{"id":"https://openalex.org/W2907282032","doi":"https://doi.org/10.1109/ssci.2018.8628834","title":"A Performance Indicator for Reference-Point-Based Multiobjective Evolutionary Optimization","display_name":"A Performance Indicator for Reference-Point-Based Multiobjective Evolutionary Optimization","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2907282032","doi":"https://doi.org/10.1109/ssci.2018.8628834","mag":"2907282032"},"language":"en","primary_location":{"id":"doi:10.1109/ssci.2018.8628834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssci.2018.8628834","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Symposium Series on Computational Intelligence (SSCI)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dora.dmu.ac.uk/bitstreams/0f5df5f9-ed70-49fb-94aa-f4f93a02b273/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052179588","display_name":"Zhanglu Hou","orcid":"https://orcid.org/0000-0003-4269-8833"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhanglu Hou","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040583251","display_name":"Shengxiang Yang","orcid":"https://orcid.org/0000-0001-7222-4917"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shengxiang Yang","raw_affiliation_strings":["School of Computer Science and Informatics De Montfort University, Leicester, U.K"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Informatics De Montfort University, Leicester, U.K","institution_ids":["https://openalex.org/I66943878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000736157","display_name":"Juan Zou","orcid":"https://orcid.org/0000-0001-5115-4040"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juan Zou","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102005399","display_name":"Jinhua Zheng","orcid":"https://orcid.org/0000-0003-1989-5150"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jinhua Zheng","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053841201","display_name":"Guo Yu","orcid":"https://orcid.org/0000-0003-2427-8202"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Guo Yu","raw_affiliation_strings":["Department of Computer Science, University of Surrey, Guildford, Surrey, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Surrey, Guildford, Surrey, UK","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088703951","display_name":"Gan Ruan","orcid":"https://orcid.org/0000-0002-9939-354X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gan Ruan","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing (Ministry of Education), Xiangtan, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5052179588"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0687,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.80681861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1571","last_page":"1578"},"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":0.9987000226974487,"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":0.9908000230789185,"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/benchmark","display_name":"Benchmark (surveying)","score":0.7663761377334595},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6847072839736938},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6037881374359131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5973762273788452},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5942941904067993},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5874665975570679},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5635595321655273},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5424824357032776},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5238116979598999},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.48097243905067444},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4535546898841858},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4270499348640442},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.42145276069641113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.367112934589386},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2526448965072632},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11980241537094116}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7663761377334595},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6847072839736938},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6037881374359131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5973762273788452},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5942941904067993},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5874665975570679},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5635595321655273},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5424824357032776},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5238116979598999},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.48097243905067444},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4535546898841858},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4270499348640442},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.42145276069641113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.367112934589386},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2526448965072632},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11980241537094116},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ssci.2018.8628834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssci.2018.8628834","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Symposium Series on Computational Intelligence (SSCI)","raw_type":"proceedings-article"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/17296","is_oa":true,"landing_page_url":"http://hdl.handle.net/2086/17296","pdf_url":"https://dora.dmu.ac.uk/bitstreams/0f5df5f9-ed70-49fb-94aa-f4f93a02b273/download","source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference"}],"best_oa_location":{"id":"pmh:oai:dora.dmu.ac.uk:2086/17296","is_oa":true,"landing_page_url":"http://hdl.handle.net/2086/17296","pdf_url":"https://dora.dmu.ac.uk/bitstreams/0f5df5f9-ed70-49fb-94aa-f4f93a02b273/download","source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2864400929","display_name":null,"funder_award_id":"61403326","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2898701291","display_name":null,"funder_award_id":"6137906","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3178059172","display_name":null,"funder_award_id":"2016TP1020","funder_id":"https://openalex.org/F4320330206","funder_display_name":"Science and Technology Program of Hunan Province"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G402973329","display_name":null,"funder_award_id":"61379062","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5466298806","display_name":null,"funder_award_id":"61502408","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7042882887","display_name":null,"funder_award_id":"61673331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8842848566","display_name":null,"funder_award_id":"6167333","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8849890159","display_name":null,"funder_award_id":"201503","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8955107213","display_name":null,"funder_award_id":"Major","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/F4320330206","display_name":"Science and Technology Program of Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2907282032.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W763499377","https://openalex.org/W1489264121","https://openalex.org/W1535242099","https://openalex.org/W1543809355","https://openalex.org/W1662894842","https://openalex.org/W2011048370","https://openalex.org/W2098907614","https://openalex.org/W2102365077","https://openalex.org/W2126603971","https://openalex.org/W2143381319","https://openalex.org/W2147926599","https://openalex.org/W2152551290","https://openalex.org/W2161819088","https://openalex.org/W2295707143","https://openalex.org/W2343601797","https://openalex.org/W2531576583","https://openalex.org/W2588272390","https://openalex.org/W2612032753","https://openalex.org/W2760253492","https://openalex.org/W2774301659","https://openalex.org/W6746774475"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2384474142","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Aiming":[0],"at":[1],"the":[2,23,34,37,42,46,52,55,65,77,80,89,95,120,128],"difficulty":[3],"in":[4,94],"evaluating":[5],"preference-based":[6,131],"evolutionary":[7,133],"multiobjective":[8,132],"optimization,":[9],"this":[10],"paper":[11],"proposes":[12],"a":[13,27,108],"new":[14],"performance":[15,129],"indicator.":[16],"The":[17,71,83,99,116],"main":[18],"idea":[19],"is":[20,31,73,85,101,123],"to":[21,33,41,51,64,75,87,103,125],"project":[22],"preferred":[24,49,92],"solutions":[25,50,93],"onto":[26],"constructed":[28],"hyperplane":[29],"which":[30],"perpendicular":[32],"vector":[35],"from":[36,48,60],"reference":[38],"(aspiration)":[39],"point":[40,63,67],"origin.":[43],"And":[44],"then":[45],"distance":[47,59],"origin":[53],"and":[54],"standard":[56],"deviation":[57],"of":[58,79,91,97,110,130],"each":[61],"mapping":[62],"nearest":[66],"will":[68],"be":[69],"calculated.":[70],"former":[72],"used":[74],"measure":[76],"convergence":[78],"obtained":[81],"solutions.":[82],"latter":[84],"utilized":[86],"assess":[88,104],"diversity":[90],"region":[96],"interest.":[98],"indicator":[100,122],"conducted":[102],"different":[105],"algorithms":[106],"on":[107],"series":[109],"benchmark":[111],"problems":[112],"with":[113],"various":[114],"features.":[115],"results":[117],"show":[118],"that":[119],"proposed":[121],"able":[124],"properly":[126],"evaluate":[127],"algorithms.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}