{"id":"https://openalex.org/W2780725426","doi":"https://doi.org/10.1109/tcyb.2017.2779450","title":"MOEA/HD: A Multiobjective Evolutionary Algorithm Based on Hierarchical Decomposition","display_name":"MOEA/HD: A Multiobjective Evolutionary Algorithm Based on Hierarchical Decomposition","publication_year":2017,"publication_date":"2017-12-25","ids":{"openalex":"https://openalex.org/W2780725426","doi":"https://doi.org/10.1109/tcyb.2017.2779450","mag":"2780725426","pmid":"https://pubmed.ncbi.nlm.nih.gov/29990272"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2017.2779450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2779450","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/A5062501830","display_name":"Hang Xu","orcid":"https://orcid.org/0000-0002-3376-9487"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Xu","raw_affiliation_strings":["School of Software, Xiamen University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0002-3376-9487","affiliations":[{"raw_affiliation_string":"School of Software, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071731927","display_name":"Wenhua Zeng","orcid":"https://orcid.org/0000-0002-5581-0989"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenhua Zeng","raw_affiliation_strings":["School of Software, Xiamen University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0002-5581-0989","affiliations":[{"raw_affiliation_string":"School of Software, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084270607","display_name":"Defu Zhang","orcid":"https://orcid.org/0000-0002-2396-1205"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Defu Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Xiamen University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0002-2396-1205","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027286013","display_name":"Xiangxiang Zeng","orcid":"https://orcid.org/0000-0003-1081-7658"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangxiang Zeng","raw_affiliation_strings":["School of Information Science and Engineering, Xiamen University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0003-1081-7658","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I191208505"],"apc_list":null,"apc_paid":null,"fwci":16.7457,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.99452954,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"49","issue":"2","first_page":"517","last_page":"526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9984999895095825,"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":0.9787999987602234,"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/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.7085918188095093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6593072414398193},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6332379579544067},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6310224533081055},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6036660671234131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4723915755748749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46675753593444824},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4356016218662262},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.43085089325904846},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.41910549998283386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3414435386657715}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.7085918188095093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6593072414398193},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6332379579544067},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6310224533081055},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6036660671234131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4723915755748749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46675753593444824},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4356016218662262},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.43085089325904846},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.41910549998283386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3414435386657715},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2017.2779450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2779450","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:29990272","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29990272","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/G5048314219","display_name":null,"funder_award_id":"61202011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5842826728","display_name":null,"funder_award_id":"20720170054","funder_id":"https://openalex.org/F4320325434","funder_display_name":"Xiamen University"},{"id":"https://openalex.org/G7844887611","display_name":"\u7f51\u72b6\u7ed3\u6784\u819c\u8ba1\u7b97\u6a21\u578b\u7684\u8ba1\u7b97\u7406\u8bba\u53ca\u82e5\u5e72\u5e94\u7528\u7814\u7a76","funder_award_id":"61272152","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/F4320322835","display_name":"Ministry of Economic Affairs","ror":"https://ror.org/042ge0913"},{"id":"https://openalex.org/F4320325434","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W69831977","https://openalex.org/W1418108976","https://openalex.org/W1493761729","https://openalex.org/W1516147513","https://openalex.org/W1522538275","https://openalex.org/W1535772315","https://openalex.org/W1553373771","https://openalex.org/W1608317386","https://openalex.org/W1659842140","https://openalex.org/W1662894842","https://openalex.org/W1919667501","https://openalex.org/W1979596754","https://openalex.org/W1989268897","https://openalex.org/W1997600725","https://openalex.org/W2001640187","https://openalex.org/W2008615160","https://openalex.org/W2011048370","https://openalex.org/W2020320008","https://openalex.org/W2022485595","https://openalex.org/W2023658415","https://openalex.org/W2023685757","https://openalex.org/W2024008934","https://openalex.org/W2030940895","https://openalex.org/W2032101114","https://openalex.org/W2035266097","https://openalex.org/W2039100346","https://openalex.org/W2058142975","https://openalex.org/W2062061003","https://openalex.org/W2066859688","https://openalex.org/W2067544246","https://openalex.org/W2085507535","https://openalex.org/W2085830763","https://openalex.org/W2095987703","https://openalex.org/W2098116891","https://openalex.org/W2102365077","https://openalex.org/W2102625537","https://openalex.org/W2108968575","https://openalex.org/W2111203151","https://openalex.org/W2116661285","https://openalex.org/W2124180027","https://openalex.org/W2125899728","https://openalex.org/W2126105956","https://openalex.org/W2140886193","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2150046657","https://openalex.org/W2153654820","https://openalex.org/W2156194072","https://openalex.org/W2161392888","https://openalex.org/W2194983992","https://openalex.org/W2218919311","https://openalex.org/W2290153634","https://openalex.org/W2326149522","https://openalex.org/W2329749247","https://openalex.org/W2335878364","https://openalex.org/W2344916885","https://openalex.org/W2415757063","https://openalex.org/W2510493362","https://openalex.org/W2512033555","https://openalex.org/W2583230990","https://openalex.org/W2583742395","https://openalex.org/W2586373850","https://openalex.org/W2588272390","https://openalex.org/W2593665141","https://openalex.org/W2606241853","https://openalex.org/W2609579687","https://openalex.org/W2735649024","https://openalex.org/W2764251381","https://openalex.org/W2994964425","https://openalex.org/W3008615321","https://openalex.org/W3145464643","https://openalex.org/W4285719527","https://openalex.org/W6631460888","https://openalex.org/W6733374324","https://openalex.org/W6774552830","https://openalex.org/W6901710132","https://openalex.org/W6920459993"],"related_works":["https://openalex.org/W1963790170","https://openalex.org/W2073298047","https://openalex.org/W2033790662","https://openalex.org/W2090178682","https://openalex.org/W2586328217","https://openalex.org/W2049264236","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2906115061","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Recently,":[0],"numerous":[1],"multiobjective":[2,12],"evolutionary":[3],"algorithms":[4],"(MOEAs)":[5],"have":[6],"been":[7],"proposed":[8,101],"to":[9,124,148],"solve":[10],"the":[11,18,78,114,125,130,149,158],"optimization":[13,38],"problems":[14],"(MOPs).":[15],"One":[16],"of":[17,36,43,117,141],"most":[19,53],"widely":[20,143],"studied":[21],"MOEAs":[22],"is":[23,76,100,133],"that":[24],"based":[25,95],"on":[26,52,60,96,156],"decomposition":[27,83,98],"(MOEA/D),":[28],"which":[29,67],"decomposes":[30],"an":[31],"MOP":[32],"into":[33,110],"a":[34,41,92],"series":[35],"scalar":[37],"subproblems,":[39],"via":[40],"set":[42],"uniformly":[44],"distributed":[45],"weight":[46,79],"vectors.":[47],"MOEA/D":[48],"shows":[49,153],"excellent":[50],"performance":[51,145,155],"mild":[54],"MOPs,":[55,62],"but":[56],"may":[57],"face":[58],"difficulties":[59],"ill":[61],"with":[63,135],"complex":[64],"Pareto":[65],"fronts,":[66],"are":[68,84,108,120],"pointed,":[69],"long":[70],"tailed,":[71],"disconnected,":[72],"or":[73],"degenerate.":[74],"That":[75],"because":[77],"vectors":[80],"used":[81,144],"in":[82,102,139],"all":[85,157],"preset":[86],"and":[87,113],"invariant.":[88],"To":[89],"overcome":[90],"it,":[91],"new":[93],"MOEA":[94],"hierarchical":[97],"(MOEA/HD)":[99],"this":[103],"paper.":[104],"In":[105,129],"MOEA/HD,":[106],"subproblems":[107,119],"layered":[109],"different":[111],"hierarchies,":[112],"search":[115,127],"directions":[116],"lower-hierarchy":[118],"adaptively":[121],"adjusted,":[122],"according":[123],"higher-hierarchy":[126],"results.":[128],"experiments,":[131],"MOEA/HD":[132,152],"compared":[134],"four":[136],"state-of-the-art":[137],"MOEAs,":[138],"terms":[140],"two":[142],"metrics.":[146],"According":[147],"empirical":[150],"results,":[151],"promising":[154],"test":[159],"problems.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":45},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":4}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2018-01-05T00:00:00"}
