Interval order relationships based on automorphisms and their application to interval optimization

This paper presents a method to generate preference ordering relations on interval space based on a family of automorphisms on the bidimensional Euclidean space. This method generates a family of order relation with which many order relations presented in the literature can be obtained as particular...

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Detalles Bibliográficos
Autores: Costa, T. M., Chalco Cano, Y., Osuna Gómez, Rafaela, Lodwick, W. A.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/181631
Acceso en línea:https://hdl.handle.net/11441/181631
https://doi.org/10.1016/j.ins.2022.10.020
Access Level:acceso abierto
Palabra clave:Preference order relations
Decision under Uncertainty
Interval optimization
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spelling Interval order relationships based on automorphisms and their application to interval optimizationCosta, T. M.Chalco Cano, Y.Osuna Gómez, RafaelaLodwick, W. A.Preference order relationsDecision under UncertaintyInterval optimizationThis paper presents a method to generate preference ordering relations on interval space based on a family of automorphisms on the bidimensional Euclidean space. This method generates a family of order relation with which many order relations presented in the literature can be obtained as particular cases. This family of preference order relations is used to provide a formulation for a family of interval optimization problems that unifies those formulations whose solution concepts are a Pareto-type. The elements belonging to this family are called -interval optimization problems. An advantage of the proposed method is that decision makers can consider a suitable interval optimization problem, choosing an appropriate order relation, which is obtained by choosing an automorphism. Moreover, this paper shows that each -interval optimization problem is equivalent to a biobjective optimization problem. Some optimality conditions for the -interval optimization problems are obtained. The method, concepts and results presented herein are illustrated by several examples.ElsevierEstadística e Investigación Operativa2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/181631https://doi.org/10.1016/j.ins.2022.10.020reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésInformation Sciences, 615, 731-742.10.1016/j.ins.2022.10.020info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1816312026-06-17T12:51:07Z
dc.title.none.fl_str_mv Interval order relationships based on automorphisms and their application to interval optimization
title Interval order relationships based on automorphisms and their application to interval optimization
spellingShingle Interval order relationships based on automorphisms and their application to interval optimization
Costa, T. M.
Preference order relations
Decision under Uncertainty
Interval optimization
title_short Interval order relationships based on automorphisms and their application to interval optimization
title_full Interval order relationships based on automorphisms and their application to interval optimization
title_fullStr Interval order relationships based on automorphisms and their application to interval optimization
title_full_unstemmed Interval order relationships based on automorphisms and their application to interval optimization
title_sort Interval order relationships based on automorphisms and their application to interval optimization
dc.creator.none.fl_str_mv Costa, T. M.
Chalco Cano, Y.
Osuna Gómez, Rafaela
Lodwick, W. A.
author Costa, T. M.
author_facet Costa, T. M.
Chalco Cano, Y.
Osuna Gómez, Rafaela
Lodwick, W. A.
author_role author
author2 Chalco Cano, Y.
Osuna Gómez, Rafaela
Lodwick, W. A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Estadística e Investigación Operativa
dc.subject.none.fl_str_mv Preference order relations
Decision under Uncertainty
Interval optimization
topic Preference order relations
Decision under Uncertainty
Interval optimization
description This paper presents a method to generate preference ordering relations on interval space based on a family of automorphisms on the bidimensional Euclidean space. This method generates a family of order relation with which many order relations presented in the literature can be obtained as particular cases. This family of preference order relations is used to provide a formulation for a family of interval optimization problems that unifies those formulations whose solution concepts are a Pareto-type. The elements belonging to this family are called -interval optimization problems. An advantage of the proposed method is that decision makers can consider a suitable interval optimization problem, choosing an appropriate order relation, which is obtained by choosing an automorphism. Moreover, this paper shows that each -interval optimization problem is equivalent to a biobjective optimization problem. Some optimality conditions for the -interval optimization problems are obtained. The method, concepts and results presented herein are illustrated by several examples.
publishDate 2022
dc.date.none.fl_str_mv 2022
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://hdl.handle.net/11441/181631
https://doi.org/10.1016/j.ins.2022.10.020
url https://hdl.handle.net/11441/181631
https://doi.org/10.1016/j.ins.2022.10.020
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Information Sciences, 615, 731-742.
10.1016/j.ins.2022.10.020
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
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