{"id":"https://openalex.org/W2997377643","doi":"https://doi.org/10.1109/tsmc.2019.2956288","title":"A Multistage Evolutionary Algorithm for Better Diversity Preservation in Multiobjective Optimization","display_name":"A Multistage Evolutionary Algorithm for Better Diversity Preservation in Multiobjective Optimization","publication_year":2019,"publication_date":"2019-12-24","ids":{"openalex":"https://openalex.org/W2997377643","doi":"https://doi.org/10.1109/tsmc.2019.2956288","mag":"2997377643"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2956288","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2956288","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100330330","display_name":"Cheng He","orcid":"https://orcid.org/0000-0003-4218-8454"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng He","raw_affiliation_strings":["University Key Laboratory of Evolving Intelligent Systems of Guangdong Province, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"University Key Laboratory of Evolving Intelligent Systems of Guangdong Province, Shenzhen, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004036087","display_name":"Ran Cheng","orcid":"https://orcid.org/0000-0001-9410-8263"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ran Cheng","raw_affiliation_strings":["University Key Laboratory of Evolving Intelligent Systems of Guangdong Province, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"University Key Laboratory of Evolving Intelligent Systems of Guangdong Province, Shenzhen, China","institution_ids":[]}]},{"author_position":"last","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":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058755242"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":7.7846,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.9783215,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"51","issue":"9","first_page":"5880","last_page":"5894"},"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":0.9987000226974487,"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":0.9886000156402588,"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":0.72432941198349},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.7148399949073792},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.6856817007064819},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.6827191710472107},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.619554877281189},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6125165820121765},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6010665893554688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5859241485595703},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4533109962940216},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4530666470527649},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41778868436813354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3007875084877014},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2876628637313843},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06666192412376404}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.72432941198349},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.7148399949073792},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.6856817007064819},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.6827191710472107},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.619554877281189},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6125165820121765},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6010665893554688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5859241485595703},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4533109962940216},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4530666470527649},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41778868436813354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3007875084877014},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2876628637313843},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06666192412376404},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"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/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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2019.2956288","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2956288","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1124769320","display_name":null,"funder_award_id":"61876123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1182606078","display_name":null,"funder_award_id":"U1804262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G1997244605","display_name":null,"funder_award_id":"63192616","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2004334719","display_name":null,"funder_award_id":"61906001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2089016108","display_name":null,"funder_award_id":"PAL-N201805","funder_id":"https://openalex.org/F4320335661","funder_display_name":"State Key Laboratory of Synthetical Automation for Process Industries"},{"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/G3814908347","display_name":null,"funder_award_id":"KQTD2016112514355531","funder_id":"https://openalex.org/F4320335790","funder_display_name":"Shenzhen Peacock Plan"},{"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/G5251748003","display_name":null,"funder_award_id":"2017KSYS008","funder_id":"https://openalex.org/F4320316333","funder_display_name":"Program for University Key Laboratory of Guangdong Province"},{"id":"https://openalex.org/G61320532","display_name":null,"funder_award_id":"1908085QF271","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G6134954938","display_name":null,"funder_award_id":"61903178","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7659008788","display_name":null,"funder_award_id":"61906081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8805597337","display_name":null,"funder_award_id":"2017YFC0804003","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320316333","display_name":"Program for University Key Laboratory of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null},{"id":"https://openalex.org/F4320335661","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335790","display_name":"Shenzhen Peacock Plan","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W760913798","https://openalex.org/W1493761729","https://openalex.org/W1522538275","https://openalex.org/W1544309315","https://openalex.org/W1552078229","https://openalex.org/W1553373771","https://openalex.org/W1833634424","https://openalex.org/W1964971655","https://openalex.org/W1967157470","https://openalex.org/W1968219458","https://openalex.org/W1971893679","https://openalex.org/W1974828111","https://openalex.org/W1985357653","https://openalex.org/W2016014758","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2024008934","https://openalex.org/W2055025427","https://openalex.org/W2055142708","https://openalex.org/W2085507535","https://openalex.org/W2095922002","https://openalex.org/W2102365077","https://openalex.org/W2108968575","https://openalex.org/W2112299196","https://openalex.org/W2113058275","https://openalex.org/W2126105956","https://openalex.org/W2128357515","https://openalex.org/W2140886193","https://openalex.org/W2143245714","https://openalex.org/W2143381319","https://openalex.org/W2153654820","https://openalex.org/W2278123559","https://openalex.org/W2283268937","https://openalex.org/W2319383972","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/W2551043114","https://openalex.org/W2558581367","https://openalex.org/W2563621803","https://openalex.org/W2570235502","https://openalex.org/W2583230990","https://openalex.org/W2594575977","https://openalex.org/W2604055362","https://openalex.org/W2616257225","https://openalex.org/W2751605210","https://openalex.org/W2764251381","https://openalex.org/W2766133347","https://openalex.org/W2783781089","https://openalex.org/W2789351846","https://openalex.org/W2802480283","https://openalex.org/W2888338796","https://openalex.org/W2894825269","https://openalex.org/W2897783557","https://openalex.org/W2898121080","https://openalex.org/W2900754213","https://openalex.org/W2901888116","https://openalex.org/W2906115061","https://openalex.org/W2914542742","https://openalex.org/W2920983566","https://openalex.org/W2945280836","https://openalex.org/W2963753818","https://openalex.org/W2994964425","https://openalex.org/W3100195331","https://openalex.org/W4236670843","https://openalex.org/W4285719527","https://openalex.org/W4292408320","https://openalex.org/W6608886761","https://openalex.org/W6631460888","https://openalex.org/W6675537533","https://openalex.org/W6771627385"],"related_works":["https://openalex.org/W2726551571","https://openalex.org/W2996366161","https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2751605210","https://openalex.org/W2977596624","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Diversity":[0],"preservation":[1,35,58,77],"is":[2],"a":[3,23,27,52,63,82],"crucial":[4],"technique":[5],"in":[6,37,45,103,115],"multiobjective":[7],"evolutionary":[8],"algorithms":[9],"(MOEAs),":[10],"which":[11],"aims":[12],"at":[13],"evolving":[14],"the":[15,18,66,72,93,101,108,120,127],"population":[16,102,109],"toward":[17],"Pareto":[19],"front":[20],"(PF)":[21],"with":[22],"uniform":[24],"distribution":[25],"and":[26,106],"good":[28],"extensity.":[29],"In":[30],"spite":[31],"of":[32,41,65,68,74],"many":[33],"diversity":[34,57,76,87,132],"approaches":[36],"existing":[38,56,75,136],"MOEAs,":[39],"most":[40],"them":[42],"encounter":[43],"difficulties":[44],"tackling":[46],"complex":[47],"PFs.":[48],"This":[49],"article":[50,80],"gives":[51],"detail":[53],"introduction":[54],"to":[55,100,119],"approaches,":[59,78],"as":[60,62],"well":[61],"revelation":[64],"limitations":[67,73],"them.":[69],"To":[70],"address":[71],"this":[79],"proposes":[81],"multistage":[83],"MOEA":[84,91,129],"for":[85],"better":[86,131],"performance.":[88],"The":[89],"proposed":[90,128],"divides":[92],"optimization":[94],"process":[95],"into":[96],"multiple":[97],"stages":[98],"according":[99],"each":[104],"generation,":[105],"updates":[107],"by":[110],"different":[111,116],"steady-state":[112],"selection":[113],"schemes":[114],"stages.":[117],"According":[118],"experimental":[121],"results":[122],"on":[123],"21":[124],"benchmark":[125],"problems,":[126],"exhibits":[130],"performance":[133],"than":[134],"11":[135],"MOEAs.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":29},{"year":2024,"cited_by_count":28},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":7}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
