{"id":"https://openalex.org/W1499764069","doi":"https://doi.org/10.1109/cec.2015.7257244","title":"Comparing solution sets of different size in evolutionary many-objective optimization","display_name":"Comparing solution sets of different size in evolutionary many-objective optimization","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1499764069","doi":"https://doi.org/10.1109/cec.2015.7257244","mag":"1499764069"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2015.7257244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2015.7257244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-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/A5035595838","display_name":"Hisao Ishibuchi","orcid":"https://orcid.org/0000-0001-9186-6472"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hisao Ishibuchi","raw_affiliation_strings":["Osaka Furitsu Daigaku, Sakai, Osaka, JP","Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka Furitsu Daigaku, Sakai, Osaka, JP","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020487162","display_name":"Hiroyuki Masuda","orcid":"https://orcid.org/0000-0003-3288-0236"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyuki Masuda","raw_affiliation_strings":["Osaka Furitsu Daigaku, Sakai, Osaka, JP","Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka Furitsu Daigaku, Sakai, Osaka, JP","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004957967","display_name":"Yusuke Nojima","orcid":"https://orcid.org/0000-0003-4853-1305"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yusuke Nojima","raw_affiliation_strings":["Osaka Furitsu Daigaku, Sakai, Osaka, JP","Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka Furitsu Daigaku, Sakai, Osaka, JP","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Graduate School of Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035595838"],"corresponding_institution_ids":["https://openalex.org/I15807432"],"apc_list":null,"apc_paid":null,"fwci":2.1031,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86951364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2859","last_page":"2866"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9908000230789185,"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"}},{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9855999946594238,"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/population-size","display_name":"Population size","score":0.6907832026481628},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6634647846221924},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6502187252044678},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6445489525794983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6126322150230408},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4791092872619629},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.47117501497268677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4687153398990631},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4675658345222473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2768480181694031},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16539093852043152}],"concepts":[{"id":"https://openalex.org/C169733012","wikidata":"https://www.wikidata.org/wiki/Q1613416","display_name":"Population size","level":3,"score":0.6907832026481628},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6634647846221924},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6502187252044678},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6445489525794983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6126322150230408},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4791092872619629},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.47117501497268677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4687153398990631},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4675658345222473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2768480181694031},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16539093852043152},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":1,"locations":[{"id":"doi:10.1109/cec.2015.7257244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2015.7257244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W175800518","https://openalex.org/W263147689","https://openalex.org/W1480517346","https://openalex.org/W1585939719","https://openalex.org/W1607221389","https://openalex.org/W1846834309","https://openalex.org/W1965780386","https://openalex.org/W1968219458","https://openalex.org/W1976159118","https://openalex.org/W1977398789","https://openalex.org/W1980591224","https://openalex.org/W1985197628","https://openalex.org/W1985904652","https://openalex.org/W2011099439","https://openalex.org/W2022485595","https://openalex.org/W2025525377","https://openalex.org/W2071694551","https://openalex.org/W2085507535","https://openalex.org/W2106334424","https://openalex.org/W2108968575","https://openalex.org/W2120091775","https://openalex.org/W2126105956","https://openalex.org/W2127459836","https://openalex.org/W2128357515","https://openalex.org/W2135722125","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2155345556","https://openalex.org/W2162974421","https://openalex.org/W2275394662","https://openalex.org/W6635097213","https://openalex.org/W6678967863"],"related_works":["https://openalex.org/W4205762803","https://openalex.org/W2137728213","https://openalex.org/W2158299108","https://openalex.org/W3092868143","https://openalex.org/W4391308320","https://openalex.org/W1492481092","https://openalex.org/W2391383439","https://openalex.org/W2894424381","https://openalex.org/W2219224819","https://openalex.org/W1499764069"],"abstract_inverted_index":{"When":[0],"the":[1,12,35,66,85,92,143,154,157,173,176,188,191,200,206,209,224,231,242],"performance":[2,183,260],"of":[3,34,91,116,135,153,175,178,195,214,233,245,251],"different":[4,40,78,89,117,136,165,252],"evolutionary":[5],"multiobjective":[6],"optimization":[7],"(EMO)":[8],"algorithms":[9,22,72,148,162],"is":[10,16,28,98,119,222],"compared,":[11],"same":[13,36,67,158,243],"population":[14,68,93,108,155,201],"size":[15,37,69,118,213],"usually":[17],"used":[18,258],"for":[19,54,70,73,87,160,167,259],"all":[20,71,161],"EMO":[21,147],"in":[23,43,145,190,208],"computer":[24],"simulations.":[25],"This":[26],"setting":[27,97],"to":[29,63,99,103,128,240],"obtain":[30],"a":[31,39,88,113,164,215,237],"solution":[32,114,133,216,234,249],"set":[33,115,217,250],"from":[38,121,247],"algorithm.":[41,123,169],"However,":[42],"general,":[44],"each":[45,55,101,122,168,196,220,248],"algorithm":[46,79,102,197,221],"may":[47,60,80,125],"have":[48],"its":[49,105],"own":[50,106],"best":[51,86,107],"parameter":[52],"specifications":[53],"test":[56],"problem.":[57],"Thus,":[58],"it":[59],"be":[61,81,126],"difficult":[62,127],"appropriately":[64],"specify":[65],"their":[74],"fair":[75,130],"comparison.":[76,261],"A":[77],"evaluated":[82],"as":[83,236],"being":[84],"specification":[90,159,166],"size.":[94,109,137,202,253],"An":[95],"alternative":[96],"allow":[100],"use":[104,232],"In":[110,138,226],"this":[111,139,227],"setting,":[112,228],"obtained":[120,218],"It":[124],"perform":[129],"comparison":[131],"using":[132],"sets":[134],"paper,":[140],"we":[141,171,186,204,229],"discuss":[142,172,205],"difficulty":[144,189,207],"comparing":[146],"under":[149],"these":[150],"two":[151],"settings":[152],"size:":[156],"and":[163],"First,":[170],"effect":[174],"number":[177,244],"non-dominated":[179],"solutions":[180,246,256],"on":[181,199],"some":[182],"indicators.":[184],"Next":[185],"show":[187],"first":[192],"setting:":[193,211],"Performance":[194],"depends":[198],"Then":[203],"second":[210],"The":[212,254],"by":[219],"not":[223],"same.":[225],"examine":[230],"selection":[235],"post-processing":[238],"procedure":[239],"choose":[241],"selected":[255],"are":[257]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
