{"id":"https://openalex.org/W1498162571","doi":"https://doi.org/10.1109/cec.2015.7257240","title":"A ranking method based on two preference criteria: Chebyshev function and ε-indicator","display_name":"A ranking method based on two preference criteria: Chebyshev function and ε-indicator","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1498162571","doi":"https://doi.org/10.1109/cec.2015.7257240","mag":"1498162571"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2015.7257240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2015.7257240","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/A5004081016","display_name":"Antonio L\u00f3pez J\u00e1imes","orcid":null},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Antonio Lopez Jaimes","raw_affiliation_strings":["Departamento de Matematicas Aplicadas y Sistemas, Univesidad Autonoma Metropolitana-Cuajimalpa, Mexico D. F., MEXICO","Departamento de Matem\u00e1ticas Aplicadas y Sistemas, Univesidad Aut \u00f3noma Metropolitana - Cuajimalpa, Av. Vasco de Quiroga 4871, M\u00e9xico, D.F., M\u00c9XICO"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matematicas Aplicadas y Sistemas, Univesidad Autonoma Metropolitana-Cuajimalpa, Mexico D. F., MEXICO","institution_ids":["https://openalex.org/I200362191"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Aplicadas y Sistemas, Univesidad Aut \u00f3noma Metropolitana - Cuajimalpa, Av. Vasco de Quiroga 4871, M\u00e9xico, D.F., M\u00c9XICO","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016516233","display_name":"Akira Oyama","orcid":"https://orcid.org/0000-0003-1432-8165"},"institutions":[{"id":"https://openalex.org/I2800865746","display_name":"Japan Aerospace Exploration Agency","ror":"https://ror.org/059yhyy33","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800865746"]},{"id":"https://openalex.org/I4210136277","display_name":"Institute of Space and Astronautical Science","ror":"https://ror.org/034gcgw60","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Oyama","raw_affiliation_strings":["Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Kanagawa, JAPAN","Institute of Space and Astronautical Science Japan Aerospace Exploration Agency, 3-1-1, Yoshinodai Sagamihara Kanagawa 252-5210 Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Kanagawa, JAPAN","institution_ids":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]},{"raw_affiliation_string":"Institute of Space and Astronautical Science Japan Aerospace Exploration Agency, 3-1-1, Yoshinodai Sagamihara Kanagawa 252-5210 Japan","institution_ids":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078842394","display_name":"Kozo Fujii","orcid":"https://orcid.org/0000-0002-2070-6575"},"institutions":[{"id":"https://openalex.org/I2800865746","display_name":"Japan Aerospace Exploration Agency","ror":"https://ror.org/059yhyy33","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800865746"]},{"id":"https://openalex.org/I4210136277","display_name":"Institute of Space and Astronautical Science","ror":"https://ror.org/034gcgw60","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kozo Fujii","raw_affiliation_strings":["Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Kanagawa, JAPAN","Institute of Space and Astronautical Science Japan Aerospace Exploration Agency, 3-1-1, Yoshinodai Sagamihara Kanagawa 252-5210 Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Kanagawa, JAPAN","institution_ids":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]},{"raw_affiliation_string":"Institute of Space and Astronautical Science Japan Aerospace Exploration Agency, 3-1-1, Yoshinodai Sagamihara Kanagawa 252-5210 Japan","institution_ids":["https://openalex.org/I2800865746","https://openalex.org/I4210136277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1805,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87475667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2827","last_page":"2834"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9983999729156494,"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/T11053","display_name":"Process Optimization and Integration","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7695996165275574},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.7298429608345032},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.7101259827613831},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6807457804679871},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6101853847503662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.580292820930481},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.5668654441833496},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5574477314949036},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5572500824928284},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.5540779232978821},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5363171696662903},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.4931747317314148},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40733227133750916},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39500927925109863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31944888830184937},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2258109748363495},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19642066955566406},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.17589238286018372},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.15517044067382812}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7695996165275574},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.7298429608345032},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.7101259827613831},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6807457804679871},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6101853847503662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.580292820930481},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.5668654441833496},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5574477314949036},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5572500824928284},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.5540779232978821},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5363171696662903},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.4931747317314148},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40733227133750916},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39500927925109863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31944888830184937},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2258109748363495},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19642066955566406},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.17589238286018372},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.15517044067382812},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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":1,"locations":[{"id":"doi:10.1109/cec.2015.7257240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2015.7257240","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":16,"referenced_works":["https://openalex.org/W121448509","https://openalex.org/W1501461456","https://openalex.org/W1588375755","https://openalex.org/W1601556876","https://openalex.org/W1605170913","https://openalex.org/W1823686600","https://openalex.org/W1846834309","https://openalex.org/W1987958230","https://openalex.org/W2065932794","https://openalex.org/W2097536098","https://openalex.org/W2098907614","https://openalex.org/W2126105956","https://openalex.org/W2496549543","https://openalex.org/W4285719527","https://openalex.org/W6635433731","https://openalex.org/W6638693409"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2382532955","https://openalex.org/W2106962382","https://openalex.org/W2541927208","https://openalex.org/W4213342932","https://openalex.org/W2056379897"],"abstract_inverted_index":{"Previously":[0],"a":[1,32,67,100,135,163],"preference":[2,20,110],"relation":[3,21],"based":[4,36,106],"on":[5,37,107],"the":[6,23,38,41,57,60,89,96,104,113,116,121,139,149,157],"Chebyshev":[7,42],"achievement":[8,43],"function":[9],"to":[10,55,65,73,155],"solve":[11],"many-objective":[12],"optimization":[13],"problems":[14],"was":[15],"proposed.":[16],"Although":[17],"using":[18],"this":[19,28,48],"improved":[22],"performance":[24,58],"of":[25,47,59,138,166],"NSGA-II,":[26],"in":[27,71,128],"paper":[29],"we":[30,92],"present":[31,134],"new":[33,49,140],"ranking":[34],"method":[35,50,70,101],"\u2208-indicator":[39],"and":[40,63,124],"function.":[44],"The":[45,143],"goal":[46],"is":[51,152],"two":[52,109],"fold:":[53],"i)":[54],"improve":[56],"original":[61,90],"algorithm,":[62],"ii)":[64],"design":[66],"parallel":[68,136],"sorting":[69,98,141],"order":[72],"use":[74],"it":[75],"with":[76],"large":[77,164],"populations":[78],"(\u226b":[79],"10":[80],"4":[83],"individuals).":[84],"To":[85],"do":[86],"so,":[87],"unlike":[88],"approach,":[91],"have":[93],"completely":[94],"replaced":[95],"nondominated":[97],"by":[99],"that":[102,148],"ranks":[103],"population":[105],"these":[108],"criteria.":[111],"As":[112],"experiments":[114],"show,":[115],"resulting":[117],"algorithm":[118],"outperforms":[119],"both":[120],"standard":[122],"NSGA-II":[123],"our":[125],"previous":[126],"approach":[127],"selected":[129],"DTLZ":[130],"problems.":[131],"We":[132],"also":[133],"implementation":[137],"method.":[142],"running":[144],"time":[145],"analysis":[146],"shows":[147],"communication":[150],"overhead":[151],"low":[153],"enough":[154],"allow":[156],"speedup":[158],"reach":[159],"its":[160],"peak":[161],"for":[162],"number":[165],"processors.":[167]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}