Statistics of the Pareto front in Multi-objective Optimization under Uncertainties

Detalhes bibliográficos
Autor(a) principal: Bassi,Mohamed
Data de Publicação: 2018
Outros Autores: Cursi,Eduardo Souza de, Pagnacco,Emmanuel, Ellaia,Rachid
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018001100503
Resumo: Abstract In this paper we address an innovative approach to determine the mean and a confidence interval for a set of objects analogous to curves and surfaces. The approach is based on the determination of the most representative member of the family by minimizing a Hausdorff distance. This method is applied to the analysis of uncertain Pareto frontiers in multi-objective optimization (MOO). The determination of the Pareto front of deterministic MOO is carried by minimizing the hypervolume contained between the front and the utopia point. We give some examples and we apply the approach to a truss-like structure for which conflicting objective functions such as the structure mass and the maximum displacement are both to be minimized.
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spelling Statistics of the Pareto front in Multi-objective Optimization under UncertaintiesUncertaintyMulti-Objective OptimizationPareto FrontRandom systemHypersurfaceHypervolumeAbstract In this paper we address an innovative approach to determine the mean and a confidence interval for a set of objects analogous to curves and surfaces. The approach is based on the determination of the most representative member of the family by minimizing a Hausdorff distance. This method is applied to the analysis of uncertain Pareto frontiers in multi-objective optimization (MOO). The determination of the Pareto front of deterministic MOO is carried by minimizing the hypervolume contained between the front and the utopia point. We give some examples and we apply the approach to a truss-like structure for which conflicting objective functions such as the structure mass and the maximum displacement are both to be minimized.Associação Brasileira de Ciências Mecânicas2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018001100503Latin American Journal of Solids and Structures v.15 n.11 2018reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78255018info:eu-repo/semantics/openAccessBassi,MohamedCursi,Eduardo Souza dePagnacco,EmmanuelEllaia,Rachideng2018-11-07T00:00:00Zoai:scielo:S1679-78252018001100503Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2018-11-07T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
title Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
spellingShingle Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
Bassi,Mohamed
Uncertainty
Multi-Objective Optimization
Pareto Front
Random system
Hypersurface
Hypervolume
title_short Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
title_full Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
title_fullStr Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
title_full_unstemmed Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
title_sort Statistics of the Pareto front in Multi-objective Optimization under Uncertainties
author Bassi,Mohamed
author_facet Bassi,Mohamed
Cursi,Eduardo Souza de
Pagnacco,Emmanuel
Ellaia,Rachid
author_role author
author2 Cursi,Eduardo Souza de
Pagnacco,Emmanuel
Ellaia,Rachid
author2_role author
author
author
dc.contributor.author.fl_str_mv Bassi,Mohamed
Cursi,Eduardo Souza de
Pagnacco,Emmanuel
Ellaia,Rachid
dc.subject.por.fl_str_mv Uncertainty
Multi-Objective Optimization
Pareto Front
Random system
Hypersurface
Hypervolume
topic Uncertainty
Multi-Objective Optimization
Pareto Front
Random system
Hypersurface
Hypervolume
description Abstract In this paper we address an innovative approach to determine the mean and a confidence interval for a set of objects analogous to curves and surfaces. The approach is based on the determination of the most representative member of the family by minimizing a Hausdorff distance. This method is applied to the analysis of uncertain Pareto frontiers in multi-objective optimization (MOO). The determination of the Pareto front of deterministic MOO is carried by minimizing the hypervolume contained between the front and the utopia point. We give some examples and we apply the approach to a truss-like structure for which conflicting objective functions such as the structure mass and the maximum displacement are both to be minimized.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018001100503
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018001100503
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78255018
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.15 n.11 2018
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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