Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/978-3-319-95312-0_38 http://hdl.handle.net/11449/171305 |
Resumo: | This article is devoted to obtaining necessary optimality conditions for optimization problems with interval-valued objective and interval inequality constraints. These objective and constraint functions are obtained from continuous functions by using constrained interval arithmetic. We give a concept of derivative for this class of interval-valued functions and we find necessary conditions based on Karush-Kunh-Tucker theorem in their interval version. We present an example to illustrate our results. |
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Repositório Institucional da UNESP |
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Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmeticConstrained interval arithmeticInterval optimization problemThis article is devoted to obtaining necessary optimality conditions for optimization problems with interval-valued objective and interval inequality constraints. These objective and constraint functions are obtained from continuous functions by using constrained interval arithmetic. We give a concept of derivative for this class of interval-valued functions and we find necessary conditions based on Karush-Kunh-Tucker theorem in their interval version. We present an example to illustrate our results.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Department of Applied Mathematics Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Federal University of Triângulo Mineiro (UFTM)Department of Applied Mathematics Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Universidade Estadual Paulista (Unesp)Federal University of Triângulo Mineiro (UFTM)Maqui-Huamán, Gino G. [UNESP]Silva, Geraldo [UNESP]Leal, Ulcilea2018-12-11T16:54:49Z2018-12-11T16:54:49Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject439-449http://dx.doi.org/10.1007/978-3-319-95312-0_38Communications in Computer and Information Science, v. 831, p. 439-449.1865-0929http://hdl.handle.net/11449/17130510.1007/978-3-319-95312-0_382-s2.0-85051050352Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Computer and Information Science0,170info:eu-repo/semantics/openAccess2021-10-23T17:30:29Zoai:repositorio.unesp.br:11449/171305Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:53:44.860715Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
title |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
spellingShingle |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic Maqui-Huamán, Gino G. [UNESP] Constrained interval arithmetic Interval optimization problem |
title_short |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
title_full |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
title_fullStr |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
title_full_unstemmed |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
title_sort |
Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic |
author |
Maqui-Huamán, Gino G. [UNESP] |
author_facet |
Maqui-Huamán, Gino G. [UNESP] Silva, Geraldo [UNESP] Leal, Ulcilea |
author_role |
author |
author2 |
Silva, Geraldo [UNESP] Leal, Ulcilea |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Federal University of Triângulo Mineiro (UFTM) |
dc.contributor.author.fl_str_mv |
Maqui-Huamán, Gino G. [UNESP] Silva, Geraldo [UNESP] Leal, Ulcilea |
dc.subject.por.fl_str_mv |
Constrained interval arithmetic Interval optimization problem |
topic |
Constrained interval arithmetic Interval optimization problem |
description |
This article is devoted to obtaining necessary optimality conditions for optimization problems with interval-valued objective and interval inequality constraints. These objective and constraint functions are obtained from continuous functions by using constrained interval arithmetic. We give a concept of derivative for this class of interval-valued functions and we find necessary conditions based on Karush-Kunh-Tucker theorem in their interval version. We present an example to illustrate our results. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T16:54:49Z 2018-12-11T16:54:49Z 2018-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-3-319-95312-0_38 Communications in Computer and Information Science, v. 831, p. 439-449. 1865-0929 http://hdl.handle.net/11449/171305 10.1007/978-3-319-95312-0_38 2-s2.0-85051050352 |
url |
http://dx.doi.org/10.1007/978-3-319-95312-0_38 http://hdl.handle.net/11449/171305 |
identifier_str_mv |
Communications in Computer and Information Science, v. 831, p. 439-449. 1865-0929 10.1007/978-3-319-95312-0_38 2-s2.0-85051050352 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Communications in Computer and Information Science 0,170 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
439-449 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128288274513920 |