{"id":"https://openalex.org/W2888338796","doi":"https://doi.org/10.1109/tevc.2018.2866854","title":"A Strengthened Dominance Relation Considering Convergence and Diversity for Evolutionary Many-Objective Optimization","display_name":"A Strengthened Dominance Relation Considering Convergence and Diversity for Evolutionary Many-Objective Optimization","publication_year":2018,"publication_date":"2018-08-24","ids":{"openalex":"https://openalex.org/W2888338796","doi":"https://doi.org/10.1109/tevc.2018.2866854","mag":"2888338796"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2018.2866854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2866854","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/A5058755242","display_name":"Ye Tian","orcid":"https://orcid.org/0000-0002-3487-5126"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ye Tian","raw_affiliation_strings":["Institute of Physical Science and Information Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Institute of Physical Science and Information Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004036087","display_name":"Ran Cheng","orcid":"https://orcid.org/0000-0001-9410-8263"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Cheng","raw_affiliation_strings":["Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028634381","display_name":"Xingyi Zhang","orcid":"https://orcid.org/0000-0002-5052-000X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingyi Zhang","raw_affiliation_strings":["Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071754273","display_name":"Yansen Su","orcid":"https://orcid.org/0000-0002-3855-7133"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yansen Su","raw_affiliation_strings":["Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032314861","display_name":"Yaochu Jin","orcid":"https://orcid.org/0000-0003-1100-0631"},"institutions":[{"id":"https://openalex.org/I46305995","display_name":"Taiyuan University of Science and Technology","ror":"https://ror.org/01wcbdc92","country_code":"CN","type":"education","lineage":["https://openalex.org/I46305995"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaochu Jin","raw_affiliation_strings":["Department of Computer Science and Technology, Taiyuan University of Science and Technology, Taiyuan, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Taiyuan University of Science and Technology, Taiyuan, China","institution_ids":["https://openalex.org/I46305995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058755242"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":19.6606,"has_fulltext":false,"cited_by_count":369,"citation_normalized_percentile":{"value":0.9956206,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"23","issue":"2","first_page":"331","last_page":"345"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9955999851226807,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.6714705228805542},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6355282068252563},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5640152096748352},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5623733997344971},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.5219173431396484},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.5124364495277405},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5023970603942871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47507065534591675},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.45463815331459045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4276520609855652},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1649533212184906},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1045769453048706}],"concepts":[{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.6714705228805542},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6355282068252563},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5640152096748352},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5623733997344971},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.5219173431396484},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.5124364495277405},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5023970603942871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47507065534591675},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.45463815331459045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4276520609855652},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1649533212184906},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1045769453048706},{"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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tevc.2018.2866854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2866854","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"},{"id":"pmh:oai:alma.44SUR_INST:11139870920002346","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pub.uni-bielefeld.de:2978451","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2978451","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/1","display_name":"No poverty"}],"awards":[{"id":"https://openalex.org/G1591254444","display_name":null,"funder_award_id":"61822301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2494574696","display_name":null,"funder_award_id":"61672033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3932071694","display_name":null,"funder_award_id":"1808085J06","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G5632676598","display_name":"Data-Driven Surrogate-Assisted Evolutionary Fluid Dynamic Optimisation","funder_award_id":"EP/M017869/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5746312727","display_name":null,"funder_award_id":"61502004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7895016446","display_name":null,"funder_award_id":"61502001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8448577284","display_name":null,"funder_award_id":"EP/M017869/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W77146796","https://openalex.org/W760913798","https://openalex.org/W1480428252","https://openalex.org/W1483470150","https://openalex.org/W1522538275","https://openalex.org/W1561610472","https://openalex.org/W1595498733","https://openalex.org/W1607221389","https://openalex.org/W1662894842","https://openalex.org/W1833634424","https://openalex.org/W1856614156","https://openalex.org/W1967157470","https://openalex.org/W2020320008","https://openalex.org/W2022485595","https://openalex.org/W2025822274","https://openalex.org/W2042011228","https://openalex.org/W2063375245","https://openalex.org/W2067544246","https://openalex.org/W2071694551","https://openalex.org/W2072661909","https://openalex.org/W2081939577","https://openalex.org/W2085507535","https://openalex.org/W2097536098","https://openalex.org/W2102365077","https://openalex.org/W2103476212","https://openalex.org/W2108968575","https://openalex.org/W2113363287","https://openalex.org/W2120091775","https://openalex.org/W2126105956","https://openalex.org/W2128357515","https://openalex.org/W2134152443","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2146446525","https://openalex.org/W2153654820","https://openalex.org/W2167145078","https://openalex.org/W2283268937","https://openalex.org/W2313094906","https://openalex.org/W2329749247","https://openalex.org/W2343601797","https://openalex.org/W2404080558","https://openalex.org/W2466060750","https://openalex.org/W2469950730","https://openalex.org/W2510493362","https://openalex.org/W2570235502","https://openalex.org/W2573114156","https://openalex.org/W2583230990","https://openalex.org/W2588272390","https://openalex.org/W2590959390","https://openalex.org/W2594575977","https://openalex.org/W2751605210","https://openalex.org/W2758271972","https://openalex.org/W2762482744","https://openalex.org/W2764251381","https://openalex.org/W2904250082","https://openalex.org/W2994964425","https://openalex.org/W3023540311","https://openalex.org/W4256661862","https://openalex.org/W4285719527","https://openalex.org/W6628770400","https://openalex.org/W6631460888","https://openalex.org/W6771627385"],"related_works":["https://openalex.org/W4297582752","https://openalex.org/W4285805405","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2751605210","https://openalex.org/W3151104768","https://openalex.org/W2419109832","https://openalex.org/W2391924736"],"abstract_inverted_index":{"Both":[0],"convergence":[1,50,105],"and":[2,51,106,146],"diversity":[3,52],"are":[4],"crucial":[5],"to":[6,24,47,85],"evolutionary":[7,54,148],"many-objective":[8,55,128,147],"optimization,":[9],"whereas":[10],"most":[11],"existing":[12,100,144],"dominance":[13,43,60,97,101,117,136],"relations":[14,102],"show":[15],"poor":[16],"performance":[17],"in":[18,88,103,126],"balancing":[19,104],"them,":[20],"thus":[21],"easily":[22],"leading":[23],"a":[25,31,41],"set":[26],"of":[27,34,133],"solutions":[28],"concentrating":[29],"on":[30,69,114,141],"small":[32],"region":[33],"the":[35,58,70,73,78,95,115,123,134],"Pareto":[36],"fronts.":[37],"In":[38,57],"this":[39],"paper,":[40],"novel":[42],"relation":[44,98,137],"is":[45,66,83,111,138],"proposed":[46,59,96,116,135],"better":[48],"balance":[49],"for":[53],"optimization.":[56],"relation,":[61,118],"an":[62],"adaptive":[63],"niching":[64],"technique":[65],"developed":[67],"based":[68,113],"angles":[71],"between":[72],"candidate":[74,81],"solutions,":[75],"where":[76],"only":[77],"best":[79],"converged":[80],"solution":[82],"identified":[84],"be":[86],"nondominated":[87],"each":[89],"niche.":[90],"Experimental":[91],"results":[92],"demonstrate":[93],"that":[94],"outperforms":[99],"diversity.":[107],"A":[108],"modified":[109],"NSGA-II":[110],"suggested":[112],"which":[119],"shows":[120],"competitiveness":[121],"against":[122],"state-of-the-art":[124],"algorithms":[125],"solving":[127],"optimization":[129],"problems.":[130],"The":[131],"effectiveness":[132],"also":[139],"verified":[140],"several":[142],"other":[143],"multi-":[145],"algorithms.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":15},{"year":2025,"cited_by_count":51},{"year":2024,"cited_by_count":61},{"year":2023,"cited_by_count":75},{"year":2022,"cited_by_count":75},{"year":2021,"cited_by_count":39},{"year":2020,"cited_by_count":34},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}