{"id":"https://openalex.org/W3023559047","doi":"https://doi.org/10.1109/tcyb.2020.2971638","title":"A Self-Guided Reference Vector Strategy for Many-Objective Optimization","display_name":"A Self-Guided Reference Vector Strategy for Many-Objective Optimization","publication_year":2020,"publication_date":"2020-05-08","ids":{"openalex":"https://openalex.org/W3023559047","doi":"https://doi.org/10.1109/tcyb.2020.2971638","mag":"3023559047","pmid":"https://pubmed.ncbi.nlm.nih.gov/32396116"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2971638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2971638","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5037871091","display_name":"Songbai Liu","orcid":null},"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"]},{"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","HK"],"is_corresponding":true,"raw_author_name":"Songbai Liu","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China","Department of Computer Science, City University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"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/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":false,"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/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/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, Evolutionary Computation Group, CINVESTAV-IPN, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Evolutionary Computation Group, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393871","display_name":"Jianqiang Li","orcid":"https://orcid.org/0000-0002-2208-962X"},"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":"Jianqiang Li","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/A5100633973","display_name":"Zhong Ming","orcid":"https://orcid.org/0000-0001-9310-3460"},"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":"Zhong Ming","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/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Victoria University, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5037871091"],"corresponding_institution_ids":["https://openalex.org/I168719708","https://openalex.org/I180726961"],"apc_list":null,"apc_paid":null,"fwci":4.9076,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.95972482,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"52","issue":"2","first_page":"1164","last_page":"1178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9900000095367432,"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/cluster-analysis","display_name":"Cluster analysis","score":0.6410598754882812},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5860650539398193},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.5856272578239441},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5415369272232056},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5091959834098816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4689810872077942},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4268149733543396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38289833068847656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37725406885147095},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25825035572052},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1376173198223114}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6410598754882812},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5860650539398193},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.5856272578239441},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5415369272232056},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5091959834098816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4689810872077942},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4268149733543396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38289833068847656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37725406885147095},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25825035572052},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1376173198223114},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.2971638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2971638","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:32396116","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32396116","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":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"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/G7097245526","display_name":null,"funder_award_id":"61836005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7207572663","display_name":null,"funder_award_id":"61672358","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7336012389","display_name":null,"funder_award_id":"2017A030313338","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W61339854","https://openalex.org/W1493761729","https://openalex.org/W1608317386","https://openalex.org/W1614186689","https://openalex.org/W1662894842","https://openalex.org/W1968219458","https://openalex.org/W1997053037","https://openalex.org/W1998310770","https://openalex.org/W2015244507","https://openalex.org/W2021418037","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2024008934","https://openalex.org/W2040622444","https://openalex.org/W2049862811","https://openalex.org/W2050914643","https://openalex.org/W2067544246","https://openalex.org/W2085507535","https://openalex.org/W2090797242","https://openalex.org/W2098291760","https://openalex.org/W2102365077","https://openalex.org/W2103839413","https://openalex.org/W2103971587","https://openalex.org/W2108968575","https://openalex.org/W2112912151","https://openalex.org/W2120091775","https://openalex.org/W2125308499","https://openalex.org/W2126105956","https://openalex.org/W2127459836","https://openalex.org/W2128357515","https://openalex.org/W2132914434","https://openalex.org/W2143381319","https://openalex.org/W2146713522","https://openalex.org/W2165835468","https://openalex.org/W2283268937","https://openalex.org/W2312339748","https://openalex.org/W2326149522","https://openalex.org/W2343601797","https://openalex.org/W2466060750","https://openalex.org/W2469950730","https://openalex.org/W2502932208","https://openalex.org/W2512033555","https://openalex.org/W2521918431","https://openalex.org/W2556421959","https://openalex.org/W2563621803","https://openalex.org/W2570235502","https://openalex.org/W2582113504","https://openalex.org/W2594575977","https://openalex.org/W2599937626","https://openalex.org/W2601163767","https://openalex.org/W2607407907","https://openalex.org/W2609579687","https://openalex.org/W2735649024","https://openalex.org/W2746947413","https://openalex.org/W2747987652","https://openalex.org/W2751605210","https://openalex.org/W2791738125","https://openalex.org/W2806543899","https://openalex.org/W2808978750","https://openalex.org/W2819774736","https://openalex.org/W2884749649","https://openalex.org/W2888790369","https://openalex.org/W2901820271","https://openalex.org/W2906148503","https://openalex.org/W2906642565","https://openalex.org/W2914106598","https://openalex.org/W3008615321","https://openalex.org/W3101214305","https://openalex.org/W4245436919","https://openalex.org/W4254882341","https://openalex.org/W4292864963","https://openalex.org/W6678914141","https://openalex.org/W6771627385","https://openalex.org/W6774552830"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W1988907606"],"abstract_inverted_index":{"Generally,":[0],"decomposition-based":[1],"evolutionary":[2],"algorithms":[3],"in":[4],"many-objective":[5,170],"optimization":[6,171],"(MaOEA/Ds)":[7],"have":[8],"widely":[9],"used":[10,82],"reference":[11],"vectors":[12],"(RVs)":[13],"to":[14,57,83,91,97,108],"provide":[15],"search":[16,115],"directions":[17],"and":[18,37,175],"maintain":[19],"diversity.":[20],"However,":[21],"their":[22],"performance":[23],"is":[24,81,126,147],"highly":[25],"affected":[26],"by":[27],"the":[28,32,35,38,61,85,93,100,114,119,135,150,161],"matching":[29],"degree":[30],"on":[31],"shapes":[33],"of":[34,121,142,163],"RVs":[36,59,111,151],"Pareto":[39],"front":[40],"(PF).":[41],"To":[42,70,117],"address":[43],"this":[44,46,122],"problem,":[45],"article":[47],"proposes":[48],"a":[49,64,72,139],"self-guided":[50],"RV":[51],"(SRV)":[52],"strategy":[53,80,141],"for":[54,112],"MaOEA/Ds,":[55],"aiming":[56,96],"extract":[58],"from":[60],"population":[62],"using":[63],"modified":[65],"k":[66],"-means":[67],"clustering":[68,74],"method.":[69],"give":[71],"promising":[73],"result,":[75],"an":[76],"angle-based":[77],"density":[78],"measurement":[79],"initialize":[84],"centroids,":[86],"which":[87],"are":[88,106,152],"then":[89],"adjusted":[90,153],"obtain":[92,109],"final":[94],"clusters,":[95],"properly":[98],"reflect":[99],"population's":[101],"distribution.":[102],"Afterward,":[103],"these":[104],"centroids":[105],"extracted":[107],"adaptive":[110],"self-guiding":[113],"process.":[116],"verify":[118],"effectiveness":[120],"SRV":[123,144,165],"strategy,":[124,166],"it":[125],"embedded":[127],"into":[128,145],"three":[129],"well-known":[130],"MaOEA/Ds":[131,146],"that":[132],"originally":[133],"use":[134],"fixed":[136],"RVs.":[137],"Moreover,":[138],"new":[140],"embedding":[143],"discussed":[148],"when":[149,167],"at":[154],"each":[155],"generation.":[156],"The":[157],"simulation":[158],"results":[159],"validate":[160],"superiority":[162],"our":[164],"tackling":[168],"numerous":[169],"problems":[172],"with":[173],"regular":[174],"irregular":[176],"PFs.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
