{"id":"https://openalex.org/W4293733478","doi":"https://doi.org/10.1109/tevc.2022.3202723","title":"Two-Stage Multiobjective Evolution Strategy for Constrained Multiobjective Optimization","display_name":"Two-Stage Multiobjective Evolution Strategy for Constrained Multiobjective Optimization","publication_year":2022,"publication_date":"2022-08-29","ids":{"openalex":"https://openalex.org/W4293733478","doi":"https://doi.org/10.1109/tevc.2022.3202723"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2022.3202723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2022.3202723","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/A5100702870","display_name":"Kai Zhang","orcid":"https://orcid.org/0000-0003-0318-3255"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-0318-3255","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036181908","display_name":"Zhiwei Xu","orcid":"https://orcid.org/0000-0003-3767-2049"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Xu","raw_affiliation_strings":["Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-3767-2049","affiliations":[{"raw_affiliation_string":"Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010638666","display_name":"Gary G. Yen","orcid":"https://orcid.org/0000-0001-8851-5348"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary G. Yen","raw_affiliation_strings":["School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, OK, USA"],"raw_orcid":"https://orcid.org/0000-0001-8851-5348","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, OK, USA","institution_ids":["https://openalex.org/I115475287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101752357","display_name":"Ling Zhang","orcid":"https://orcid.org/0000-0002-6799-0673"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Zhang","raw_affiliation_strings":["Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Province Key Laboratory of Intelligent Information Processing and Real-Time Industrial System, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100702870"],"corresponding_institution_ids":["https://openalex.org/I43922553"],"apc_list":null,"apc_paid":null,"fwci":8.6808,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.98316781,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"28","issue":"1","first_page":"17","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9948999881744385,"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":0.96670001745224,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7367044687271118},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6069585680961609},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5895804166793823},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5401661992073059},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5224612951278687},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4745917022228241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47134682536125183},{"id":"https://openalex.org/keywords/premature-convergence","display_name":"Premature convergence","score":0.46110042929649353},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.41587454080581665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39830726385116577},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.1342340111732483}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7367044687271118},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6069585680961609},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5895804166793823},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5401661992073059},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5224612951278687},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4745917022228241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47134682536125183},{"id":"https://openalex.org/C58758708","wikidata":"https://www.wikidata.org/wiki/Q7240233","display_name":"Premature convergence","level":3,"score":0.46110042929649353},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.41587454080581665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39830726385116577},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.1342340111732483},{"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2022.3202723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2022.3202723","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":[{"score":0.699999988079071,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G3168074449","display_name":null,"funder_award_id":"61602350","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4084259952","display_name":null,"funder_award_id":"62176191","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8570679527","display_name":null,"funder_award_id":"U1803262","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W1972894197","https://openalex.org/W1977943938","https://openalex.org/W2005666100","https://openalex.org/W2008002935","https://openalex.org/W2039355869","https://openalex.org/W2047804641","https://openalex.org/W2085364807","https://openalex.org/W2085507535","https://openalex.org/W2093505886","https://openalex.org/W2098907614","https://openalex.org/W2111761631","https://openalex.org/W2114934447","https://openalex.org/W2126105956","https://openalex.org/W2143585163","https://openalex.org/W2151339633","https://openalex.org/W2151453279","https://openalex.org/W2156194072","https://openalex.org/W2345178486","https://openalex.org/W2432516117","https://openalex.org/W2764251381","https://openalex.org/W2789962518","https://openalex.org/W2793098561","https://openalex.org/W2885304550","https://openalex.org/W2912180855","https://openalex.org/W2914106598","https://openalex.org/W2920873891","https://openalex.org/W2962873766","https://openalex.org/W2962947982","https://openalex.org/W2963115819","https://openalex.org/W2963371534","https://openalex.org/W2982328033","https://openalex.org/W2992683702","https://openalex.org/W2995430847","https://openalex.org/W2999932902","https://openalex.org/W3004019026","https://openalex.org/W3012133843","https://openalex.org/W3014409093","https://openalex.org/W3036925570","https://openalex.org/W3119755290","https://openalex.org/W3126639668","https://openalex.org/W3133850968","https://openalex.org/W3134125492","https://openalex.org/W3140707475","https://openalex.org/W3155310843","https://openalex.org/W3164463895","https://openalex.org/W3167591632","https://openalex.org/W3195664246","https://openalex.org/W3215619686","https://openalex.org/W6608886761","https://openalex.org/W6717764351"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2073147994","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W2384474142","https://openalex.org/W3083133203","https://openalex.org/W2744462909","https://openalex.org/W1971520370","https://openalex.org/W1588199609","https://openalex.org/W1550055091"],"abstract_inverted_index":{"For":[0],"the":[1,32,49,65,79,100,110,116,124,135,150,161,164,172,178,182,185,194,205,217,222,229],"past":[2],"many":[3],"years,":[4],"several":[5],"constrained":[6,16,35,72,138,179,198],"multiobjective":[7],"evolutionary":[8],"algorithms":[9],"(CMOEAs)":[10],"have":[11],"been":[12,86],"designed":[13],"for":[14,58],"solving":[15,71],"multi-objective":[17],"optimization":[18],"problems":[19],"(CMOPs).":[20],"In":[21,160,181],"these":[22],"CMOEAs,":[23,215],"some":[24,41],"constraint-handling":[25],"techniques":[26],"(CHTs)":[27],"were":[28],"proposed":[29,91,125,151,165,206,223],"to":[30,48,123,133,157,192,210],"balance":[31,134],"convergence":[33,47,136],"and":[34,53,115,137,216,232],"satisfaction,":[36],"however,":[37],"they":[38],"still":[39],"face":[40],"serious":[42],"challenges,":[43],"such":[44],"as":[45],"premature":[46],"local":[50,148],"optimal":[51],"region":[52],"labor-intensive":[54],"tuning":[55],"of":[56,64,127,204,212],"parameters":[57],"a":[59,92,154],"specific":[60],"CMOP.":[61],"Furthermore,":[62],"most":[63],"existing":[66],"CHTs":[67],"are":[68],"derived":[69],"by":[70,113,120],"single-objective":[73],"optimization.":[74],"The":[75,202],"information":[76],"hidden":[77],"from":[78],"feasible":[80],"non-dominated":[81],"set":[82],"(FNDS)":[83],"has":[84],"not":[85,118,131],"fully":[87],"utilized.":[88],"This":[89],"study":[90],"novel":[93],"parameter-less":[94],"constraint":[95,187],"handling":[96,188],"technique,":[97],"which":[98],"divides":[99],"entire":[101],"population":[102,195],"into":[103],"three":[104],"mutually":[105],"exclusive":[106],"subsets":[107],"dynamically:":[108],"FNDS,":[109,114],"subset":[111,117],"dominated":[112,119],"FNDS.":[121],"According":[122],"division":[126],"labor,":[128],"it":[129],"is":[130,190],"necessary":[132],"satisfaction":[139],"in":[140,147],"each":[141],"subset.":[142],"To":[143],"avoid":[144],"being":[145],"entrapped":[146],"optima,":[149],"algorithm":[152,166,207,224],"adopts":[153],"two-stage":[155],"strategy":[156],"solve":[158],"CMOPs.":[159],"first":[162],"stage,":[163,184],"focuses":[167],"solely":[168],"on":[169,228],"converging":[170,196],"toward":[171,197],"unconstrained":[173],"Pareto":[174,199],"front":[175,200],"without":[176],"considering":[177],"satisfaction.":[180],"second":[183],"FNDS":[186],"technique":[189],"adopted":[191],"guide":[193],"effectively.":[201],"performance":[203],"was":[208],"compared":[209],"that":[211,221],"nine":[213],"state-of-the-art":[214],"comparison":[218],"results":[219],"show":[220],"performs":[225],"significantly":[226],"better":[227],"CF,":[230],"MW,":[231],"LIRCMOP":[233],"test":[234],"suites.":[235]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":9}],"updated_date":"2026-05-19T08:33:51.333923","created_date":"2025-10-10T00:00:00"}