Optimality conditions for interval valued optimization problems

Bibliographic Details
Main Author: Villanueva, Fabiola R.
Publication Date: 2022
Other Authors: de Oliveira, Valeriano A. [UNESP], Costa, Tiago M.
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1016/j.fss.2022.06.020
http://hdl.handle.net/11449/241338
Summary: This work addresses constrained optimization problems in which the objective function is interval-valued while the inequality constraints functions are real-valued. Both necessary and sufficient optimality conditions are derived. They are given through the gH-gradient and the gH-directional derivative of the interval objective function. The necessary ones are of KKT-type. The sufficient conditions are of generalized convexity type. The developed theory is illustrated by means of some numerical examples.
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network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
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spelling Optimality conditions for interval valued optimization problemsGeneralized convexityInterval optimizationKarush-Kuhn-Tucker-type conditionsNecessary optimality conditionsSufficient optimality conditionsThis work addresses constrained optimization problems in which the objective function is interval-valued while the inequality constraints functions are real-valued. Both necessary and sufficient optimality conditions are derived. They are given through the gH-gradient and the gH-directional derivative of the interval objective function. The necessary ones are of KKT-type. The sufficient conditions are of generalized convexity type. The developed theory is illustrated by means of some numerical examples.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidad Mayor de San Andrés Carrera de MatemáticaUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática CEP, Rua Cristóvão Colombo, N. 2265, Jardim Nazareth, São José do Rio PretoDepartamento de Matemática Universidad de Tarapacá, Casilla 7DUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática CEP, Rua Cristóvão Colombo, N. 2265, Jardim Nazareth, São José do Rio PretoFAPESP: 2013/07375-0CNPq: 305786/2018-0Carrera de MatemáticaUniversidade Estadual Paulista (UNESP)Universidad de TarapacáVillanueva, Fabiola R.de Oliveira, Valeriano A. [UNESP]Costa, Tiago M.2023-03-01T20:57:25Z2023-03-01T20:57:25Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.fss.2022.06.020Fuzzy Sets and Systems.0165-0114http://hdl.handle.net/11449/24133810.1016/j.fss.2022.06.0202-s2.0-85134180404Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFuzzy Sets and Systemsinfo:eu-repo/semantics/openAccess2023-03-01T20:57:25Zoai:repositorio.unesp.br:11449/241338Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-03-01T20:57:25Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimality conditions for interval valued optimization problems
title Optimality conditions for interval valued optimization problems
spellingShingle Optimality conditions for interval valued optimization problems
Villanueva, Fabiola R.
Generalized convexity
Interval optimization
Karush-Kuhn-Tucker-type conditions
Necessary optimality conditions
Sufficient optimality conditions
title_short Optimality conditions for interval valued optimization problems
title_full Optimality conditions for interval valued optimization problems
title_fullStr Optimality conditions for interval valued optimization problems
title_full_unstemmed Optimality conditions for interval valued optimization problems
title_sort Optimality conditions for interval valued optimization problems
author Villanueva, Fabiola R.
author_facet Villanueva, Fabiola R.
de Oliveira, Valeriano A. [UNESP]
Costa, Tiago M.
author_role author
author2 de Oliveira, Valeriano A. [UNESP]
Costa, Tiago M.
author2_role author
author
dc.contributor.none.fl_str_mv Carrera de Matemática
Universidade Estadual Paulista (UNESP)
Universidad de Tarapacá
dc.contributor.author.fl_str_mv Villanueva, Fabiola R.
de Oliveira, Valeriano A. [UNESP]
Costa, Tiago M.
dc.subject.por.fl_str_mv Generalized convexity
Interval optimization
Karush-Kuhn-Tucker-type conditions
Necessary optimality conditions
Sufficient optimality conditions
topic Generalized convexity
Interval optimization
Karush-Kuhn-Tucker-type conditions
Necessary optimality conditions
Sufficient optimality conditions
description This work addresses constrained optimization problems in which the objective function is interval-valued while the inequality constraints functions are real-valued. Both necessary and sufficient optimality conditions are derived. They are given through the gH-gradient and the gH-directional derivative of the interval objective function. The necessary ones are of KKT-type. The sufficient conditions are of generalized convexity type. The developed theory is illustrated by means of some numerical examples.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-03-01T20:57:25Z
2023-03-01T20:57:25Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.fss.2022.06.020
Fuzzy Sets and Systems.
0165-0114
http://hdl.handle.net/11449/241338
10.1016/j.fss.2022.06.020
2-s2.0-85134180404
url http://dx.doi.org/10.1016/j.fss.2022.06.020
http://hdl.handle.net/11449/241338
identifier_str_mv Fuzzy Sets and Systems.
0165-0114
10.1016/j.fss.2022.06.020
2-s2.0-85134180404
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fuzzy Sets and Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1799964376998871040

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