{"id":"https://openalex.org/W4407128539","doi":"https://doi.org/10.1109/tcyb.2025.3531449","title":"Two-Stage Cooperation Multiobjective Evolutionary Algorithm Guided by Constraint-Sensitive Variables","display_name":"Two-Stage Cooperation Multiobjective Evolutionary Algorithm Guided by Constraint-Sensitive Variables","publication_year":2025,"publication_date":"2025-02-04","ids":{"openalex":"https://openalex.org/W4407128539","doi":"https://doi.org/10.1109/tcyb.2025.3531449","pmid":"https://pubmed.ncbi.nlm.nih.gov/40031725"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3531449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3531449","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/A5113225592","display_name":"Jun Ma","orcid":"https://orcid.org/0000-0002-6773-3802"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Ma","raw_affiliation_strings":["Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087571051","display_name":"Zhang Yon","orcid":"https://orcid.org/0000-0003-0026-8181"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Zhang","raw_affiliation_strings":["School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101490563","display_name":"Dunwei Gong","orcid":"https://orcid.org/0000-0003-2838-4301"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dun-Wei Gong","raw_affiliation_strings":["College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, Shandong, China"],"affiliations":[{"raw_affiliation_string":"College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, Shandong, China","institution_ids":["https://openalex.org/I143413998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003491781","display_name":"Xiao\u2010Zhi Gao","orcid":"https://orcid.org/0000-0002-0078-5675"},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Xiao-Zhi Gao","raw_affiliation_strings":["School of Computing, University of Eastern Finland, Kuopio, Finland"],"affiliations":[{"raw_affiliation_string":"School of Computing, University of Eastern Finland, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102706602","display_name":"Chao Peng","orcid":"https://orcid.org/0000-0001-6561-823X"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Peng","raw_affiliation_strings":["School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5113225592"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":13.7069,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.98348435,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"1450","last_page":"1463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.7996000051498413,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.7996000051498413,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.78329998254776,"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/T14474","display_name":"Industrial Technology and Control Systems","score":0.7409999966621399,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/constraint","display_name":"Constraint (computer-aided design)","score":0.6952635049819946},{"id":"https://openalex.org/keywords/stage","display_name":"Stage (stratigraphy)","score":0.6601884365081787},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6253858208656311},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5323982834815979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49860501289367676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4783187210559845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32369402050971985},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.128240704536438}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6952635049819946},{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.6601884365081787},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6253858208656311},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5323982834815979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49860501289367676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4783187210559845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32369402050971985},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.128240704536438},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3531449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3531449","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:40031725","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40031725","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/G272230378","display_name":null,"funder_award_id":"62133015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6333121269","display_name":null,"funder_award_id":"62273348","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W1977943938","https://openalex.org/W2018980645","https://openalex.org/W2085364807","https://openalex.org/W2085507535","https://openalex.org/W2106980278","https://openalex.org/W2121429049","https://openalex.org/W2126105956","https://openalex.org/W2151339633","https://openalex.org/W2152195021","https://openalex.org/W2329749247","https://openalex.org/W2510493362","https://openalex.org/W2764251381","https://openalex.org/W2912180855","https://openalex.org/W2914106598","https://openalex.org/W2962873766","https://openalex.org/W2962947982","https://openalex.org/W2963115819","https://openalex.org/W2982328033","https://openalex.org/W3012133843","https://openalex.org/W3026597594","https://openalex.org/W3036925570","https://openalex.org/W3042867336","https://openalex.org/W3095915389","https://openalex.org/W3126639668","https://openalex.org/W3134125492","https://openalex.org/W3164463895","https://openalex.org/W3193603477","https://openalex.org/W3194886076","https://openalex.org/W3195664246","https://openalex.org/W4206608859","https://openalex.org/W4206918614","https://openalex.org/W4214710237","https://openalex.org/W4214941022","https://openalex.org/W4220719186","https://openalex.org/W4224118916","https://openalex.org/W4281788498","https://openalex.org/W4282917145","https://openalex.org/W4283383265","https://openalex.org/W4285219208","https://openalex.org/W4293093624","https://openalex.org/W4293178505","https://openalex.org/W4293733478","https://openalex.org/W4293762625","https://openalex.org/W4295837813","https://openalex.org/W4306169065","https://openalex.org/W4306406031","https://openalex.org/W4309047535","https://openalex.org/W4312275064","https://openalex.org/W4312801625","https://openalex.org/W4313291093","https://openalex.org/W4313461204","https://openalex.org/W4319341403","https://openalex.org/W4319845007","https://openalex.org/W4320015745","https://openalex.org/W4360594780","https://openalex.org/W4385194762","https://openalex.org/W4388624617","https://openalex.org/W4390075039","https://openalex.org/W4390660032","https://openalex.org/W4390692589","https://openalex.org/W4390939837","https://openalex.org/W4391248928","https://openalex.org/W4393034400","https://openalex.org/W4398249168","https://openalex.org/W4402509532","https://openalex.org/W6796153250"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2329386257","https://openalex.org/W2503350049","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2397616145","https://openalex.org/W2187401768","https://openalex.org/W2349580982","https://openalex.org/W2887328214"],"abstract_inverted_index":{"Constrained":[0],"multiobjective":[1,16,58],"optimization":[2],"problems":[3,163],"are":[4,123],"widespread":[5],"in":[6,34,105],"practical":[7],"engineering":[8,162],"fields.":[9],"Scholars":[10],"have":[11],"proposed":[12,142],"various":[13],"effective":[14,45],"constrained":[15],"evolutionary":[17,59],"algorithms":[18,26],"(CMOEAs)":[19],"for":[20,48,149],"such":[21],"problems.":[22],"However,":[23],"most":[24],"existing":[25],"overlook":[27],"the":[28,36,69,87,102,106,165,168],"differences":[29],"between":[30],"different":[31,150],"decision":[32,121],"variables":[33,64,122],"influencing":[35],"degree":[37],"of":[38,94,152,167],"constraint":[39],"violation":[40],"and":[41,130,134,160],"still":[42],"lack":[43],"an":[44],"handling":[46],"mechanism":[47],"constraint-sensitive":[49,63,110,129],"variables.":[50,153],"To":[51],"address":[52],"this":[53,119],"issue,":[54],"a":[55,72,79,92,109,135],"two-stage":[56],"cooperation":[57,113],"algorithm":[60],"guided":[61],"by":[62,99],"(CV-TCMOEA)":[65],"is":[66,83,116,141],"proposed.":[67],"In":[68,118],"first":[70],"stage,":[71,108],"relatively":[73],"simple":[74],"auxiliary":[75,103],"problem":[76],"with":[77,101],"only":[78],"few":[80],"dominant":[81],"constraints":[82],"constructed":[84],"to":[85,143],"approximate":[86,95],"original":[88],"problem.":[89],"After":[90],"obtaining":[91],"set":[93],"Pareto":[96],"optimal":[97],"solutions":[98],"dealing":[100],"problem,":[104],"second":[107],"variable-guided":[111],"multistrategy":[112],"search":[114,147],"method":[115],"developed.":[117],"method,":[120],"divided":[124],"into":[125],"two":[126],"types:":[127],"1)":[128],"2)":[131],"constraint-insensitive":[132],"variables,":[133],"variable-type-guided":[136],"cooperative":[137],"individual":[138],"update":[139],"strategy":[140],"autonomously":[144],"select":[145],"appropriate":[146],"strategies":[148],"types":[151],"Experimental":[154],"results":[155],"on":[156],"28":[157],"benchmark":[158],"functions":[159],"10":[161],"demonstrated":[164],"superiority":[166],"CV-TCMOEA":[169],"over":[170],"seven":[171],"state-of-the-art":[172],"CMOEAs.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}