An approach for solving interval optimization problems

Detalhes bibliográficos
Autor(a) principal: Villanueva, Fabiola Roxana [UNESP]
Data de Publicação: 2018
Outros Autores: de Oliveira, Valeriano Antunes [UNESP]
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_43
http://hdl.handle.net/11449/171303
Resumo: This work considers an optimization problem where the objective function possesses interval uncertainty in the coefficients. In this sense, first, an order relation will be defined for the interval space and, from this, it will be defined a solution concept for the interval problem in question. Subsequently, it will be shown that an interval problem is equivalent to a bi-objective problem. Finally, it will be established the necessary conditions of Fritz John and Karush-Kuhn-Tucker types for the interval-valued optimization problem.
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spelling An approach for solving interval optimization problemsClassical necessary condition of Fritz JohnInterval optimization problemsKarush-Kuhn-TuckerLU order relationLU solutionsMulti-objective optimization problemsNecessary optimality conditions for the LU-solutionThis work considers an optimization problem where the objective function possesses interval uncertainty in the coefficients. In this sense, first, an order relation will be defined for the interval space and, from this, it will be defined a solution concept for the interval problem in question. Subsequently, it will be shown that an interval problem is equivalent to a bi-objective problem. Finally, it will be established the necessary conditions of Fritz John and Karush-Kuhn-Tucker types for the interval-valued optimization problem.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Universidade Estadual PaulistaDepartment of Applied Mathematics Institute of Biosciences Letters and Exact Sciences UNESP - São Paulo State UniversityDepartment of Applied Mathematics Institute of Biosciences Letters and Exact Sciences UNESP - São Paulo State UniversityUniversidade Estadual Paulista (Unesp)Villanueva, Fabiola Roxana [UNESP]de Oliveira, Valeriano Antunes [UNESP]2018-12-11T16:54:48Z2018-12-11T16:54:48Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject500-507http://dx.doi.org/10.1007/978-3-319-95312-0_43Communications in Computer and Information Science, v. 831, p. 500-507.1865-0929http://hdl.handle.net/11449/17130310.1007/978-3-319-95312-0_432-s2.0-85051030695Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Computer and Information Science0,170info:eu-repo/semantics/openAccess2021-10-23T17:16:59Zoai:repositorio.unesp.br:11449/171303Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:55:07.070072Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv An approach for solving interval optimization problems
title An approach for solving interval optimization problems
spellingShingle An approach for solving interval optimization problems
Villanueva, Fabiola Roxana [UNESP]
Classical necessary condition of Fritz John
Interval optimization problems
Karush-Kuhn-Tucker
LU order relation
LU solutions
Multi-objective optimization problems
Necessary optimality conditions for the LU-solution
title_short An approach for solving interval optimization problems
title_full An approach for solving interval optimization problems
title_fullStr An approach for solving interval optimization problems
title_full_unstemmed An approach for solving interval optimization problems
title_sort An approach for solving interval optimization problems
author Villanueva, Fabiola Roxana [UNESP]
author_facet Villanueva, Fabiola Roxana [UNESP]
de Oliveira, Valeriano Antunes [UNESP]
author_role author
author2 de Oliveira, Valeriano Antunes [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Villanueva, Fabiola Roxana [UNESP]
de Oliveira, Valeriano Antunes [UNESP]
dc.subject.por.fl_str_mv Classical necessary condition of Fritz John
Interval optimization problems
Karush-Kuhn-Tucker
LU order relation
LU solutions
Multi-objective optimization problems
Necessary optimality conditions for the LU-solution
topic Classical necessary condition of Fritz John
Interval optimization problems
Karush-Kuhn-Tucker
LU order relation
LU solutions
Multi-objective optimization problems
Necessary optimality conditions for the LU-solution
description This work considers an optimization problem where the objective function possesses interval uncertainty in the coefficients. In this sense, first, an order relation will be defined for the interval space and, from this, it will be defined a solution concept for the interval problem in question. Subsequently, it will be shown that an interval problem is equivalent to a bi-objective problem. Finally, it will be established the necessary conditions of Fritz John and Karush-Kuhn-Tucker types for the interval-valued optimization problem.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T16:54:48Z
2018-12-11T16:54:48Z
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_43
Communications in Computer and Information Science, v. 831, p. 500-507.
1865-0929
http://hdl.handle.net/11449/171303
10.1007/978-3-319-95312-0_43
2-s2.0-85051030695
url http://dx.doi.org/10.1007/978-3-319-95312-0_43
http://hdl.handle.net/11449/171303
identifier_str_mv Communications in Computer and Information Science, v. 831, p. 500-507.
1865-0929
10.1007/978-3-319-95312-0_43
2-s2.0-85051030695
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 500-507
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_ 1808129263380987904

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