On the Newton method for solving fuzzy optimization problems

In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. For this purpose, we use the generalized Hukuhara differentiability notion...

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Detalhes bibliográficos
Autores: Chalco Cano, Yurilev, Nunes Silva, Geraldo, Rufián Lizana, Antonio
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48135
Acesso em linha:http://hdl.handle.net/11441/48135
https://doi.org/10.1016/j.fss.2015.02.001
Access Level:acceso abierto
Palavra-chave:Fuzzy optimization
Generalized Hukuhara differentiability
Newton method
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spelling On the Newton method for solving fuzzy optimization problemsChalco Cano, YurilevNunes Silva, GeraldoRufián Lizana, AntonioFuzzy optimizationGeneralized Hukuhara differentiabilityNewton methodIn this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. For this purpose, we use the generalized Hukuhara differentiability notion, which is the most general concept of existing differentiability for fuzzy functions. This work improves and correct the Newton Method previously proposed in the literature.Fondo Nacional de Desarrollo Científico y Tecnológico (Chile)Ministerio de Ciencia y TecnologíaConselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)Centro de Pesquisa em Matemática Aplicada à Indústria (Fundação de Amparo à Pesquisa do Estado de São Paulo)ElsevierEstadística e Investigación OperativaFQM153: Estadística e Investigación Operativa2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/48135https://doi.org/10.1016/j.fss.2015.02.001reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFuzzy Sets and Systems, 272 (1), 60-69.11206651120674MTM 2010-15383309335/2012-4479109/2013-32013/07375-0http://ac.els-cdn.com/S0165011415000640/1-s2.0-S0165011415000640-main.pdf?_tid=409f98c8-9b4f-11e6-b423-00000aab0f27&acdnat=1477467717_5e978414006348550e820218c591d491info:eu-repo/semantics/openAccessoai:idus.us.es:11441/481352026-06-17T12:51:07Z
dc.title.none.fl_str_mv On the Newton method for solving fuzzy optimization problems
title On the Newton method for solving fuzzy optimization problems
spellingShingle On the Newton method for solving fuzzy optimization problems
Chalco Cano, Yurilev
Fuzzy optimization
Generalized Hukuhara differentiability
Newton method
title_short On the Newton method for solving fuzzy optimization problems
title_full On the Newton method for solving fuzzy optimization problems
title_fullStr On the Newton method for solving fuzzy optimization problems
title_full_unstemmed On the Newton method for solving fuzzy optimization problems
title_sort On the Newton method for solving fuzzy optimization problems
dc.creator.none.fl_str_mv Chalco Cano, Yurilev
Nunes Silva, Geraldo
Rufián Lizana, Antonio
author Chalco Cano, Yurilev
author_facet Chalco Cano, Yurilev
Nunes Silva, Geraldo
Rufián Lizana, Antonio
author_role author
author2 Nunes Silva, Geraldo
Rufián Lizana, Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Estadística e Investigación Operativa
FQM153: Estadística e Investigación Operativa
dc.subject.none.fl_str_mv Fuzzy optimization
Generalized Hukuhara differentiability
Newton method
topic Fuzzy optimization
Generalized Hukuhara differentiability
Newton method
description In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. For this purpose, we use the generalized Hukuhara differentiability notion, which is the most general concept of existing differentiability for fuzzy functions. This work improves and correct the Newton Method previously proposed in the literature.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/48135
https://doi.org/10.1016/j.fss.2015.02.001
url http://hdl.handle.net/11441/48135
https://doi.org/10.1016/j.fss.2015.02.001
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Fuzzy Sets and Systems, 272 (1), 60-69.
1120665
1120674
MTM 2010-15383
309335/2012-4
479109/2013-3
2013/07375-0
http://ac.els-cdn.com/S0165011415000640/1-s2.0-S0165011415000640-main.pdf?_tid=409f98c8-9b4f-11e6-b423-00000aab0f27&acdnat=1477467717_5e978414006348550e820218c591d491
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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