{"id":"https://openalex.org/W2008053938","doi":"https://doi.org/10.1109/cec.2010.5586278","title":"Progressively interactive evolutionary multi-objective optimization method using generalized polynomial value functions","display_name":"Progressively interactive evolutionary multi-objective optimization method using generalized polynomial value functions","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2008053938","doi":"https://doi.org/10.1109/cec.2010.5586278","mag":"2008053938"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2010.5586278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2010.5586278","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Congress on Evolutionary Computation","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/A5018720209","display_name":"Ankur Sinha","orcid":"https://orcid.org/0000-0002-0464-6736"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Ankur Sinha","raw_affiliation_strings":["Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088394271","display_name":"Kalyanmoy Deb","orcid":"https://orcid.org/0000-0001-7402-9939"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]},{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["FI","IN"],"is_corresponding":false,"raw_author_name":"Kalyanmoy Deb","raw_affiliation_strings":["Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland","Indian Institute of Technology, Kanpur, India"],"affiliations":[{"raw_affiliation_string":"Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Indian Institute of Technology, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061478881","display_name":"Pekka Korhonen","orcid":"https://orcid.org/0000-0002-8286-2477"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pekka Korhonen","raw_affiliation_strings":["Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043365409","display_name":"Jyrki Wallenius","orcid":"https://orcid.org/0000-0002-6851-2809"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jyrki Wallenius","raw_affiliation_strings":["Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Business Technology, School of Economics, Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018720209"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":4.16487722,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.93570207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":null,"first_page":"1","last_page":"8"},"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":0.9980000257492065,"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":0.9936000108718872,"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":0.7195144891738892},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5726310610771179},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5632517337799072},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.53943932056427},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5219889879226685},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5076917409896851},{"id":"https://openalex.org/keywords/test-functions-for-optimization","display_name":"Test functions for optimization","score":0.49716809391975403},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49309512972831726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4860022962093353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4773152768611908},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4465576410293579},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.43216800689697266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.321414053440094},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.29423972964286804},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.11364644765853882},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10902729630470276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0782943069934845}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7195144891738892},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5726310610771179},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5632517337799072},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.53943932056427},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5219889879226685},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5076917409896851},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.49716809391975403},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49309512972831726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4860022962093353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4773152768611908},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4465576410293579},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.43216800689697266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.321414053440094},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29423972964286804},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.11364644765853882},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10902729630470276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0782943069934845},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2010.5586278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2010.5586278","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W1514635186","https://openalex.org/W1601556876","https://openalex.org/W1607098015","https://openalex.org/W1760679481","https://openalex.org/W1799387289","https://openalex.org/W1975463725","https://openalex.org/W2010445927","https://openalex.org/W2015068870","https://openalex.org/W2084234895","https://openalex.org/W2102365077","https://openalex.org/W2126105956","https://openalex.org/W2162478582","https://openalex.org/W2171996959","https://openalex.org/W6608886761","https://openalex.org/W6630744885","https://openalex.org/W6671667227"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W1588199609","https://openalex.org/W2384474142","https://openalex.org/W1550055091","https://openalex.org/W2744462909","https://openalex.org/W3083133203","https://openalex.org/W1971520370"],"abstract_inverted_index":{"This":[0],"paper":[1,131],"advances":[2],"and":[3,30,65,142,195],"evaluates":[4,133,151],"a":[5,57,89],"recently":[6],"proposed":[7,64,110],"progressively":[8],"interactive":[9],"evolutionary":[10],"multi-objective":[11],"optimization":[12],"algorithm.":[13],"The":[14,40,82,109,130],"algorithm":[15,121,139],"uses":[16],"preference":[17,77],"information":[18,78],"from":[19,106],"the":[20,24,28,32,37,43,66,70,74,85,93,107,119,125,134,137,152,155,159,164,174,183,202],"decision":[21,50,75,94,126,165,175],"maker":[22,166,176],"during":[23],"intermediate":[25],"generations":[26],"of":[27,84,87,136,154,180],"EMO":[29],"produces":[31],"most":[33,160],"preferred":[34,161],"solution":[35,162],"on":[36,140],"Pareto-optimal":[38,44],"front.":[39],"progress":[41],"towards":[42],"front":[45],"is":[46,167],"made":[47],"by":[48,100],"approximating":[49],"maker's":[51,76,95,127],"value":[52,60,71,90,104,113,128],"function.":[53,129],"In":[54],"this":[55],"paper,":[56],"generalized":[58],"polynomial":[59,112],"function":[61,72,91,114],"has":[62,79,97,115],"been":[63,80,98,116,191],"procedure":[67,86,156],"to":[68,73,92,122,169,186],"fit":[69],"described.":[81],"generality":[83],"fitting":[88],"preferences":[96],"shown":[99],"using":[101,201],"other":[102],"existing":[103],"functions":[105],"literature.":[108],"generic":[111],"incorporated":[117],"in":[118,157,182],"PI-EMO-VF":[120,138],"efficiently":[123],"approximate":[124],"then":[132],"performance":[135],"three":[141,194],"five":[143,196],"objective":[144,184,197],"test":[145,199],"problems":[146,200],"with":[147],"constraints.":[148],"It":[149],"also":[150],"efficacy":[153],"producing":[158],"when":[163],"unable":[168],"provide":[170],"perfect":[171],"information,":[172],"i.e.,":[173],"finds":[177],"certain":[178],"pairs":[179],"solutions":[181],"space":[185],"be":[187],"incomparable.":[188],"Results":[189],"have":[190],"presented":[192],"for":[193],"constrained":[198],"procedure.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}