{"id":"https://openalex.org/W2112969534","doi":"https://doi.org/10.1109/cec.2011.5949962","title":"Correlation between diversity and hypervolume in evolutionary multiobjective optimization","display_name":"Correlation between diversity and hypervolume in evolutionary multiobjective optimization","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2112969534","doi":"https://doi.org/10.1109/cec.2011.5949962","mag":"2112969534"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2011.5949962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2011.5949962","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Congress of Evolutionary Computation (CEC)","raw_type":"proceedings-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/A5015797965","display_name":"Carlos R. B. Azevedo","orcid":"https://orcid.org/0000-0002-4422-9961"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Carlos R. B. Azevedo","raw_affiliation_strings":["School of Electrical and Computer Engineering, State University of Campinas, Brazil","[School of Electrical and Computer Engineering, State University of Campinas, Brazil]"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"[School of Electrical and Computer Engineering, State University of Campinas, Brazil]","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090740684","display_name":"A.F.R. Araujo","orcid":"https://orcid.org/0000-0002-1749-2174"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Aluizio F. R. Araujo","raw_affiliation_strings":["Center of Informatics, Federal University of Pernambuco (UFPE), Brazil","Center for Informatics, Federal University of Pernambuco, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Center of Informatics, Federal University of Pernambuco (UFPE), Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Center for Informatics, Federal University of Pernambuco, Brazil#TAB#","institution_ids":["https://openalex.org/I25112270"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015797965"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.9415,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.76144504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"2743","last_page":"2750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.814008355140686},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.8024615049362183},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.703254222869873},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6972953677177429},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6430683732032776},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5796809196472168},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.5016834735870361},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.49021846055984497},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.45268714427948},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.44355806708335876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44192254543304443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4404013454914093},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.4383009970188141},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22850081324577332},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0686291754245758}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.814008355140686},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.8024615049362183},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.703254222869873},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6972953677177429},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6430683732032776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5796809196472168},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.5016834735870361},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.49021846055984497},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.45268714427948},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.44355806708335876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44192254543304443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4404013454914093},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.4383009970188141},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22850081324577332},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0686291754245758},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2011.5949962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2011.5949962","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Congress of Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W133511943","https://openalex.org/W225560312","https://openalex.org/W1589038126","https://openalex.org/W1990771923","https://openalex.org/W2098907614","https://openalex.org/W2112912151","https://openalex.org/W2124532543","https://openalex.org/W2125899728","https://openalex.org/W2126105956","https://openalex.org/W2148615815","https://openalex.org/W2166116468","https://openalex.org/W2166963499","https://openalex.org/W2167159964","https://openalex.org/W4285719527","https://openalex.org/W6605369588","https://openalex.org/W6608886761","https://openalex.org/W6684212943"],"related_works":["https://openalex.org/W1985939653","https://openalex.org/W1606499289","https://openalex.org/W2741252017","https://openalex.org/W2911578165","https://openalex.org/W2626282817","https://openalex.org/W2090178682","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W4297582752","https://openalex.org/W4285805405"],"abstract_inverted_index":{"This":[0],"paper":[1],"reports":[2],"a":[3],"study":[4],"of":[5,8,14,32,41,51,57,61,66,75,124],"the":[6,11,20,49,55,67,73,76,81,106,112,127],"influence":[7],"diversity":[9,52,103],"in":[10,38,45,64,83],"convergence":[12],"dynamics":[13],"Multiobjective":[15],"Evolutionary":[16],"Algorithms":[17],"(MOEAs)":[18],"towards":[19],"Pareto":[21],"Front":[22],"(PF).":[23],"By":[24],"varying":[25],"mutation":[26],"and":[27,34,105],"crossover":[28],"parameters,":[29],"several":[30,102],"scenarios":[31],"exploration":[33],"exploitation":[35],"are":[36,97,120],"considered,":[37],"which":[39],"each":[40],"them":[42],"is":[43,88,130],"analysed":[44],"order":[46],"to":[47],"assess":[48],"role":[50],"levels":[53,110],"on":[54,111],"evolution":[56],"high":[58],"quality":[59],"sets":[60],"non-dominated":[62],"solutions,":[63],"terms":[65],"Hypervolume":[68,109],"indicator.":[69],"For":[70],"this":[71],"task,":[72],"application":[74],"NSGA2":[77],"algorithm":[78],"for":[79],"approximating":[80],"PF":[82],"five":[84],"ZDT":[85],"benchmark":[86],"problems":[87],"considered.":[89],"The":[90],"results":[91],"not":[92],"only":[93],"indicate":[94],"that":[95,118],"there":[96,119],"significant":[98],"statistical":[99],"correlations":[100],"between":[101],"metrics":[104],"observed":[107],"maximum":[108],"evolved":[113],"populations,":[114],"but":[115],"also":[116],"suggest":[117],"predictable":[121],"temporal":[122],"patterns":[123],"correlation":[125],"when":[126],"evolutionary":[128],"process":[129],"portrayed":[131],"generation":[132],"wise.":[133]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
