{"id":"https://openalex.org/W2319383972","doi":"https://doi.org/10.1109/tsmc.2016.2523938","title":"A Geometric Structure-Based Particle Swarm Optimization Algorithm for Multiobjective Problems","display_name":"A Geometric Structure-Based Particle Swarm Optimization Algorithm for Multiobjective Problems","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2319383972","doi":"https://doi.org/10.1109/tsmc.2016.2523938","mag":"2319383972"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2016.2523938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2523938","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5087729635","display_name":"Wenqiang Yuan","orcid":"https://orcid.org/0000-0002-3252-8593"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqiang Yuan","raw_affiliation_strings":["College of Computer Science and Technology, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100671443","display_name":"Yusheng Liu","orcid":"https://orcid.org/0000-0002-4286-4670"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yusheng Liu","raw_affiliation_strings":["College of Computer Science and Technology, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103002801","display_name":"Hongwei Wang","orcid":"https://orcid.org/0000-0003-3297-1293"},"institutions":[{"id":"https://openalex.org/I63072094","display_name":"University of Portsmouth","ror":"https://ror.org/03ykbk197","country_code":"GB","type":"education","lineage":["https://openalex.org/I63072094"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hongwei Wang","raw_affiliation_strings":["School of Engineering, University of Portsmouth, Portsmouth, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, University of Portsmouth, Portsmouth, U.K","institution_ids":["https://openalex.org/I63072094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113744226","display_name":"Yanlong Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanlong Cao","raw_affiliation_strings":["College of Mechanical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1277,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.96422487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"22"},"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":0.9994000196456909,"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":0.9929999709129333,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6729316711425781},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6688128709793091},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6318740844726562},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5676167011260986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5185506939888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49360620975494385},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.46175575256347656},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4534280002117157},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42754048109054565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42735493183135986},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4181492328643799}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6729316711425781},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6688128709793091},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6318740844726562},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5676167011260986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5185506939888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49360620975494385},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.46175575256347656},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4534280002117157},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42754048109054565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42735493183135986},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4181492328643799},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmc.2016.2523938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2523938","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:researchportal.port.ac.uk:publications/0b59be2e-b6b3-48d7-b4b1-2b768dd7ba34","is_oa":false,"landing_page_url":"https://researchportal.port.ac.uk/portal/en/publications/a-geometric-structure-based-particle-swarm-optimization-algorithm-for-multiobjective-problems(0b59be2e-b6b3-48d7-b4b1-2b768dd7ba34).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401774","display_name":"Portsmouth Research Portal (University of Portsmouth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63072094","host_organization_name":"University of Portsmouth","host_organization_lineage":["https://openalex.org/I63072094"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G675340264","display_name":"\u57fa\u4e8eSysML\u7684\u591a\u57df\u590d\u6742\u4ea7\u54c1\u529f\u80fd\u5f62\u5f0f\u5316\u8868\u5f81\u4e0e\u81ea\u52a8\u5206\u89e3\u7814\u7a76","funder_award_id":"61572427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8847018527","display_name":"\u57fa\u4e8eSysML\u7684\u590d\u6742\u4ea7\u54c1\u7cfb\u7edf\u5c42\u591a\u57df\u8026\u5408\u81ea\u52a8\u8bc6\u522b\u4e0e\u5efa\u6a21\u7814\u7a76","funder_award_id":"61173126","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W106569135","https://openalex.org/W107299040","https://openalex.org/W131206777","https://openalex.org/W1552505253","https://openalex.org/W1587294773","https://openalex.org/W1621614599","https://openalex.org/W1742512077","https://openalex.org/W1907706552","https://openalex.org/W1957430778","https://openalex.org/W1989033306","https://openalex.org/W2001141328","https://openalex.org/W2023652198","https://openalex.org/W2027353299","https://openalex.org/W2033007297","https://openalex.org/W2047155108","https://openalex.org/W2053186076","https://openalex.org/W2064670552","https://openalex.org/W2075745702","https://openalex.org/W2096166399","https://openalex.org/W2102365077","https://openalex.org/W2121859020","https://openalex.org/W2123421115","https://openalex.org/W2126105956","https://openalex.org/W2130368085","https://openalex.org/W2140882991","https://openalex.org/W2149616971","https://openalex.org/W2152195021","https://openalex.org/W2152899497","https://openalex.org/W2155912662","https://openalex.org/W2165551553","https://openalex.org/W2171012004","https://openalex.org/W2432516117","https://openalex.org/W2941281702","https://openalex.org/W3023175681","https://openalex.org/W3029591682","https://openalex.org/W3147303532","https://openalex.org/W6675537533","https://openalex.org/W6678628999","https://openalex.org/W6684206769","https://openalex.org/W6717764351","https://openalex.org/W6761597005"],"related_works":["https://openalex.org/W2006324351","https://openalex.org/W2965421953","https://openalex.org/W2349895019","https://openalex.org/W2116074880","https://openalex.org/W2950423922","https://openalex.org/W2070977815","https://openalex.org/W2121780490","https://openalex.org/W2137136732","https://openalex.org/W2972744589","https://openalex.org/W2132113279"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,12,31,37,48,54,92,116,125],"novel":[4],"evolutionary":[5],"strategy":[6,120],"for":[7,134],"multiobjective":[8,160],"optimization":[9,94,137],"in":[10,75,164,173],"which":[11,43],"population's":[13],"evolution":[14],"is":[15,34,45,121],"guided":[16],"by":[17,90],"exploiting":[18],"the":[19,27,61,71,81,85,97,112,136,154,165,167,176],"geometric":[20,49,55,117],"structure":[21],"of":[22,30,39,64,99,114,146,175,182],"its":[23],"Pareto":[24,28],"front.":[25],"Specifically,":[26],"front":[29],"particle":[32],"population":[33],"regarded":[35],"as":[36,80],"set":[38],"scattered":[40],"points":[41],"on":[42,131],"interpolation":[44],"performed":[46],"using":[47,91],"curve/surface":[50],"model":[51],"to":[52,123,152,156],"construct":[53],"parameter":[56],"space.":[57],"On":[58],"this":[59,65,76],"basis,":[60],"normal":[62],"direction":[63,77],"space":[66],"can":[67,105],"be":[68],"obtained":[69],"and":[70,127,180],"solutions":[72,87,110,177],"located":[73],"exactly":[74],"are":[78,88],"chosen":[79],"guiding":[82,101],"points.":[83,102],"Then,":[84],"dominated":[86],"processed":[89],"local":[93],"technique":[95],"with":[96,111,139],"help":[98],"these":[100],"Particle":[103],"populations":[104],"thus":[106],"evolve":[107],"toward":[108],"optimal":[109],"guidance":[113],"such":[115],"structure.":[118],"The":[119],"employed":[122],"develop":[124],"fast":[126],"robust":[128],"algorithm":[129,155,169],"based":[130],"correlation":[132],"analysis":[133],"solving":[135],"problems":[138],"more":[140],"than":[141],"three":[142,158],"objectives.":[143],"A":[144],"number":[145],"computational":[147],"experiments":[148],"have":[149],"been":[150],"conducted":[151],"compare":[153],"another":[157],"popular":[159],"algorithms.":[161],"As":[162],"demonstrated":[163],"experiments,":[166],"proposed":[168],"achieves":[170],"remarkable":[171],"performance":[172],"terms":[174],"obtained,":[178],"robustness,":[179],"speed":[181],"convergence.":[183]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}