{"id":"https://openalex.org/W2171308233","doi":"https://doi.org/10.1109/tevc.2009.2036162","title":"Incorporating the Notion of Relative Importance of Objectives in Evolutionary Multiobjective Optimization","display_name":"Incorporating the Notion of Relative Importance of Objectives in Evolutionary Multiobjective Optimization","publication_year":2010,"publication_date":"2010-04-20","ids":{"openalex":"https://openalex.org/W2171308233","doi":"https://doi.org/10.1109/tevc.2009.2036162","mag":"2171308233"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2009.2036162","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2009.2036162","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","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/A5109588787","display_name":"Lily Rachmawati","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"L Rachmawati","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016960268","display_name":"Dipti Srinivasan","orcid":"https://orcid.org/0000-0003-4877-3478"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"D Srinivasan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":2.7507,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.9064602,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"530","last_page":"546"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9937999844551086,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9861999750137329,"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/preference-elicitation","display_name":"Preference elicitation","score":0.6830465197563171},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6162249445915222},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5745365023612976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5716648101806641},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.571648895740509},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5071368217468262},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4950386583805084},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.4813552498817444},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.42547374963760376},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4169774651527405},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41469836235046387},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4142581820487976},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.40445345640182495},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3751896619796753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36372482776641846},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.24589475989341736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1958518624305725},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11347287893295288}],"concepts":[{"id":"https://openalex.org/C2777868144","wikidata":"https://www.wikidata.org/wiki/Q7239817","display_name":"Preference elicitation","level":3,"score":0.6830465197563171},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6162249445915222},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5745365023612976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5716648101806641},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.571648895740509},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5071368217468262},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4950386583805084},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.4813552498817444},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.42547374963760376},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4169774651527405},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41469836235046387},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4142581820487976},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.40445345640182495},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3751896619796753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36372482776641846},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.24589475989341736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1958518624305725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11347287893295288},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tevc.2009.2036162","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2009.2036162","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/56305","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/56305","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W41843646","https://openalex.org/W93031587","https://openalex.org/W173895910","https://openalex.org/W225560312","https://openalex.org/W297774234","https://openalex.org/W319374292","https://openalex.org/W584125963","https://openalex.org/W808192553","https://openalex.org/W1480428252","https://openalex.org/W1496489000","https://openalex.org/W1504943474","https://openalex.org/W1506010655","https://openalex.org/W1510078255","https://openalex.org/W1532399581","https://openalex.org/W1539055257","https://openalex.org/W1553373771","https://openalex.org/W1567695875","https://openalex.org/W1588375755","https://openalex.org/W1595498733","https://openalex.org/W1607104331","https://openalex.org/W1799158580","https://openalex.org/W1805329544","https://openalex.org/W1822004825","https://openalex.org/W1957430778","https://openalex.org/W1982590973","https://openalex.org/W1986808060","https://openalex.org/W1992498200","https://openalex.org/W2008499862","https://openalex.org/W2047156683","https://openalex.org/W2060279582","https://openalex.org/W2074921660","https://openalex.org/W2083624225","https://openalex.org/W2090728190","https://openalex.org/W2100489524","https://openalex.org/W2102365077","https://openalex.org/W2105511939","https://openalex.org/W2106334424","https://openalex.org/W2107047429","https://openalex.org/W2110828487","https://openalex.org/W2115428122","https://openalex.org/W2118251790","https://openalex.org/W2121365620","https://openalex.org/W2125899728","https://openalex.org/W2126105956","https://openalex.org/W2126998707","https://openalex.org/W2128107191","https://openalex.org/W2146134063","https://openalex.org/W2147573707","https://openalex.org/W2150881546","https://openalex.org/W2152150600","https://openalex.org/W2155019998","https://openalex.org/W2159329525","https://openalex.org/W2167769453","https://openalex.org/W2167963169","https://openalex.org/W2170176908","https://openalex.org/W2170589503","https://openalex.org/W2994964425","https://openalex.org/W3023540311","https://openalex.org/W4285719527","https://openalex.org/W4292408320","https://openalex.org/W4292864963","https://openalex.org/W4299937944","https://openalex.org/W6603781979","https://openalex.org/W6608886761","https://openalex.org/W6628770400","https://openalex.org/W6630399524","https://openalex.org/W6631616558","https://openalex.org/W6635433731","https://openalex.org/W6638103780","https://openalex.org/W6679003103","https://openalex.org/W6681791072","https://openalex.org/W6682295764","https://openalex.org/W6771627385"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2001591765","https://openalex.org/W4241467429","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],"describes":[2],"the":[3,12,25,62,88,103,118,160,171,198,206,213,216],"use":[4],"of":[5,11,15,24,28,39,64,67,78,99,117,141,156,165,186,197,215],"decision":[6,131],"maker":[7,132],"preferences":[8],"in":[9,17,52,133,183],"terms":[10],"relative":[13,26,65,94],"importance":[14,27,66,95],"objectives":[16,29,68],"evolutionary":[18],"multiobjective":[19],"optimization.":[20],"A":[21],"mathematical":[22],"model":[23,58,90],"and":[30,36,46,80,181],"an":[31,53,147],"elicitation":[32,122,140],"algorithm":[33,123,208],"are":[34,44,178],"proposed,":[35],"three":[37],"methods":[38],"incorporating":[40],"explicated":[41,167],"preference":[42,113,158,168],"information":[43,169],"described":[45,180],"applied":[47],"to":[48,127,153],"standard":[49],"test":[50,202],"problems":[51,203,217],"empirical":[54,187],"study.":[55],"The":[56,189],"axiomatic":[57],"proposed":[59,89],"here":[60],"formalizes":[61],"notion":[63],"as":[69,96,212],"a":[70,97,106,110,115,129,135,184,192,195],"partial":[71],"order":[72],"that":[73,205],"supports":[74],"strict":[75],"preference,":[76,146],"equality":[77],"importance,":[79],"incomparability":[81],"between":[82,109],"objective":[83],"pairs.":[84],"Unlike":[85],"most":[86],"approaches,":[87],"does":[91],"not":[92],"encode":[93],"set":[98,185],"real-valued":[100],"parameters.":[101],"Instead,":[102],"approach":[104,190],"provides":[105],"functional":[107],"correspondence":[108],"coherent":[111,136],"overall":[112,137,157],"with":[114],"subset":[116,196],"Pareto-optimal":[119],"front.":[120],"An":[121],"is":[124,150],"also":[125,151,179],"provided":[126],"assist":[128],"human":[130],"constructing":[134],"preference.":[138],"Besides":[139],"<i":[142],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">a</i>":[144],"priori":[145],"interactive":[148],"facility":[149],"furnished":[152],"enable":[154],"modification":[155],"while":[159],"search":[161],"progresses.":[162],"Three":[163],"techniques":[164],"integrating":[166],"into":[170],"well-known":[172],"Non-dominated":[173],"Sorting":[174],"Genetic":[175],"Algorithm":[176],"(NSGA)-II":[177],"validated":[182],"investigation.":[188],"allows":[191],"focus":[193],"on":[194,201],"Pareto-front.":[199],"Validations":[200],"demonstrate":[204],"preference-based":[207],"gained":[209],"better":[210],"convergence":[211],"dimensionality":[214],"increased.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
