{"id":"https://openalex.org/W3213608629","doi":"https://doi.org/10.1155/2021/8870356","title":"An Adaptive Reference Vector Adjustment Strategy and Improved Angle\u2010Penalized Value Method for RVEA","display_name":"An Adaptive Reference Vector Adjustment Strategy and Improved Angle\u2010Penalized Value Method for RVEA","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3213608629","doi":"https://doi.org/10.1155/2021/8870356","mag":"3213608629"},"language":"en","primary_location":{"id":"doi:10.1155/2021/8870356","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/8870356","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/8870356.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/2021/8870356.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017495742","display_name":"Wenbo Qiu","orcid":"https://orcid.org/0000-0002-3748-3099"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbo Qiu","raw_affiliation_strings":["College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044687108","display_name":"Jianghan Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianghan Zhu","raw_affiliation_strings":["College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040151785","display_name":"Huangchao Yu","orcid":"https://orcid.org/0000-0003-4715-6267"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huangchao Yu","raw_affiliation_strings":["Institute of Unmanned System, National University of Defense Technology, Changsha 410073, Hunan, China"],"raw_orcid":"https://orcid.org/0000-0003-4715-6267","affiliations":[{"raw_affiliation_string":"Institute of Unmanned System, National University of Defense Technology, Changsha 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047617538","display_name":"Mingfeng Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingfeng Fan","raw_affiliation_strings":["School of Traffic and Transportation Engineering, Central South University, Changsha 410073, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Traffic and Transportation Engineering, Central South University, Changsha 410073, Hunan, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057399575","display_name":"Lisu Huo","orcid":"https://orcid.org/0000-0002-8717-2301"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lisu Huo","raw_affiliation_strings":["College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Systems Engineering, National University of Defense Technology, Changsha 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040151785"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.5402,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.64843245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9977999925613403,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/value","display_name":"Value (mathematics)","score":0.5952959060668945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46572086215019226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44596824049949646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4024726152420044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3747040033340454},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.365317165851593},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29188835620880127}],"concepts":[{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5952959060668945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46572086215019226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44596824049949646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4024726152420044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3747040033340454},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.365317165851593},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29188835620880127}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/8870356","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/8870356","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/8870356.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:8870356","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/8870356.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:703999e7051944b0964f69800388dc27","is_oa":true,"landing_page_url":"https://doaj.org/article/703999e7051944b0964f69800388dc27","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/8870356","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/8870356","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/8870356.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":[{"display_name":"No poverty","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3213608629.pdf","grobid_xml":"https://content.openalex.org/works/W3213608629.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1550055091","https://openalex.org/W2016014758","https://openalex.org/W2017299308","https://openalex.org/W2018344446","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2058142975","https://openalex.org/W2085507535","https://openalex.org/W2106334424","https://openalex.org/W2108968575","https://openalex.org/W2111203151","https://openalex.org/W2112912151","https://openalex.org/W2126105956","https://openalex.org/W2131476630","https://openalex.org/W2143381319","https://openalex.org/W2343601797","https://openalex.org/W2344916885","https://openalex.org/W2402084509","https://openalex.org/W2599937626","https://openalex.org/W2746947413","https://openalex.org/W2747918924","https://openalex.org/W2747987652","https://openalex.org/W2751605210","https://openalex.org/W2764251381","https://openalex.org/W2882392939","https://openalex.org/W2884749649","https://openalex.org/W2900754213","https://openalex.org/W2912280788","https://openalex.org/W2920983566","https://openalex.org/W2956065540","https://openalex.org/W2963115819","https://openalex.org/W2967453405","https://openalex.org/W2968013531","https://openalex.org/W2970718521","https://openalex.org/W3036001205","https://openalex.org/W3047314119","https://openalex.org/W3088222700","https://openalex.org/W3089913216","https://openalex.org/W3109800244","https://openalex.org/W3132186272","https://openalex.org/W4235965783","https://openalex.org/W4255176593","https://openalex.org/W6656340886"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298"],"abstract_inverted_index":{"Decomposition\u2010based":[0],"evolutionary":[1,74],"multiobjective":[2,7],"algorithms":[3,207],"(MOEAs)":[4],"divide":[5],"a":[6,14,158],"problem":[8],"into":[9],"several":[10],"subproblems":[11],"by":[12,77,136,167],"using":[13],"set":[15],"of":[16,100,143,157,163,192],"predefined":[17,90],"uniformly":[18],"distributed":[19],"reference":[20,48,72,81,91],"vectors":[21,49,92,146],"and":[22,107,147,212],"can":[23],"achieve":[24],"good":[25,104],"overall":[26,105,225],"performance":[27,106,134,156,184,191],"especially":[28],"in":[29,38,110,152,185],"maintaining":[30],"population":[31],"diversity.":[32],"However,":[33],"they":[34],"encounter":[35],"huge":[36],"difficulties":[37],"addressing":[39],"problems":[40],"with":[41,59,103,130,160,181,203],"irregular":[42],"Pareto":[43],"fronts":[44],"(PFs)":[45],"since":[46],"many":[47],"do":[50],"not":[51],"work":[52],"during":[53],"the":[54,87,89,98,108,112,123,127,141,148,154,161,190,193,219,223],"searching":[55,124],"process.":[56,125],"To":[57,188],"cope":[58],"this":[60,62],"problem,":[61],"paper":[63],"aims":[64],"to":[65,97,119,122,132,177,200],"improve":[66],"an":[67,79,169],"existing":[68],"decomposition\u2010based":[69,206],"algorithm":[70,75,221],"called":[71],"vector\u2010guided":[73],"(RVEA)":[76],"designing":[78],"adaptive":[80],"vector":[82],"adjustment":[83],"strategy.":[84],"By":[85],"adding":[86],"strategy,":[88],"will":[93],"be":[94,116],"adjusted":[95],"according":[96],"distribution":[99],"promising":[101],"solutions":[102,180],"subspaces":[109],"which":[111],"PF":[113],"lies":[114],"may":[115],"further":[117],"divided":[118],"contribute":[120],"more":[121],"Besides,":[126],"selection":[128],"pressure":[129],"respect":[131],"convergence":[133,155,183],"posed":[135],"RVEA":[137],"is":[138,150,175],"mainly":[139],"from":[140],"length":[142],"normalized":[144],"objective":[145,164],"metric":[149],"poor":[151],"evaluating":[153],"solution":[159],"increase":[162],"size.":[165],"Motivated":[166],"that,":[168],"improved":[170],"angle\u2010penalized":[171],"distance":[172],"(APD)":[173],"method":[174],"developed":[176],"better":[178],"distinguish":[179],"sound":[182],"each":[186],"subspace.":[187],"investigate":[189],"proposed":[194,220],"algorithm,":[195],"extensive":[196],"experiments":[197],"are":[198],"conducted":[199],"compare":[201],"it":[202],"5":[204],"state\u2010of\u2010the\u2010art":[205],"on":[208],"3\u2010,":[209],"5\u2010,":[210],"8\u2010,":[211],"10\u2010objective":[213],"MaF1\u2013MaF9.":[214],"The":[215],"results":[216],"demonstrate":[217],"that":[218],"obtains":[222],"best":[224],"performance.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
