{"id":"https://openalex.org/W2949866299","doi":"https://doi.org/10.1142/s0218001420590089","title":"A Multi-Objective Particle Swarm Optimization Based on Grid Distance","display_name":"A Multi-Objective Particle Swarm Optimization Based on Grid Distance","publication_year":2019,"publication_date":"2019-06-18","ids":{"openalex":"https://openalex.org/W2949866299","doi":"https://doi.org/10.1142/s0218001420590089","mag":"2949866299"},"language":"en","primary_location":{"id":"doi:10.1142/s0218001420590089","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001420590089","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","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/A5049902681","display_name":"Rui Leng","orcid":null},"institutions":[{"id":"https://openalex.org/I98834328","display_name":"Wuyi University","ror":"https://ror.org/059djzq42","country_code":"CN","type":"education","lineage":["https://openalex.org/I98834328"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Leng","raw_affiliation_strings":["School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, P.\u00a0R.\u00a0China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I98834328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103260563","display_name":"Aijia Ouyang","orcid":"https://orcid.org/0000-0003-3441-7034"},"institutions":[{"id":"https://openalex.org/I4210091787","display_name":"Zunyi Normal College","ror":"https://ror.org/00g2pnp92","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210091787"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aijia Ouyang","raw_affiliation_strings":["Department of Computer and Information Science, Zunyi Normal University, Zunyi 563002, P.\u00a0R.\u00a0China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Zunyi Normal University, Zunyi 563002, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I4210091787"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101979609","display_name":"Yanmin Liu","orcid":"https://orcid.org/0000-0001-9854-5997"},"institutions":[{"id":"https://openalex.org/I4210091787","display_name":"Zunyi Normal College","ror":"https://ror.org/00g2pnp92","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210091787"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanmin Liu","raw_affiliation_strings":["School of Mathematics, Zunyi Normal University, Zunyi 563002, P.\u00a0R.\u00a0China"],"raw_orcid":"https://orcid.org/0000-0001-9854-5997","affiliations":[{"raw_affiliation_string":"School of Mathematics, Zunyi Normal University, Zunyi 563002, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I4210091787"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100547783","display_name":"Yuan Lian","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095439","display_name":"Guizhou Minzu University","ror":"https://ror.org/00qm4t918","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210095439"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lian Yuan","raw_affiliation_strings":["School of Data Science and Information Engineering Guizhou Minzu University Guiyang 550025, P.\u00a0R.\u00a0China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Data Science and Information Engineering Guizhou Minzu University Guiyang 550025, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I4210095439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072889135","display_name":"Zongyue Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210151615","display_name":"Wuyi University","ror":"https://ror.org/0488wz367","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151615"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongyue Wu","raw_affiliation_strings":["School of Intelligent Manufacturing Wuyi University Jiangmen 529020, P.\u00a0R.\u00a0China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Intelligent Manufacturing Wuyi University Jiangmen 529020, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I4210151615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1569,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80489156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"03","first_page":"2059008","last_page":"2059008"},"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":0.9998000264167786,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9749000072479248,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6866509914398193},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.6734840869903564},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.62995445728302},{"id":"https://openalex.org/keywords/meta-optimization","display_name":"Meta-optimization","score":0.5535540580749512},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.544424831867218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5439730286598206},{"id":"https://openalex.org/keywords/imperialist-competitive-algorithm","display_name":"Imperialist competitive algorithm","score":0.5272130966186523},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5043600797653198},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4999196529388428},{"id":"https://openalex.org/keywords/premature-convergence","display_name":"Premature convergence","score":0.46928083896636963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4633519947528839},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.4534201920032501},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4393082559108734},{"id":"https://openalex.org/keywords/derivative-free-optimization","display_name":"Derivative-free optimization","score":0.4133254587650299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27728182077407837}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6866509914398193},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.6734840869903564},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.62995445728302},{"id":"https://openalex.org/C4935549","wikidata":"https://www.wikidata.org/wiki/Q6822261","display_name":"Meta-optimization","level":3,"score":0.5535540580749512},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.544424831867218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5439730286598206},{"id":"https://openalex.org/C101219045","wikidata":"https://www.wikidata.org/wiki/Q10859646","display_name":"Imperialist competitive algorithm","level":4,"score":0.5272130966186523},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5043600797653198},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4999196529388428},{"id":"https://openalex.org/C58758708","wikidata":"https://www.wikidata.org/wiki/Q7240233","display_name":"Premature convergence","level":3,"score":0.46928083896636963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4633519947528839},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.4534201920032501},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4393082559108734},{"id":"https://openalex.org/C29282572","wikidata":"https://www.wikidata.org/wiki/Q16977029","display_name":"Derivative-free optimization","level":4,"score":0.4133254587650299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27728182077407837},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218001420590089","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001420590089","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G5832479786","display_name":"\u57fa\u4e8e\u5f02\u6784\u7cfb\u7edf\u7684\u6df7\u5408\u667a\u80fd\u53ef\u6269\u5c55\u5e76\u884c\u7b97\u6cd5\u7814\u7a76\u4e0e\u63a2\u7d22","funder_award_id":"61662090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5991261324","display_name":"\u52a8\u6001\u73af\u5883\u4e0b\u57fa\u4e8e\u8017\u6563\u7ed3\u6784\u7684\u65b0\u578b\u7c92\u5b50\u7fa4\u7b97\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"71461027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8432478648","display_name":"\u57fa\u4e8e\u751f\u7269\u7f51\u7edc\u7684\u9ad8\u7ef4\u591a\u76ee\u6807\u7b97\u6cd5\u53ca\u5176\u5728\u5206\u5e03\u5f0f\u8c03\u5ea6\u4e2d\u7684\u5e94\u7528","funder_award_id":"71471158","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":37,"referenced_works":["https://openalex.org/W890304461","https://openalex.org/W939691211","https://openalex.org/W1595159159","https://openalex.org/W1600188168","https://openalex.org/W1977019464","https://openalex.org/W1985434370","https://openalex.org/W2022317397","https://openalex.org/W2048765701","https://openalex.org/W2096347263","https://openalex.org/W2098907614","https://openalex.org/W2102365077","https://openalex.org/W2123808725","https://openalex.org/W2125899728","https://openalex.org/W2127147933","https://openalex.org/W2140882991","https://openalex.org/W2152195021","https://openalex.org/W2153441340","https://openalex.org/W2165171393","https://openalex.org/W2168804586","https://openalex.org/W2422218050","https://openalex.org/W2517908245","https://openalex.org/W2520973147","https://openalex.org/W2529161108","https://openalex.org/W2584320016","https://openalex.org/W2598286865","https://openalex.org/W2608190038","https://openalex.org/W2659806505","https://openalex.org/W2739702337","https://openalex.org/W2744634385","https://openalex.org/W2751383815","https://openalex.org/W2766177067","https://openalex.org/W2769375375","https://openalex.org/W2774828718","https://openalex.org/W2783772867","https://openalex.org/W2791110264","https://openalex.org/W2796420510","https://openalex.org/W2803500965"],"related_works":["https://openalex.org/W2378509784","https://openalex.org/W2385830250","https://openalex.org/W1993212790","https://openalex.org/W2735946150","https://openalex.org/W2134114282","https://openalex.org/W1997830976","https://openalex.org/W3102725223","https://openalex.org/W2084289551","https://openalex.org/W2359483975","https://openalex.org/W2012589229"],"abstract_inverted_index":{"In":[0,37],"modern":[1],"intelligent":[2],"algorithms":[3],"and":[4,49,78,100,104,122,145],"real-industrial":[5],"applications,":[6],"there":[7],"are":[8],"many":[9],"fields":[10],"involving":[11],"multi-objective":[12,57],"particle":[13,58],"swarm":[14,59],"optimization":[15,25,48,60],"algorithms,":[16],"but":[17],"the":[18,24,31,41,51,54,73,76,79,84,97,105],"conflict":[19],"between":[20],"each":[21],"objective":[22],"in":[23,140],"process":[26],"will":[27],"easily":[28],"lead":[29],"to":[30,39,71],"algorithm":[32,42,61,77,134],"falling":[33,45],"into":[34,46],"local":[35,47],"optimal.":[36],"order":[38],"prevent":[40],"from":[43],"quickly":[44],"improve":[50,72],"robustness":[52],"of":[53,75,118,128,142],"algorithm,":[55,86],"a":[56,87,116],"based":[62],"on":[63,83],"grid":[64,98],"distance":[65,144],"(GDMOPSO)":[66],"was":[67,93],"proposed,":[68],"which":[69],"has":[70],"diversity":[74],"search":[80],"ability.":[81],"Based":[82],"MOPSO":[85,154],"new":[88],"external":[89],"archive":[90],"control":[91],"strategy":[92],"established":[94],"by":[95],"using":[96],"technology":[99],"Pareto-dominant":[101],"ordering":[102],"principle,":[103],"learning":[106],"samples":[107],"were":[108],"improved.":[109],"The":[110,126],"proposed":[111,133],"GDMOPSO":[112],"is":[113],"compared":[114,149],"with":[115,150],"group":[117],"benchmark":[119],"function":[120],"tests":[121],"four":[123,152],"classical":[124,153],"algorithms.":[125,155],"results":[127],"experiment":[129],"show":[130],"that":[131],"our":[132],"can":[135],"effectively":[136],"avoid":[137],"premature":[138],"convergence":[139],"terms":[141],"generational":[143],"hyper-volume":[146],"(HV)":[147],"indicator":[148],"other":[151]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
