications |
title_short |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
title_full |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
title_fullStr |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
title_full_unstemmed |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
title_sort |
Aggregating Fuzzy QL- and (S,N)-Subimplications: Conjugate and Dual Constructions |
author |
REISER,R.H.S. |
author_facet |
REISER,R.H.S. BENÍTEZ,I.C.K. YAMIN,A.C. BEDREGAL,B.R.C. |
author_role |
author |
author2 |
BENÍTEZ,I.C.K. YAMIN,A.C. BEDREGAL,B.R.C. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
REISER,R.H.S. BENÍTEZ,I.C.K. YAMIN,A.C. BEDREGAL,B.R.C. |
dc.subject.por.fl_str_mv |
median aggregation t-sub(co)norms fuzzy (sub)implications QL-implications (S, N)-implications |
topic |
median aggregation t-sub(co)norms fuzzy (sub)implications QL-implications (S, N)-implications |
description |
ABSTRACT (S, N)- and QL-subimplications can be obtained by a distributive n-ary aggregation performed over the families T of t-subnorms and S of t-subconorms along with a fuzzy negation. Since these classes of subimplications are explicitly represented by t-subconorms and t-subnorms verifying the generalized associativity, the corresponding (S, N)- and QL-subimplicators, referred as IS, N and IS, T, N, are characterized as distributive n-ary aggregation together with related generalizations as the exchange and neutrality principles. Moreover, the classes of (S, N)- and QL-subimplicators are obtained by the median operation performed over the standard negation Ns together with the families of t-subnorms and t-subconorms by considering the product t-norm Tp as well as the algebraic sum Sp, respectively. As the main results, the family of subimplications and extends the corresponding classes of implicators by preserving their properties, discussing dual and conjugate constructions. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300229 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300229 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.5540/tema.2015.016.03.0229 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
TEMA (São Carlos) v.16 n.3 2015 reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) instname:Sociedade Brasileira de Matemática Aplicada e Computacional instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
collection |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
repository.name.fl_str_mv |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional |
repository.mail.fl_str_mv |
castelo@icmc.usp.br |
_version_ |
1752122220134531072 |