{"id":"https://openalex.org/W4416795099","doi":"https://doi.org/10.1016/j.ejor.2025.11.030","title":"On the representation of the non-dominated set of multiobjective optimization problems","display_name":"On the representation of the non-dominated set of multiobjective optimization problems","publication_year":2025,"publication_date":"2025-11-28","ids":{"openalex":"https://openalex.org/W4416795099","doi":"https://doi.org/10.1016/j.ejor.2025.11.030"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejor.2025.11.030","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.11.030","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019348026","display_name":"Marie Humbert--Ropers","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marie Humbert-Ropers","raw_affiliation_strings":["LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)"],"raw_orcid":"https://orcid.org/0009-0000-4701-5419","affiliations":[{"raw_affiliation_string":"LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","institution_ids":["https://openalex.org/I4210137929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061283733","display_name":"Lucie Galand","orcid":"https://orcid.org/0000-0002-7571-0395"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lucie Galand","raw_affiliation_strings":["LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)"],"raw_orcid":"https://orcid.org/0000-0002-7571-0395","affiliations":[{"raw_affiliation_string":"LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","institution_ids":["https://openalex.org/I4210137929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061295470","display_name":"Daniel Vanderpooten","orcid":"https://orcid.org/0000-0002-5934-0603"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Vanderpooten","raw_affiliation_strings":["LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)"],"raw_orcid":"https://orcid.org/0000-0002-5934-0603","affiliations":[{"raw_affiliation_string":"LAMSADE, CNRS, Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, Paris, 75016, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","institution_ids":["https://openalex.org/I4210137929"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019348026"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210137929","https://openalex.org/I56435720"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33420465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"332","issue":"3","first_page":"912","last_page":"923"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9154999852180481,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9154999852180481,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.019200000911951065,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.008500000461935997,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7979999780654907},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.647599995136261},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5748000144958496},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5375999808311462},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.39660000801086426},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.39399999380111694},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.376800000667572},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.36399999260902405}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7979999780654907},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.647599995136261},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5748000144958496},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5375999808311462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5145999789237976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4562999904155731},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4449000060558319},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43860000371932983},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.36399999260902405},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.34299999475479126},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C94618114","wikidata":"https://www.wikidata.org/wiki/Q7301169","display_name":"Real representation","level":3,"score":0.3337000012397766},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.2777000069618225},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.2590000033378601},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2581999897956848},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.ejor.2025.11.030","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.11.030","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05417238v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05417238","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Journal of Operational Research, 2025, &#x27E8;10.1016/j.ejor.2025.11.030&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1788341854","https://openalex.org/W1979571476","https://openalex.org/W1980012026","https://openalex.org/W1982751206","https://openalex.org/W1983578044","https://openalex.org/W1986998000","https://openalex.org/W2015423752","https://openalex.org/W2057882206","https://openalex.org/W2085967379","https://openalex.org/W2117538883","https://openalex.org/W2122578138","https://openalex.org/W2399429427","https://openalex.org/W2420904346","https://openalex.org/W2551495248","https://openalex.org/W2597612688","https://openalex.org/W3156529534","https://openalex.org/W3162269979","https://openalex.org/W4233783227","https://openalex.org/W4288462067","https://openalex.org/W4404536624"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-11-28T00:00:00"}
