{"id":"https://openalex.org/W2597658364","doi":"https://doi.org/10.3233/ica-170542","title":"A region division based diversity maintaining approach for many-objective optimization","display_name":"A region division based diversity maintaining approach for many-objective optimization","publication_year":2017,"publication_date":"2017-03-31","ids":{"openalex":"https://openalex.org/W2597658364","doi":"https://doi.org/10.3233/ica-170542","mag":"2597658364"},"language":"en","primary_location":{"id":"doi:10.3233/ica-170542","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ica-170542","pdf_url":null,"source":{"id":"https://openalex.org/S107631664","display_name":"Integrated Computer-Aided Engineering","issn_l":"1069-2509","issn":["1069-2509","1875-8835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrated Computer-Aided Engineering","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/A5108060216","display_name":"Linqiang Pan","orcid":"https://orcid.org/0000-0002-4554-455X"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linqiang Pan","raw_affiliation_strings":["Key Laboratory of Image Information Processing and Intelligent Control of Education Ministry of China, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China","School of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Information Processing and Intelligent Control of Education Ministry of China, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100330330","display_name":"Cheng He","orcid":"https://orcid.org/0000-0003-4218-8454"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng He","raw_affiliation_strings":["Key Laboratory of Image Information Processing and Intelligent Control of Education Ministry of China, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Information Processing and Intelligent Control of Education Ministry of China, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","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":false,"raw_author_name":"Ye Tian","raw_affiliation_strings":["Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, 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 230039, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"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":true,"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 230039, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Institute of Bio-Inspired Intelligence and Mining Knowledge, School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028634381"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":10.5939,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.98786657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"24","issue":"3","first_page":"279","last_page":"296"},"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":0.9968000054359436,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7393477559089661},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6749043464660645},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6577222347259521},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6481714844703674},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5941240191459656},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.586777925491333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5209656953811646},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4227582812309265},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.41931307315826416},{"id":"https://openalex.org/keywords/test-functions-for-optimization","display_name":"Test functions for optimization","score":0.4174423813819885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4003051519393921},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.2515318989753723}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7393477559089661},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6749043464660645},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6577222347259521},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6481714844703674},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5941240191459656},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.586777925491333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5209656953811646},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4227582812309265},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.41931307315826416},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.4174423813819885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4003051519393921},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.2515318989753723},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ica-170542","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ica-170542","pdf_url":null,"source":{"id":"https://openalex.org/S107631664","display_name":"Integrated Computer-Aided Engineering","issn_l":"1069-2509","issn":["1069-2509","1875-8835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrated Computer-Aided Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W574780178","https://openalex.org/W1488248946","https://openalex.org/W1500125712","https://openalex.org/W1502085589","https://openalex.org/W1519778441","https://openalex.org/W1522538275","https://openalex.org/W1541393282","https://openalex.org/W1546604625","https://openalex.org/W1595498733","https://openalex.org/W1636452744","https://openalex.org/W1739143152","https://openalex.org/W1821324071","https://openalex.org/W1833634424","https://openalex.org/W1950601173","https://openalex.org/W1961473081","https://openalex.org/W1981114175","https://openalex.org/W1985357653","https://openalex.org/W1986793086","https://openalex.org/W2006533296","https://openalex.org/W2018066814","https://openalex.org/W2019955797","https://openalex.org/W2020320008","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2031232041","https://openalex.org/W2043419861","https://openalex.org/W2058142975","https://openalex.org/W2067544246","https://openalex.org/W2071694551","https://openalex.org/W2072661909","https://openalex.org/W2073808436","https://openalex.org/W2102365077","https://openalex.org/W2108913631","https://openalex.org/W2123479902","https://openalex.org/W2129335041","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2146446525","https://openalex.org/W2153654820","https://openalex.org/W2154193105","https://openalex.org/W2167145078","https://openalex.org/W2168663707","https://openalex.org/W2290652772","https://openalex.org/W2343601797","https://openalex.org/W2362298847","https://openalex.org/W2430564265","https://openalex.org/W2466060750","https://openalex.org/W2499398968","https://openalex.org/W2510493362","https://openalex.org/W2559448781","https://openalex.org/W2583230990","https://openalex.org/W2764251381","https://openalex.org/W4206237891","https://openalex.org/W4230614246","https://openalex.org/W4232275715","https://openalex.org/W4300580367","https://openalex.org/W6631460888"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2384474142","https://openalex.org/W1982898157"],"abstract_inverted_index":{"Evolutionary":[0],"algorithms":[1,25,153],"have":[2,26],"been":[3],"used":[4],"to":[5,28,87,133],"solve":[6,134],"a":[7,70,81,166],"variety":[8],"of":[9,90,114,179],"many-objective":[10,32,74,93,151,185],"optimization":[11,33,75,94,168,186],"problems,":[12,187],"where":[13,80],"these":[14,173],"problems":[15,34,97,136,157,174],"contain":[16],"more":[17],"than":[18],"three":[19],"conflicting":[20],"objectives.":[21],"Most":[22],"existing":[23],"evolutionary":[24,76,152],"shown":[27],"perform":[29],"well":[30],"on":[31,48,154,172],"with":[35,98,137,148,191],"regular":[36],"Pareto":[37,51,100,115,139,193],"optima":[38],"l":[39],"fronts,":[40],"their":[41],"performance,":[42],"however,":[43],"will":[44],"often":[45],"considerably":[46],"deteriorate":[47],"those":[49,190],"whose":[50],"optimal":[52,116,140,194],"fronts":[53,117,141],"are":[54],"irregular,":[55],"e.g.,":[56],"discontinuous,":[57],"degenerated":[58],"and":[59,163,165],"convex.":[60],"To":[61],"address":[62],"this":[63,66],"issue,":[64],"in":[65,183],"paper,":[67],"we":[68],"propose":[69],"region":[71,82,105],"division":[72,83,106],"based":[73,107],"algorithm,":[77],"termed":[78],"RdEA,":[79],"approach":[84],"is":[85,118,146],"suggested":[86],"maintain":[88],"diversity":[89,108],"population":[91],"for":[92,96,189],"(especially":[95],"irregular":[99,138,192],"fronts).":[101],"In":[102],"the":[103,111,124,135,177,180],"proposed":[104,144,181],"maintaining":[109],"approach,":[110],"geometric":[112],"information":[113],"taken":[119],"into":[120],"account":[121],"by":[122],"using":[123],"non-dominated":[125],"solutions":[126],"found":[127],"at":[128],"each":[129],"generation,":[130],"which":[131],"helps":[132],"better.":[142],"The":[143],"RdEA":[145],"compared":[147],"five":[149],"state-of-the-art":[150],"16":[155],"test":[156,160],"from":[158],"two":[159],"suites":[161],"DTLZ":[162],"WFG":[164],"real-world":[167],"problem.":[169],"Experimental":[170],"results":[171],"demonstrate":[175],"that":[176],"competitiveness":[178],"algorithm":[182],"solving":[184],"especially":[188],"fronts.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":11}],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2025-10-10T00:00:00"}
