{"id":"https://openalex.org/W7165923417","doi":"https://doi.org/10.1109/jas.2026.125852","title":"An Efficient Evolutionary Algorithm for Few-for-Many Optimization","display_name":"An Efficient Evolutionary Algorithm for Few-for-Many Optimization","publication_year":2026,"publication_date":"2026-06-01","ids":{"openalex":"https://openalex.org/W7165923417","doi":"https://doi.org/10.1109/jas.2026.125852"},"language":null,"primary_location":{"id":"doi:10.1109/jas.2026.125852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2026.125852","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2601.06387","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139348966","display_name":"Ke Shang","orcid":null},"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"]},{"id":"https://openalex.org/I3131625388","display_name":"University Town of Shenzhen","ror":"https://ror.org/05f5j6225","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131625388"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Shang","raw_affiliation_strings":["School of Artificial Intelligence, Shenzhen University,Shenzhen,China,518060"],"raw_orcid":"https://orcid.org/0000-0003-2363-9504","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Shenzhen University,Shenzhen,China,518060","institution_ids":["https://openalex.org/I180726961","https://openalex.org/I3131625388"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139344053","display_name":"Hisao Ishibuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hisao Ishibuchi","raw_affiliation_strings":["Southern University of Science and Technology,Department of Computer Science and Engineering,Shenzhen,China,518055"],"raw_orcid":"https://orcid.org/0000-0001-9186-6472","affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology,Department of Computer Science and Engineering,Shenzhen,China,518055","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139310330","display_name":"Zexuan Zhu","orcid":null},"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"]},{"id":"https://openalex.org/I3131625388","display_name":"University Town of Shenzhen","ror":"https://ror.org/05f5j6225","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131625388"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zexuan Zhu","raw_affiliation_strings":["School of Artificial Intelligence, Shenzhen University,Shenzhen,China,518060"],"raw_orcid":"https://orcid.org/0000-0001-8479-6904","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Shenzhen University,Shenzhen,China,518060","institution_ids":["https://openalex.org/I180726961","https://openalex.org/I3131625388"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036390522","display_name":"Q. Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Qingfu Zhang","raw_affiliation_strings":["City University of Hong Kong,Department of Computer Science,Hong Kong SAR,China"],"raw_orcid":"https://orcid.org/0000-0003-0786-0671","affiliations":[{"raw_affiliation_string":"City University of Hong Kong,Department of Computer Science,Hong Kong SAR,China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.84701737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"6","first_page":"1362","last_page":"1377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9937000274658203,"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":0.9937000274658203,"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/T11053","display_name":"Process Optimization and Integration","score":0.0005000000237487257,"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"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.0005000000237487257,"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/benchmark","display_name":"Benchmark (surveying)","score":0.6632999777793884},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.621399998664856},{"id":"https://openalex.org/keywords/test-suite","display_name":"Test suite","score":0.5533999800682068},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5338000059127808},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.492900013923645},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4851999878883362},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4611999988555908},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.45489999651908875}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6686999797821045},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6632999777793884},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.621399998664856},{"id":"https://openalex.org/C151552104","wikidata":"https://www.wikidata.org/wiki/Q7705809","display_name":"Test suite","level":4,"score":0.5533999800682068},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5338000059127808},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.492900013923645},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4887999892234802},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4851999878883362},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.45489999651908875},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.4163999855518341},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4163999855518341},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.38909998536109924},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.3499000072479248},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.33660000562667847},{"id":"https://openalex.org/C128942645","wikidata":"https://www.wikidata.org/wiki/Q1568346","display_name":"Test case","level":3,"score":0.3278000056743622},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3149999976158142},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.31450000405311584},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2734000086784363},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2703999876976013}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/jas.2026.125852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2026.125852","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2601.06387","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2601.06387","pdf_url":"https://arxiv.org/pdf/2601.06387","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2601.06387","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2601.06387","pdf_url":"https://arxiv.org/pdf/2601.06387","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3699435380","display_name":null,"funder_award_id":"62472292","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6276227692","display_name":null,"funder_award_id":"62471310","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6428057907","display_name":null,"funder_award_id":"2025A1515011638","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G8451601991","display_name":null,"funder_award_id":"62376115","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G973571624","display_name":null,"funder_award_id":"62472292,62471310,62376115","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/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7165923417.pdf","grobid_xml":"https://content.openalex.org/works/W7165923417.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Few-for-many":[0],"(F4M)":[1],"optimization,":[2,11,68],"recently":[3],"introduced":[4],"as":[5],"a":[6,15,23,47,72,91,109,146,178],"novel":[7,110],"paradigm":[8],"in":[9],"multi-objective":[10,139],"aims":[12],"to":[13,52,102,142,170],"find":[14],"small":[16,48],"set":[17,51],"of":[18,26,39,66,98,166,181,186],"solutions":[19],"that":[20],"effectively":[21],"handle":[22],"large":[24,179],"number":[25,180],"conflicting":[27],"objectives.":[28,182],"Unlike":[29],"traditional":[30],"many-objective":[31],"optimization":[32,44,82,118,140],"methods,":[33],"which":[34],"typically":[35],"attempt":[36],"comprehensive":[37],"coverage":[38],"the":[40,60,96,121,124,153,163,187],"Pareto":[41],"front,":[42],"F4M":[43,67,81,99,117,128,148],"emphasizes":[45],"finding":[46],"representative":[49],"solution":[50],"efficiently":[53,79],"address":[54],"high-dimensional":[55],"objective":[56,97],"spaces.":[57],"Motivated":[58],"by":[59,85,95,119],"computational":[61],"complexity":[62],"and":[63,127],"practical":[64],"relevance":[65],"this":[69],"paper":[70],"proposes":[71],"new":[73],"evolutionary":[74],"algorithm":[75,168,189],"explicitly":[76],"tailored":[77],"for":[78,116],"solving":[80],"problems.":[83],"Inspired":[84],"SMS-EMOA,":[86],"our":[87,167],"proposed":[88,188],"approach":[89],"employs":[90],"$(\u03bc+1)$-evolution":[92],"strategy":[93],"guided":[94],"optimization.":[100],"Furthermore,":[101],"facilitate":[103],"rigorous":[104],"performance":[105,165],"assessment,":[106],"we":[107],"propose":[108],"benchmark":[111],"test":[112,131],"suite":[113,132],"specifically":[114],"designed":[115],"leveraging":[120],"similarity":[122],"between":[123],"R2":[125],"indicator":[126],"formulations.":[129],"Our":[130],"is":[133,196],"highly":[134],"flexible,":[135],"allowing":[136],"any":[137],"existing":[138,171],"problem":[141],"be":[143,191],"transformed":[144],"into":[145],"corresponding":[147],"instance":[149],"via":[150],"scalarization":[151],"using":[152],"weighted":[154],"Tchebycheff":[155],"function.":[156],"Comprehensive":[157],"experimental":[158],"evaluations":[159],"on":[160,175],"benchmarks":[161],"demonstrate":[162],"superior":[164],"compared":[169],"state-of-the-art":[172],"algorithms,":[173],"especially":[174],"instances":[176],"involving":[177],"The":[183],"source":[184],"code":[185,195],"will":[190],"released":[192],"publicly.":[193],"Source":[194],"available":[197],"at":[198],"https://github.com/MOL-SZU/SoM-EMOA.":[199]},"counts_by_year":[],"updated_date":"2026-07-04T06:14:54.683239","created_date":"2026-06-26T00:00:00"}
