{"id":"https://openalex.org/W2065785894","doi":"https://doi.org/10.1109/socpar.2011.6089109","title":"The entropy metric in diversity of Multiobjective Evolutionary Algorithms","display_name":"The entropy metric in diversity of Multiobjective Evolutionary Algorithms","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2065785894","doi":"https://doi.org/10.1109/socpar.2011.6089109","mag":"2065785894"},"language":"en","primary_location":{"id":"doi:10.1109/socpar.2011.6089109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/socpar.2011.6089109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference of Soft Computing and Pattern Recognition (SoCPaR)","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/A5100660032","display_name":"Linlin Wang","orcid":"https://orcid.org/0000-0002-2805-7514"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linlin Wang","raw_affiliation_strings":["College of Overseas Education, Nanjing University of Posts and Telecommunications, Nanjing, China","College of Overseas Education, Nanjing University of Posts and Telecommunications, China, 210046"],"affiliations":[{"raw_affiliation_string":"College of Overseas Education, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"College of Overseas Education, Nanjing University of Posts and Telecommunications, China, 210046","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101457707","display_name":"Yunfang Chen","orcid":"https://orcid.org/0000-0002-6759-6342"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunfang Chen","raw_affiliation_strings":["College of Computer, Nanjing University of Posts and Telecommunications, Nanjing, China","College of Computer, Nanjing University of Posts and Telecommunications, China, 210046"],"affiliations":[{"raw_affiliation_string":"College of Computer, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"College of Computer, Nanjing University of Posts and Telecommunications, China, 210046","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002425899","display_name":"Yu Tang","orcid":"https://orcid.org/0000-0002-7067-8066"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Tang","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","College of Automation, Nanjing University of Posts and Telecommunications, China, 210046"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, China, 210046","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112317447","display_name":"Fang Sun","orcid":"https://orcid.org/0009-0008-0682-690X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Sun","raw_affiliation_strings":["College of Computer, Nanjing University of Posts and Telecommunications, Nanjing, China","College of Computer, Nanjing University of Posts and Telecommunications, China, 210046"],"affiliations":[{"raw_affiliation_string":"College of Computer, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"College of Computer, Nanjing University of Posts and Telecommunications, China, 210046","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100660032"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":0.6277,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69363675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"6","issue":null,"first_page":"217","last_page":"221"},"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":0.9994999766349792,"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":0.994700014591217,"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/entropy","display_name":"Entropy (arrow of time)","score":0.6829903721809387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5397686958312988},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5024881362915039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4982876777648926},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.49215954542160034},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4709304869174957},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4216918349266052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4114701747894287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3459349274635315},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09062638878822327}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6829903721809387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5397686958312988},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5024881362915039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4982876777648926},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.49215954542160034},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4709304869174957},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4216918349266052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4114701747894287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3459349274635315},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09062638878822327},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/socpar.2011.6089109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/socpar.2011.6089109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference of Soft Computing and Pattern Recognition (SoCPaR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1491237923","https://openalex.org/W1504943474","https://openalex.org/W1607104331","https://openalex.org/W1995875735","https://openalex.org/W2039191483","https://openalex.org/W2089712253","https://openalex.org/W2106334424","https://openalex.org/W2164500538","https://openalex.org/W4233783227"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W2164920121"],"abstract_inverted_index":{"Quality":[0],"assessment":[1],"of":[2,32,42,55,62,100,116,139],"Multiobjective":[3],"Optimization":[4],"Evolutionary":[5],"Algorithms":[6],"(MOEA)":[7],"has":[8,141],"been":[9],"a":[10,73,109,120,137],"major":[11],"concern":[12],"in":[13,28,70,82,144],"scientific":[14],"field":[15],"during":[16],"the":[17,30,53,56,60,97,113,126,148],"last":[18],"few":[19],"years.":[20],"The":[21,40],"entropy":[22,43,57,67,83,102],"metric":[23,58,103],"is":[24],"introduced":[25],"and":[26,59,85],"highlighted":[27],"computing":[29],"diversity":[31,47,64],"MOEA.":[33],"Existing":[34],"performance":[35,118],"metrics":[36,48],"are":[37,49,68,88,104],"briefly":[38],"reviewed.":[39],"advantages":[41],"approach":[44,61],"over":[45],"other":[46],"classified":[50],"here.":[51],"Besides,":[52],"definition":[54],"measuring":[63],"based":[65],"on":[66,112,119],"presented,":[69],"which":[71,106],"section":[72],"detailed":[74],"explanation":[75],"about":[76],"how":[77],"to":[78,132,146],"choose":[79],"appropriate":[80],"parameters":[81],"measurement":[84],"programming":[86],"techniques":[87],"given.":[89],"Above":[90],"all,":[91],"some":[92],"significant":[93],"conclusions":[94],"arised":[95],"from":[96],"further":[98],"study":[99],"this":[101],"summarized,":[105],"may":[107],"have":[108],"meaningful":[110],"impact":[111],"high-efficient":[114],"comparisons":[115],"MOEA":[117],"quantitative":[121],"basis.":[122],"Last":[123],"but":[124],"not":[125,136],"least,":[127],"it":[128],"will":[129],"help":[130],"researchers":[131],"determine":[133],"whether":[134],"or":[135],"population":[138],"solutions":[140],"reached":[142],"maturity,":[143],"order":[145],"end":[147],"optimization":[149],"process":[150],"evaluation":[151],"process.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
