{"id":"https://openalex.org/W2931216254","doi":"https://doi.org/10.1155/2019/7436712","title":"Evolutionary Search with Multiple Utopian Reference Points in Decomposition\u2010Based Multiobjective Optimization","display_name":"Evolutionary Search with Multiple Utopian Reference Points in Decomposition\u2010Based Multiobjective Optimization","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2931216254","doi":"https://doi.org/10.1155/2019/7436712","mag":"2931216254"},"language":"en","primary_location":{"id":"doi:10.1155/2019/7436712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7436712","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7436712.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/7436712.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103173438","display_name":"Wu Lin","orcid":"https://orcid.org/0000-0003-2579-3476"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Lin","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066935890","display_name":"Qiuzhen Lin","orcid":"https://orcid.org/0000-0003-2415-0401"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiuzhen Lin","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052762681","display_name":"Zexuan Zhu","orcid":"https://orcid.org/0000-0001-8479-6904"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zexuan Zhu","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393871","display_name":"Jianqiang Li","orcid":"https://orcid.org/0000-0002-2208-962X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianqiang Li","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044377595","display_name":"Jianyong Chen","orcid":"https://orcid.org/0000-0002-6203-1254"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyong Chen","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100633973","display_name":"Zhong Ming","orcid":"https://orcid.org/0000-0001-9310-3460"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong Ming","raw_affiliation_strings":["College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","College of Computer Science and Software Engineering, Shenzhen University, Shenzhen"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and So ware Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5066935890"],"corresponding_institution_ids":["https://openalex.org/I180726961"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.8,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8631816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9990000128746033,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9986000061035156,"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/decomposition","display_name":"Decomposition","score":0.705143392086029},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6326891183853149},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5349935293197632},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5278235077857971},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.476468563079834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.378036767244339},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.15165650844573975},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.07143467664718628}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.705143392086029},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6326891183853149},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5349935293197632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5278235077857971},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.476468563079834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.378036767244339},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.15165650844573975},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07143467664718628}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/7436712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7436712","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7436712.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:7436712","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/7436712.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:e56994e5deeb4402b460cd6fefa9db4d","is_oa":true,"landing_page_url":"https://doaj.org/article/e56994e5deeb4402b460cd6fefa9db4d","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/7436712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7436712","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7436712.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1477544716","display_name":null,"funder_award_id":"Guangdong","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2948758012","display_name":null,"funder_award_id":"2017A03031333","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G2981938667","display_name":null,"funder_award_id":"Shenzhen","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G319046839","display_name":null,"funder_award_id":"2017A030313","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3757194791","display_name":null,"funder_award_id":"JCYJ20","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4238711426","display_name":null,"funder_award_id":"61876110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4669756164","display_name":null,"funder_award_id":"JCYJ20170817102218122","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5641397543","display_name":null,"funder_award_id":"201708","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6733505969","display_name":null,"funder_award_id":"U1713212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6968067436","display_name":null,"funder_award_id":"2017A03","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7083260906","display_name":null,"funder_award_id":"2017A030313","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7097245526","display_name":null,"funder_award_id":"61836005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7207572663","display_name":null,"funder_award_id":"61672358","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7336012389","display_name":null,"funder_award_id":"2017A030313338","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7781867661","display_name":null,"funder_award_id":"2017A030313338","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"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2931216254.pdf","grobid_xml":"https://content.openalex.org/works/W2931216254.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1418108976","https://openalex.org/W1489264121","https://openalex.org/W1831950995","https://openalex.org/W1853011712","https://openalex.org/W1970031898","https://openalex.org/W1981618184","https://openalex.org/W2006785664","https://openalex.org/W2011048370","https://openalex.org/W2014355058","https://openalex.org/W2015321644","https://openalex.org/W2021418037","https://openalex.org/W2022908021","https://openalex.org/W2023685757","https://openalex.org/W2024008934","https://openalex.org/W2038420231","https://openalex.org/W2043975465","https://openalex.org/W2050712405","https://openalex.org/W2051418921","https://openalex.org/W2052458054","https://openalex.org/W2058142975","https://openalex.org/W2060179935","https://openalex.org/W2062061003","https://openalex.org/W2086391932","https://openalex.org/W2100211715","https://openalex.org/W2102428266","https://openalex.org/W2102625537","https://openalex.org/W2126105956","https://openalex.org/W2129998424","https://openalex.org/W2133346117","https://openalex.org/W2134152443","https://openalex.org/W2142822379","https://openalex.org/W2143381319","https://openalex.org/W2147278573","https://openalex.org/W2150046657","https://openalex.org/W2153654820","https://openalex.org/W2247472518","https://openalex.org/W2293460382","https://openalex.org/W2344916885","https://openalex.org/W2409897564","https://openalex.org/W2582096828","https://openalex.org/W2603447527","https://openalex.org/W2604540094","https://openalex.org/W2616650140","https://openalex.org/W2751553502","https://openalex.org/W2753754628","https://openalex.org/W2764251381","https://openalex.org/W2769746177","https://openalex.org/W2780725426","https://openalex.org/W2781603674","https://openalex.org/W2798139910","https://openalex.org/W2800626663","https://openalex.org/W2806920391","https://openalex.org/W2883572891","https://openalex.org/W2886143841","https://openalex.org/W2894522179","https://openalex.org/W2898650057","https://openalex.org/W2900709917"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2744730182"],"abstract_inverted_index":{"Decomposition\u2010based":[0],"multiobjective":[1,256],"evolutionary":[2,15,60,80,107,133,152,175,257],"algorithms":[3],"(MOEA/Ds)":[4],"have":[5],"become":[6],"increasingly":[7],"popular":[8],"in":[9,24,63,115,210,227],"recent":[10],"years.":[11],"In":[12],"these":[13,202],"MOEA/Ds,":[14,66,121],"search":[16,86,108,134,153,176,229],"is":[17,71,83,124,142,237],"guided":[18],"by":[19,40],"the":[20,29,34,41,45,59,74,79,87,92,100,119,137,165,182,186,194,211,228,263,266,273],"used":[21,72,162],"weight":[22,42,128,157],"vectors":[23,43],"decomposition":[25,35],"function":[26,36],"to":[27,53,85,118,143,163,208,218,253],"approximate":[28,164],"Pareto":[30],"front":[31],"(PF).":[32],"Generally,":[33],"will":[37],"be":[38,178],"constructed":[39,179],"and":[44,56,168,185,216,225,250],"reference":[46,75,113,147,172],"point,":[47,188],"which":[48,82,130,149,189],"play":[49],"an":[50,106,132],"important":[51],"role":[52],"balance":[54,222],"convergence":[55],"diversity":[57],"during":[58],"search.":[61],"However,":[62],"most":[64,271],"existing":[65,120],"only":[67],"one":[68,127],"ideal":[69,183],"point":[70,76,167,184],"as":[73],"for":[77,155,174],"all":[78],"search,":[81],"harmful":[84],"entire":[88],"PF":[89,96,215,248],"when":[90],"tackling":[91,240],"problems":[93,245,275],"with":[94,110,126,246],"difficult\u2010to\u2010approximate":[95,247],"boundaries.":[97],"To":[98],"address":[99],"above":[101],"problem,":[102],"this":[103],"paper":[104],"proposes":[105],"method":[109],"multiple":[111,145,170],"utopian":[112,146,171,203],"points":[114,173,204],"MOEA/Ds.":[116],"Similar":[117],"each":[122],"solution":[123],"associated":[125],"vector,":[129],"provides":[131],"direction,":[135],"while":[136],"novelty":[138],"of":[139,201,214,223,233,265,272],"our":[140,234],"approach":[141],"use":[144,200],"points,":[148],"can":[150,177,205],"provide":[151],"directions":[154],"different":[156],"vectors.":[158],"Corner":[159],"solutions":[160,207],"are":[161,190],"nadir":[166,187],"then":[169],"based":[180],"on":[181,193,239,269],"uniformly":[191],"distributed":[192],"coordinate":[195],"axis":[196],"or":[197],"planes.":[198],"The":[199,231,259],"prevent":[206],"gather":[209],"same":[212],"region":[213],"helps":[217],"strike":[219],"a":[220],"good":[221],"exploration":[224],"exploitation":[226],"space.":[230],"performance":[232],"proposed":[235,243,267],"algorithm":[236,268],"validated":[238],"16":[241],"recently":[242],"test":[244,274],"boundaries":[249],"empirically":[251],"compared":[252],"eight":[254],"state\u2010of\u2010the\u2010art":[255],"algorithms.":[258],"experimental":[260],"results":[261],"demonstrate":[262],"superiority":[264],"solving":[270],"adopted.":[276]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-19T08:26:33.389920","created_date":"2025-10-10T00:00:00"}