Necessary optimality conditions for interval optimization problems with inequality constraints using constrained interval arithmetic

Detalhes bibliográficos
Autor(a) principal: Maqui-Huamán, Gino G. [UNESP]
Data de Publicação: 2018
Outros Autores: Silva, Geraldo [UNESP], Leal, Ulcilea
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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spelling 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:29462021-10-23T17:30:29Repositório 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_ 1799964417912209408

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