{"id":"https://openalex.org/W4378071034","doi":"https://doi.org/10.1007/s40747-023-01074-8","title":"Multi-population cooperative teaching\u2013learning-based optimization for nonlinear equation systems","display_name":"Multi-population cooperative teaching\u2013learning-based optimization for nonlinear equation systems","publication_year":2023,"publication_date":"2023-05-25","ids":{"openalex":"https://openalex.org/W4378071034","doi":"https://doi.org/10.1007/s40747-023-01074-8"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-023-01074-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01074-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01074-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01074-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027300195","display_name":"Zuowen Liao","orcid":"https://orcid.org/0000-0002-4436-6878"},"institutions":[{"id":"https://openalex.org/I4210128032","display_name":"Beibu Gulf University","ror":"https://ror.org/031j0at32","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128032"]},{"id":"https://openalex.org/I4210139142","display_name":"Development Research Center","ror":"https://ror.org/04m6cjv19","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210139142","https://openalex.org/I4210155611"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liao Zuowen","raw_affiliation_strings":["Beibu Gulf Ocean Development Research Center, Beibu Gulf University, Qinzhou, 535000, China","Key Laboratory of Beibu Gulf Offshore Engineering Equipment And Technology (Beibu Gulf University), Education Department of Guangxi Zhuang Autonomous Region, Qinzhou, 535011, China"],"affiliations":[{"raw_affiliation_string":"Beibu Gulf Ocean Development Research Center, Beibu Gulf University, Qinzhou, 535000, China","institution_ids":["https://openalex.org/I4210128032","https://openalex.org/I4210139142"]},{"raw_affiliation_string":"Key Laboratory of Beibu Gulf Offshore Engineering Equipment And Technology (Beibu Gulf University), Education Department of Guangxi Zhuang Autonomous Region, Qinzhou, 535011, China","institution_ids":["https://openalex.org/I4210128032"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023809706","display_name":"Shuijia Li","orcid":"https://orcid.org/0000-0003-3838-0072"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Shuijia","raw_affiliation_strings":["School of Computer Science, China University of Geosciences, Wuhan, 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, China University of Geosciences, Wuhan, 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Gong Wenyin","orcid":null},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gong Wenyin","raw_affiliation_strings":["School of Computer Science, China University of Geosciences, Wuhan, 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, China University of Geosciences, Wuhan, 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103663724","display_name":"Gu Qiong","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113795","display_name":"Hubei University of Arts and Science","ror":"https://ror.org/0212jcf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210113795"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gu Qiong","raw_affiliation_strings":["School of Computer Engineering, Hubei University of Arts and Science, Xiangyang, 441053, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Engineering, Hubei University of Arts and Science, Xiangyang, 441053, China","institution_ids":["https://openalex.org/I4210113795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103663724"],"corresponding_institution_ids":["https://openalex.org/I4210113795"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.8596,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78132033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"9","issue":"6","first_page":"6593","last_page":"6609"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9789000153541565,"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":0.957099974155426,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6119741201400757},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5921793580055237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5905354619026184},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5798486471176147},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5527235865592957},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5272732377052307},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4719381034374237},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46885642409324646},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.37758392095565796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.264525830745697}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6119741201400757},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5921793580055237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5905354619026184},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5798486471176147},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5527235865592957},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5272732377052307},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4719381034374237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46885642409324646},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.37758392095565796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.264525830745697},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-023-01074-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01074-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01074-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:066e41b7b026471382aa7c92596d998d","is_oa":true,"landing_page_url":"https://doaj.org/article/066e41b7b026471382aa7c92596d998d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 9, Iss 6, Pp 6593-6609 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-023-01074-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01074-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01074-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4378071034.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1968005908","https://openalex.org/W1990180092","https://openalex.org/W1998405574","https://openalex.org/W1999284878","https://openalex.org/W2003908715","https://openalex.org/W2015832884","https://openalex.org/W2061438946","https://openalex.org/W2075950107","https://openalex.org/W2105217850","https://openalex.org/W2413527939","https://openalex.org/W2595753752","https://openalex.org/W2622727889","https://openalex.org/W2799780652","https://openalex.org/W2806365404","https://openalex.org/W2883636246","https://openalex.org/W2920472726","https://openalex.org/W2958456210","https://openalex.org/W2963176150","https://openalex.org/W2993081139","https://openalex.org/W2998407949","https://openalex.org/W2998409228","https://openalex.org/W3000629955","https://openalex.org/W3003887406","https://openalex.org/W3041013467","https://openalex.org/W3045439836","https://openalex.org/W3083294680","https://openalex.org/W3091293171","https://openalex.org/W3162017678","https://openalex.org/W3176392102","https://openalex.org/W3181342409","https://openalex.org/W3200051949","https://openalex.org/W4213227126","https://openalex.org/W4223490508","https://openalex.org/W4225851404"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2087240539","https://openalex.org/W4205762803","https://openalex.org/W4236520801","https://openalex.org/W2535856026","https://openalex.org/W2122599759","https://openalex.org/W2736674626","https://openalex.org/W2973875853","https://openalex.org/W2389192348"],"abstract_inverted_index":{"Abstract":[0],"Solving":[1],"nonlinear":[2],"equation":[3],"systems":[4],"(NESs)":[5],"requires":[6],"locating":[7],"different":[8],"roots":[9],"in":[10,63,83,117],"one":[11],"run.":[12],"To":[13],"effectively":[14],"deal":[15],"with":[16],"NESs,":[17],"a":[18],"multi-population":[19],"cooperative":[20],"teaching\u2013learning-based":[21],"optimization,":[22],"named":[23],"MCTLBO,":[24],"is":[25,56],"presented.":[26],"The":[27],"innovations":[28],"of":[29],"MCTLBO":[30,89,102,113],"are":[31,42,76],"as":[32],"follows:":[33],"(i)":[34],"two":[35],"niching":[36],"technique":[37],"(crowding":[38],"and":[39,86,96],"improved":[40],"speciation)":[41],"integrated":[43],"into":[44],"the":[45,60,64,68,80,84,97],"algorithm":[46],"to":[47,58,78],"enhance":[48],"population":[49],"diversity;":[50],"(ii)":[51],"an":[52],"adaptive":[53],"selection":[54],"scheme":[55],"proposed":[57],"select":[59],"learning":[61,70,75,87],"rules":[62,71],"teaching":[65,85],"phase;":[66],"(iii)":[67],"new":[69,119],"based":[72],"on":[73,92],"experience":[74],"developed":[77],"promote":[79],"search":[81],"efficiency":[82],"phases.":[88],"was":[90],"tested":[91],"30":[93],"classical":[94],"problems":[95],"experimental":[98],"results":[99,116],"show":[100],"that":[101],"has":[103],"better":[104],"root":[105],"finding":[106],"performance":[107],"than":[108],"other":[109],"algorithms.":[110],"In":[111],"addition,":[112],"achieves":[114],"competitive":[115],"eighteen":[118],"test":[120],"sets.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
