{"id":"https://openalex.org/W3194011002","doi":"https://doi.org/10.1109/tcyb.2021.3082200","title":"A Multiobjective Framework for Many-Objective Optimization","display_name":"A Multiobjective Framework for Many-Objective Optimization","publication_year":2021,"publication_date":"2021-08-16","ids":{"openalex":"https://openalex.org/W3194011002","doi":"https://doi.org/10.1109/tcyb.2021.3082200","mag":"3194011002","pmid":"https://pubmed.ncbi.nlm.nih.gov/34398770"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3082200","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9954937/09514364.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/6221036/9954937/09514364.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103154226","display_name":"Sichen Liu","orcid":"https://orcid.org/0009-0009-4961-359X"},"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":"Si-Chen Liu","raw_affiliation_strings":["Guangdong Provincial Key Laboratory of Computational Intelligence and Cyberspace Information, South China University of Technology, Guangzhou, China","Pazhou Laboratory, Guangzhou, China","School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Computational Intelligence and Cyberspace Information, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Pazhou Laboratory, Guangzhou, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011145004","display_name":"Zhi\u2010Hui Zhan","orcid":"https://orcid.org/0000-0003-0862-0514"},"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":"Zhi-Hui Zhan","raw_affiliation_strings":["Guangdong Provincial Key Laboratory of Computational Intelligence and Cyberspace Information, South China University of Technology, Guangzhou, China","Pazhou Laboratory, Guangzhou, China","School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Computational Intelligence and Cyberspace Information, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Pazhou Laboratory, Guangzhou, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025285243","display_name":"Kay Chen Tan","orcid":"https://orcid.org/0000-0002-6802-2463"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kay Chen Tan","raw_affiliation_strings":["Department of Computing, The Hong Kong Polytechnic University, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computing, The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"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/I126145234","display_name":"Chaoyang University of Technology","ror":"https://ror.org/04xwksx09","country_code":"TW","type":"education","lineage":["https://openalex.org/I126145234"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN","TW"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Chaoyang University of Technology, Taichung City, Taiwan","Zhejiang Normal University, Jinhua, China"],"affiliations":[{"raw_affiliation_string":"Chaoyang University of Technology, Taichung City, Taiwan","institution_ids":["https://openalex.org/I126145234"]},{"raw_affiliation_string":"Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.824,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":44,"citation_normalized_percentile":{"value":0.999883,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"52","issue":"12","first_page":"13654","last_page":"13668"},"is_retracted":false,"is_paratext":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":0.9981,"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":0.9969,"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/differential-evolution","display_name":"Differential Evolution","score":0.47072092}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7753084},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.689968},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6078296},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5907245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5615746},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5502626},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.51471335},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.47418532},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.47335386},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.47072092},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4315161},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42695498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34695673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1485486},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3082200","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9954937/09514364.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34398770","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3082200","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9954937/09514364.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61772207"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61873097"},{"funder":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province","award_id":"2018B030312003"},{"funder":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China","award_id":"2019YFB2102102"}],"datasets":[],"versions":[],"referenced_works_count":68,"referenced_works":["https://openalex.org/W1493761729","https://openalex.org/W1522538275","https://openalex.org/W1525375343","https://openalex.org/W1558919105","https://openalex.org/W1588375755","https://openalex.org/W1595159159","https://openalex.org/W1662894842","https://openalex.org/W1846834309","https://openalex.org/W1997053037","https://openalex.org/W2022485595","https://openalex.org/W2025822274","https://openalex.org/W2058142975","https://openalex.org/W2063375245","https://openalex.org/W2071694551","https://openalex.org/W2072661909","https://openalex.org/W2075356520","https://openalex.org/W2091263562","https://openalex.org/W2108968575","https://openalex.org/W2120091775","https://openalex.org/W2126105956","https://openalex.org/W2128357515","https://openalex.org/W2135974394","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2150046657","https://openalex.org/W2156262512","https://openalex.org/W2312339748","https://openalex.org/W2312553966","https://openalex.org/W2326149522","https://openalex.org/W2344916885","https://openalex.org/W2466060750","https://openalex.org/W2469950730","https://openalex.org/W2489159973","https://openalex.org/W2567327143","https://openalex.org/W2570235502","https://openalex.org/W2599937626","https://openalex.org/W2726760315","https://openalex.org/W2731808231","https://openalex.org/W2740214879","https://openalex.org/W2764251381","https://openalex.org/W2769293273","https://openalex.org/W2798139910","https://openalex.org/W2803970949","https://openalex.org/W2887471996","https://openalex.org/W2895380069","https://openalex.org/W2895851783","https://openalex.org/W2902365280","https://openalex.org/W2904997552","https://openalex.org/W2918702815","https://openalex.org/W2938111495","https://openalex.org/W2939164430","https://openalex.org/W2951774549","https://openalex.org/W2953123521","https://openalex.org/W2963418938","https://openalex.org/W2968534587","https://openalex.org/W2977620944","https://openalex.org/W2981943969","https://openalex.org/W2987248529","https://openalex.org/W3033493762","https://openalex.org/W3034533053","https://openalex.org/W3043537770","https://openalex.org/W3100195331","https://openalex.org/W3106466480","https://openalex.org/W3119255562","https://openalex.org/W4211007335","https://openalex.org/W4252684946","https://openalex.org/W760913798","https://openalex.org/W763499377"],"related_works":["https://openalex.org/W4241467429","https://openalex.org/W2911471039","https://openalex.org/W2394392475","https://openalex.org/W2107894985","https://openalex.org/W2090178682","https://openalex.org/W2079483465","https://openalex.org/W2069937987","https://openalex.org/W2015132550","https://openalex.org/W1966154590","https://openalex.org/W1571424162"],"abstract_inverted_index":{"It":[0],"is":[1,71,88,123,144],"known":[2],"that":[3,127,162],"many-objective":[4,40,46,177],"optimization":[5,41],"problems":[6],"(MaOPs)":[7],"often":[8],"face":[9],"the":[10,19,24,45,52,75,81,86,92,109,118,140,147,150,163,176,181,190],"difficulty":[11],"of":[12,61,102,130,180],"maintaining":[13],"good":[14,106],"diversity":[15],"and":[16,63,169,197],"convergence":[17,62],"in":[18,74,108,149,155],"search":[20,83],"process":[21],"due":[22],"to":[23,79,95,116],"high-dimensional":[25],"objective":[26],"space.":[27,50],"To":[28],"address":[29],"this":[30,32,138],"issue,":[31],"article":[33],"proposes":[34],"a":[35,66,124],"novel":[36],"multiobjective":[37,49,77,111],"framework":[38,126],"for":[39],"(Mo4Ma),":[42],"which":[43],"transforms":[44],"space":[47,78,112],"into":[48,57],"First,":[51],"many":[53],"objectives":[54,60],"are":[55],"transformed":[56,76,110],"two":[58],"indicative":[59],"diversity.":[64,98],"Second,":[65],"clustering-based":[67],"sequential":[68],"selection":[69,87],"strategy":[70],"put":[72],"forward":[73],"guide":[80],"evolutionary":[82,131],"process.":[84],"Specifically,":[85],"circularly":[89],"performed":[90],"on":[91],"clustered":[93],"subpopulations":[94],"maintain":[96],"population":[97],"In":[99,137],"each":[100],"round":[101],"selection,":[103],"solutions":[104,173],"with":[105,175,185],"performance":[107],"will":[113],"be":[114],"chosen":[115],"improve":[117],"overall":[119],"convergence.":[120],"The":[121],"Mo4Ma":[122,151],"generic":[125],"any":[128],"type":[129],"computation":[132],"algorithm":[133,165,193],"can":[134,166],"incorporate":[135],"compatibly.":[136],"article,":[139],"differential":[141],"evolution":[142],"(DE)":[143],"adopted":[145],"as":[146],"optimizer":[148],"framework,":[152],"thus":[153],"resulting":[154],"an":[156],"Mo4Ma-DE":[157,164,192],"algorithm.":[158],"Experimental":[159],"results":[160],"show":[161],"obtain":[167],"well-converged":[168],"widely":[170],"distributed":[171],"Pareto":[172,178],"along":[174],"sets":[179],"original":[182],"MaOPs.":[183],"Compared":[184],"seven":[186],"state-of-the-art":[187],"MaOP":[188],"algorithms,":[189],"proposed":[191],"shows":[194],"strong":[195],"competitiveness":[196],"general":[198],"better":[199],"performance.":[200]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3194011002","counts_by_year":[{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":4}],"updated_date":"2025-01-02T10:06:15.431674","created_date":"2021-08-30"}