{"id":"https://openalex.org/W2888790369","doi":"https://doi.org/10.1109/tevc.2018.2866927","title":"A Clustering-Based Evolutionary Algorithm for Many-Objective Optimization Problems","display_name":"A Clustering-Based Evolutionary Algorithm for Many-Objective Optimization Problems","publication_year":2018,"publication_date":"2018-08-23","ids":{"openalex":"https://openalex.org/W2888790369","doi":"https://doi.org/10.1109/tevc.2018.2866927","mag":"2888790369"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2018.2866927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2866927","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","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/A5066935890","display_name":"Qiuzhen Lin","orcid":"https://orcid.org/0000-0003-2415-0401"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiuzhen Lin","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037871091","display_name":"Songbai Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songbai Liu","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030015771","display_name":"Ka\u2010Chun Wong","orcid":"https://orcid.org/0000-0001-6062-733X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ka-Chun Wong","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091227928","display_name":"Maoguo Gong","orcid":"https://orcid.org/0000-0002-0415-8556"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maoguo Gong","raw_affiliation_strings":["Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center for Intelligent Perception and Computation, Xidian University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center for Intelligent Perception and Computation, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085548317","display_name":"Carlos A. Coello Coello","orcid":"https://orcid.org/0000-0002-8435-680X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Carlos A. Coello Coello","raw_affiliation_strings":["Department of Computer Science, CINVESTAV-IPN (Evolutionary Computation Group), Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, CINVESTAV-IPN (Evolutionary Computation Group), Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110529194","display_name":"Jianyong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyong Chen","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100400217","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0001-7835-9871"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5066935890"],"corresponding_institution_ids":["https://openalex.org/I180726961"],"apc_list":null,"apc_paid":null,"fwci":9.8308,"has_fulltext":false,"cited_by_count":122,"citation_normalized_percentile":{"value":0.98514982,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"23","issue":"3","first_page":"391","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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":0.996999979019165,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9944999814033508,"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/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6706497669219971},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6015910506248474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5892453193664551},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.556444525718689},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.457502156496048},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42863205075263977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3912566900253296},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35839012265205383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31333544850349426},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24934619665145874}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6706497669219971},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6015910506248474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5892453193664551},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.556444525718689},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.457502156496048},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42863205075263977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3912566900253296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35839012265205383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31333544850349426},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24934619665145874}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2018.2866927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2866927","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4238711426","display_name":null,"funder_award_id":"61876110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6735711998","display_name":null,"funder_award_id":"221551","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G8851136550","display_name":null,"funder_award_id":"61402291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G928586019","display_name":null,"funder_award_id":"61772393","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W1493761729","https://openalex.org/W1500125712","https://openalex.org/W1575601714","https://openalex.org/W1575827797","https://openalex.org/W1588375755","https://openalex.org/W1608317386","https://openalex.org/W1662894842","https://openalex.org/W1868857639","https://openalex.org/W1987958230","https://openalex.org/W1997053037","https://openalex.org/W2012365787","https://openalex.org/W2021418037","https://openalex.org/W2022485595","https://openalex.org/W2040622444","https://openalex.org/W2045176059","https://openalex.org/W2049862811","https://openalex.org/W2050914643","https://openalex.org/W2067544246","https://openalex.org/W2072661909","https://openalex.org/W2075016777","https://openalex.org/W2090797242","https://openalex.org/W2102365077","https://openalex.org/W2106334424","https://openalex.org/W2108968575","https://openalex.org/W2116961716","https://openalex.org/W2120091775","https://openalex.org/W2126105956","https://openalex.org/W2126997347","https://openalex.org/W2127218421","https://openalex.org/W2127459836","https://openalex.org/W2128357515","https://openalex.org/W2135974394","https://openalex.org/W2143381319","https://openalex.org/W2146713522","https://openalex.org/W2148615815","https://openalex.org/W2153233077","https://openalex.org/W2154781286","https://openalex.org/W2165835468","https://openalex.org/W2183043622","https://openalex.org/W2278123559","https://openalex.org/W2283268937","https://openalex.org/W2291979484","https://openalex.org/W2312339748","https://openalex.org/W2313094906","https://openalex.org/W2326149522","https://openalex.org/W2329749247","https://openalex.org/W2343498104","https://openalex.org/W2343601797","https://openalex.org/W2466060750","https://openalex.org/W2469950730","https://openalex.org/W2502932208","https://openalex.org/W2512033555","https://openalex.org/W2519112510","https://openalex.org/W2521918431","https://openalex.org/W2546299924","https://openalex.org/W2563621803","https://openalex.org/W2570235502","https://openalex.org/W2577068100","https://openalex.org/W2594575977","https://openalex.org/W2599937626","https://openalex.org/W2602976224","https://openalex.org/W2609579687","https://openalex.org/W2728574511","https://openalex.org/W2806920391","https://openalex.org/W2994964425","https://openalex.org/W3037787799","https://openalex.org/W4252521233","https://openalex.org/W4292864963","https://openalex.org/W6608886761","https://openalex.org/W6635433731","https://openalex.org/W6647179837","https://openalex.org/W6678914141","https://openalex.org/W6726862083","https://openalex.org/W6771627385"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W4297582752","https://openalex.org/W4285805405","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2162013778","https://openalex.org/W2145877535","https://openalex.org/W2153873031","https://openalex.org/W570431388"],"abstract_inverted_index":{"This":[0],"paper":[1],"suggests":[2],"a":[3,21,200],"novel":[4],"clustering-based":[5],"evolutionary":[6],"algorithm":[7,223],"for":[8],"many-objective":[9,227],"optimization":[10],"problems.":[11],"Its":[12],"main":[13,90,130],"idea":[14],"is":[15,26,75,110,119,149,183,197],"to":[16,28,78,132,179,185,204],"classify":[17,79],"the":[18,30,47,53,58,66,80,94,111,150,180,194,219],"population":[19,82,151],"into":[20,52,83],"number":[22,112],"of":[23,32,113,170,193,221],"clusters,":[24,72],"which":[25],"expected":[27],"solve":[29],"difficulty":[31],"balancing":[33],"convergence":[34,202],"and":[35,115,153,234],"diversity":[36],"in":[37,163],"high-dimensional":[38],"objective":[39],"space.":[40],"The":[41],"individuals":[42],"showing":[43],"high":[44],"similarities":[45],"on":[46,93,122,230],"vector":[48],"angles":[49],"are":[50],"gathered":[51],"same":[54],"cluster,":[55],"such":[56],"that":[57],"population\u2019s":[59],"distribution":[60],"can":[61],"be":[62],"well":[63],"portrayed":[64],"by":[65,199],"clusters.":[67],"To":[68],"efficiently":[69],"find":[70],"these":[71,123],"partitional":[73],"clustering":[74,118],"first":[76],"used":[77],"union":[81],"<inline-formula":[84,95,104,124,134,143,154,171],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[85,96,105,125,135,144,155,172],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[86,97,106,126,136,145,156,173],"<tex-math":[87,98,107,127,137,146,157,174],"notation=\"LaTeX\">${m}$":[88,99,108,128],"</tex-math></inline-formula>":[89,100,109,129,139,148,159,176],"clusters":[91,131,141,177,196],"based":[92],"axis":[101,181],"vectors":[102,182],"(":[103,142],"objectives),":[114],"then":[116],"hierarchical":[117],"further":[120],"run":[121],"get":[133],"notation=\"LaTeX\">${N}$":[138,147,175],"final":[140],"size":[152],"notation=\"LaTeX\">${N&gt;m}$":[158],").":[160],"At":[161],"last,":[162],"environmental":[164],"selection,":[165],"one":[166,189],"individual":[167,190],"from":[168,191],"each":[169,192],"closest":[178],"selected":[184],"maintain":[186],"diversity,":[187],"while":[188],"other":[195],"preferred":[198],"simple":[201],"indicator":[203],"ensure":[205],"convergence.":[206],"When":[207],"tackling":[208],"some":[209],"well-known":[210],"test":[211],"problems":[212,231],"with":[213,232],"5\u201315":[214],"objectives,":[215],"extensive":[216],"experiments":[217],"validate":[218],"superiority":[220],"our":[222],"over":[224],"six":[225],"competitive":[226],"EAs,":[228],"especially":[229],"incomplete":[233],"irregular":[235],"Pareto-optimal":[236],"fronts.":[237]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":30},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":8}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}