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Covers and approximations in multiobjective optimization

hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorVanderpooten, Daniel*
hal.structure.identifier
dc.contributor.authorWeerasena, L.*
hal.structure.identifier
dc.contributor.authorWiecek, M.M.*
dc.date.accessioned2016-12-01T17:07:15Z
dc.date.available2016-12-01T17:07:15Z
dc.date.issued2017
dc.identifier.issn0925-5001
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16039
dc.language.isoenen
dc.subjectMultiobjective optimization
dc.subjectNondominated set
dc.subjectPareto set
dc.subjectApproximation
dc.subjectCones
dc.subjectTolerance function
dc.subject.ddc003en
dc.subject.classificationjelC.C4.C44en
dc.titleCovers and approximations in multiobjective optimization
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenDue to the growing interest in approximation for multiobjective optimization problems (MOPs), a theoretical framework for defining and classifying sets representing or approximating solution sets for MOPs is developed. The concept of tolerance function is proposed as a tool for modeling representation quality. This notion leads to the extension of the traditional dominance relation to t-t- dominance. Two types of sets representing the solution sets are defined: covers and approximations. Their properties are examined in a broader context of multiple solution sets, multiple cones, and multiple quality measures. Applications to complex MOPs are included.
dc.relation.isversionofjnlnameJournal of Global Optimization
dc.relation.isversionofjnlvol67
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2017
dc.relation.isversionofjnlpages601-619
dc.relation.isversionofdoi10.1007/s10898-016-0426-4
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-02-06T08:18:10Z
hal.identifierhal-01505651*
hal.version1*
hal.update.actionupdateMetadata*
hal.author.functionaut
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hal.author.functionaut


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