{"id":"https://openalex.org/W2731388869","doi":"https://doi.org/10.1007/978-3-319-58565-9_2","title":"Multi-objective Optimization Problem","display_name":"Multi-objective Optimization Problem","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2731388869","doi":"https://doi.org/10.1007/978-3-319-58565-9_2","mag":"2731388869"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-58565-9_2","doi":"https://doi.org/10.1007/978-3-319-58565-9_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-58565-9_2","pdf_url":null,"source":{"id":"https://openalex.org/S4210230932","display_name":"SpringerBriefs in mathematics","issn_l":"2191-8198","issn":["2191-8198","2191-8201"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerBriefs in Mathematics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2731880485","display_name":"Multi-Objective Optimization Problems"},"type":"book-chapter","is_traditional":true,"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/A5073695962","display_name":"Fran S\u00e9rgio Lobato","orcid":"https://orcid.org/0000-0002-7401-4718","observed_orcids":["https://orcid.org/0000-0002-7401-4718"]},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Fran S\u00e9rgio Lobato","raw_affiliation_strings":["School of Chemical Engineering, Federal University of Uberl\u00e2ndia, Uberl\u00e2ndia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical Engineering, Federal University of Uberl\u00e2ndia, Uberl\u00e2ndia, Brazil","institution_ids":["https://openalex.org/I80850581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078083909","display_name":"Valder Steffen","orcid":"https://orcid.org/0000-0001-6124-2554","observed_orcids":["https://orcid.org/0000-0001-6124-2554"]},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Valder Steffen","raw_affiliation_strings":["School of Mechanical Engineering, Federal University of Uberl\u00e2ndia, Uberl\u00e2ndia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Federal University of Uberl\u00e2ndia, Uberl\u00e2ndia, Brazil","institution_ids":["https://openalex.org/I80850581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I80850581"],"apc_list":null,"apc_paid":null,"fwci":4.1154,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92451923,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"9","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T10545","display_name":"Optimization and Variational Analysis","score":9.999999747378752e-05,"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/T12709","display_name":"Optimization and Mathematical Programming","score":9.999999747378752e-05,"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/multi-objective-optimization","display_name":"multi-objective optimization","score":1.0},{"id":"https://openalex.org/keywords/optimality-conditions","display_name":"optimality conditions","score":0.8270000219345093},{"id":"https://openalex.org/keywords/convergence-metrics","display_name":"convergence metrics","score":0.9649999737739563},{"id":"https://openalex.org/keywords/diversity-index","display_name":"diversity indices","score":0.9359999895095825},{"id":"https://openalex.org/keywords/mathematical-formulation","display_name":"mathematical formulation","score":0.7200000286102295},{"id":"https://openalex.org/keywords/multi-objective-optimization-algorithms","display_name":"multi-objective optimization algorithms","score":0.7289999723434448}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.637925386428833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6074769496917725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5816085338592529},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43945249915122986},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41379106044769287},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3960430920124054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31004956364631653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1418311893939972},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12739574909210205},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04152938723564148},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-58565-9_2","doi":"https://doi.org/10.1007/978-3-319-58565-9_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-58565-9_2","pdf_url":null,"source":{"id":"https://openalex.org/S4210230932","display_name":"SpringerBriefs in mathematics","issn_l":"2191-8198","issn":["2191-8198","2191-8201"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerBriefs in Mathematics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W153753672","https://openalex.org/W1575223513","https://openalex.org/W1595498733","https://openalex.org/W1596965972","https://openalex.org/W1990023680","https://openalex.org/W2109289092","https://openalex.org/W2125899728","https://openalex.org/W2798766386","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W3046465598","https://openalex.org/W2741714199","https://openalex.org/W30591200","https://openalex.org/W4231286994","https://openalex.org/W633804112","https://openalex.org/W1564218744","https://openalex.org/W1503015404","https://openalex.org/W7100055128","https://openalex.org/W2501252079","https://openalex.org/W4291155679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-07-14T00:00:00"}
