{"id":"https://openalex.org/W3040188208","doi":"https://doi.org/10.1145/3377930.3390196","title":"Another difficulty of inverted triangular pareto fronts for decomposition-based multi-objective algorithms","display_name":"Another difficulty of inverted triangular pareto fronts for decomposition-based multi-objective algorithms","publication_year":2020,"publication_date":"2020-06-25","ids":{"openalex":"https://openalex.org/W3040188208","doi":"https://doi.org/10.1145/3377930.3390196","mag":"3040188208"},"language":"en","primary_location":{"id":"doi:10.1145/3377930.3390196","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3377930.3390196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2020 Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5091743513","display_name":"Linjun He","orcid":"https://orcid.org/0000-0002-4255-2538"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linjun He","raw_affiliation_strings":["Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060449535","display_name":"Auraham Camacho","orcid":"https://orcid.org/0000-0002-3549-0359"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Auraham Camacho","raw_affiliation_strings":["CINVESTAV Unidad Tamaulipas, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CINVESTAV Unidad Tamaulipas, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035595838","display_name":"Hisao Ishibuchi","orcid":"https://orcid.org/0000-0001-9186-6472"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hisao Ishibuchi","raw_affiliation_strings":["Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"498","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.7080106735229492},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6980651617050171},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6776375770568848},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5736371278762817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5148586630821228},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5132360458374023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4752749502658844},{"id":"https://openalex.org/keywords/pareto-distribution","display_name":"Pareto distribution","score":0.44845670461654663},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4404560923576355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3723389208316803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26852935552597046},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0805453360080719}],"concepts":[{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.7080106735229492},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6980651617050171},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6776375770568848},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5736371278762817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5148586630821228},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5132360458374023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4752749502658844},{"id":"https://openalex.org/C190373308","wikidata":"https://www.wikidata.org/wiki/Q837683","display_name":"Pareto distribution","level":2,"score":0.44845670461654663},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4404560923576355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3723389208316803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26852935552597046},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0805453360080719},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3377930.3390196","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3377930.3390196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2020 Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},{"id":"mag:3180304973","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=202002288641311664","pdf_url":null,"source":{"id":"https://openalex.org/S4306500161","display_name":"ACM Proceedings","issn_l":null,"issn":null,"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":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"ACM Proceedings","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1662894842","https://openalex.org/W1846834309","https://openalex.org/W2022485595","https://openalex.org/W2024008934","https://openalex.org/W2067544246","https://openalex.org/W2085507535","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2247472518","https://openalex.org/W2343601797","https://openalex.org/W2466060750","https://openalex.org/W2512660239","https://openalex.org/W2607407907","https://openalex.org/W2732724468","https://openalex.org/W2751605210","https://openalex.org/W2764251381","https://openalex.org/W2765722058","https://openalex.org/W2803331670","https://openalex.org/W2888338796","https://openalex.org/W4321359614"],"related_works":["https://openalex.org/W1491338215","https://openalex.org/W1545917223","https://openalex.org/W2040345527","https://openalex.org/W2744457076","https://openalex.org/W1993518163","https://openalex.org/W2123147238","https://openalex.org/W2316613179","https://openalex.org/W1493202049","https://openalex.org/W2034455697","https://openalex.org/W2117554875"],"abstract_inverted_index":{"A":[0],"set":[1],"of":[2,21,51,60,106,116,140],"uniformly":[3],"sampled":[4],"weight":[5,24,62,95,183],"vectors":[6,25],"from":[7],"a":[8,29,66,181],"unit":[9],"simplex":[10],"has":[11,68,108],"been":[12],"frequently":[13],"used":[14],"in":[15,142],"decomposition-based":[16,117],"multi-objective":[17,118],"algorithms.":[18],"The":[19],"number":[20],"the":[22,34,49,52,58,61,77,86,89,94,104,114,121,138],"generated":[23],"is":[26,55,135,150,156,165,171],"controlled":[27],"by":[28],"user-defined":[30],"parameter":[31],"H.":[32],"In":[33,98],"literature,":[35],"good":[36,157,166],"results":[37],"are":[38,81],"often":[39],"reported":[40],"on":[41,113],"test":[42,122],"problems":[43,123,160],"with":[44,57],"triangular":[45,71,126,189],"Pareto":[46,53,72,79,90,127,190],"fronts":[47,54],"since":[48],"shape":[50,92],"consistent":[56],"distribution":[59],"vectors.":[63],"However,":[64],"when":[65,120],"problem":[67],"an":[69,109,143],"inverted":[70,125,188],"front,":[73],"well-distributed":[74],"solutions":[75],"over":[76],"entire":[78],"front":[80,91],"not":[82],"obtained":[83],"due":[84],"to":[85,137],"inconsistency":[87],"between":[88],"and":[93],"vector":[96,184],"distribution.":[97],"this":[99],"paper,":[100],"we":[101,179],"demonstrate":[102],"that":[103],"specification":[105,139,185],"H":[107,141,147,153,162,168],"unexpected":[110,144],"large":[111],"effect":[112],"performance":[115,134],"algorithms":[119],"have":[124],"fronts.":[128,191],"We":[129],"clearly":[130],"explain":[131],"why":[132],"their":[133],"sensitive":[136],"manner":[145],"(e.g.,":[146],"=":[148,154,163,169],"3":[149,164],"bad":[151,172],"but":[152,167],"4":[155,170],"for":[158,173,187],"three-objective":[159],"whereas":[161],"four-objective":[174],"problems).":[175],"After":[176],"these":[177],"discussions,":[178],"suggest":[180],"simple":[182],"method":[186]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}