A scalarization scheme for binary relations with applications to set-valued and robust optimization

Producción Científica

Detalles Bibliográficos
Autores: Gutiérrez Vaquero, César, Huerga, L., Köbis, E., Tammer, C.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/74148
Acceso en línea:https://doi.org/10.1007/S10898-020-00931-X
https://uvadoc.uva.es/handle/10324/74148
Access Level:acceso abierto
Palabra clave:Binary relations
Minimal solution
Nondominated solution
Strict solution
Scalarization
Representing property
Preserving property
Set optimization
Robust optimization
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spelling A scalarization scheme for binary relations with applications to set-valued and robust optimizationGutiérrez Vaquero, CésarHuerga, L.Köbis, E.Tammer, C.Binary relationsMinimal solutionNondominated solutionStrict solutionScalarizationRepresenting propertyPreserving propertySet optimizationRobust optimizationProducción CientíficaIn this paper, a method for scalarizing optimization problems whose final space is endowed with a binary relation is stated without assuming any additional hypothesis on the data of the problem.By this approach, nondominated and minimal solutions are characterized in terms of solutions of scalar optimization problems whose objective functions are the post-composition of the original objective with scalar functions satisfying suitable properties. The obtained results generalize some recent ones stated in quasi ordered sets and real topological linear spaces. Besides, they are applied both to characterize by scalarization approximate solutions of set optimization problems with set ordering and to generalize some recent conditions on robust solutions of optimization problems. For this aim, a new robustness concept in optimization under uncertainty is introduced which is interesting in itselfThis work was partially supported by Ministerio de Ciencia, Innovación y Universidades (MCIU), Agencia Estatal de Investigación (AEI) (Spain) and Fondo Europeo de Desarrollo Regional (FEDER, UE) under Project PGC2018-096899-B-I00 (MCIU/AEI/FEDER, UE)Springer2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1007/S10898-020-00931-Xhttps://uvadoc.uva.es/handle/10324/74148reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://link.springer.com/article/10.1007/s10898-020-00931-xinfo:eu-repo/semantics/openAccessoai:uvadoc.uva.es:10324/741482026-06-13T12:44:47Z
dc.title.none.fl_str_mv A scalarization scheme for binary relations with applications to set-valued and robust optimization
title A scalarization scheme for binary relations with applications to set-valued and robust optimization
spellingShingle A scalarization scheme for binary relations with applications to set-valued and robust optimization
Gutiérrez Vaquero, César
Binary relations
Minimal solution
Nondominated solution
Strict solution
Scalarization
Representing property
Preserving property
Set optimization
Robust optimization
title_short A scalarization scheme for binary relations with applications to set-valued and robust optimization
title_full A scalarization scheme for binary relations with applications to set-valued and robust optimization
title_fullStr A scalarization scheme for binary relations with applications to set-valued and robust optimization
title_full_unstemmed A scalarization scheme for binary relations with applications to set-valued and robust optimization
title_sort A scalarization scheme for binary relations with applications to set-valued and robust optimization
dc.creator.none.fl_str_mv Gutiérrez Vaquero, César
Huerga, L.
Köbis, E.
Tammer, C.
author Gutiérrez Vaquero, César
author_facet Gutiérrez Vaquero, César
Huerga, L.
Köbis, E.
Tammer, C.
author_role author
author2 Huerga, L.
Köbis, E.
Tammer, C.
author2_role author
author
author
dc.subject.none.fl_str_mv Binary relations
Minimal solution
Nondominated solution
Strict solution
Scalarization
Representing property
Preserving property
Set optimization
Robust optimization
topic Binary relations
Minimal solution
Nondominated solution
Strict solution
Scalarization
Representing property
Preserving property
Set optimization
Robust optimization
description Producción Científica
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/S10898-020-00931-X
https://uvadoc.uva.es/handle/10324/74148
url https://doi.org/10.1007/S10898-020-00931-X
https://uvadoc.uva.es/handle/10324/74148
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s10898-020-00931-x
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
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