{"id":"https://openalex.org/W3083453106","doi":"https://doi.org/10.1109/cec48606.2020.9185835","title":"A Novel Grid-based Crowding Distance for Multimodal Multi-objective Optimization","display_name":"A Novel Grid-based Crowding Distance for Multimodal Multi-objective Optimization","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3083453106","doi":"https://doi.org/10.1109/cec48606.2020.9185835","mag":"3083453106"},"language":"en","primary_location":{"id":"doi:10.1109/cec48606.2020.9185835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec48606.2020.9185835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 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/A5018232689","display_name":"Mahrokh Javadi","orcid":"https://orcid.org/0000-0002-4787-8035"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mahrokh Javadi","raw_affiliation_strings":["Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065771860","display_name":"Cristian Ramirez\u2010Atencia","orcid":"https://orcid.org/0000-0002-7953-603X"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Cristian Ramirez-Atencia","raw_affiliation_strings":["Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064569017","display_name":"Sanaz Mostaghim","orcid":"https://orcid.org/0000-0002-9917-5227"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sanaz Mostaghim","raw_affiliation_strings":["Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Otto von Guericke University Magdeburg, Universit\u00e4tsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018232689"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":null,"apc_paid":null,"fwci":1.2665,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84682826,"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":"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":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":0.9987999796867371,"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":0.9868000149726868,"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/crowding","display_name":"Crowding","score":0.8190591335296631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6713598966598511},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5596867799758911},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5581390857696533},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5493344068527222},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.522291898727417},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5160641074180603},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46547219157218933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37009868025779724},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.35093581676483154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2771782875061035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27242228388786316}],"concepts":[{"id":"https://openalex.org/C149333683","wikidata":"https://www.wikidata.org/wiki/Q5189188","display_name":"Crowding","level":2,"score":0.8190591335296631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6713598966598511},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5596867799758911},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5581390857696533},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5493344068527222},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.522291898727417},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5160641074180603},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46547219157218933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37009868025779724},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.35093581676483154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2771782875061035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27242228388786316},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","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/cec48606.2020.9185835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec48606.2020.9185835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W39891476","https://openalex.org/W2071694551","https://openalex.org/W2126105956","https://openalex.org/W2158320871","https://openalex.org/W2558610617","https://openalex.org/W2583230990","https://openalex.org/W2758008099","https://openalex.org/W2764251381","https://openalex.org/W2808442772","https://openalex.org/W2888051633","https://openalex.org/W2933307200","https://openalex.org/W2958271860","https://openalex.org/W3106832946","https://openalex.org/W3107032938","https://openalex.org/W3216351816","https://openalex.org/W6752182310","https://openalex.org/W6786140910","https://openalex.org/W6786807807","https://openalex.org/W6804376020"],"related_works":["https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2751605210","https://openalex.org/W3151104768","https://openalex.org/W2419109832","https://openalex.org/W2068949283","https://openalex.org/W2891428731","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Preserving":[0],"diversity":[1,56,81,131],"in":[2,9,58,84,101,106],"decision":[3,60,72,86,102],"space":[4,73],"plays":[5],"an":[6],"important":[7],"role":[8],"Multimodal":[10],"Multi-objective":[11,34],"Optimization":[12],"problems":[13],"(MMOPs).":[14],"Due":[15],"to":[16,21,42,77,119],"the":[17,26,32,59,65,110,121,130,135,142,145,149],"lack":[18],"of":[19,31,67,82,113,123,134,162],"mechanisms":[20],"keep":[22,78],"different":[23,92,157,160],"solutions":[24,83],"with":[25,46,98,141,159],"same":[27],"fitness":[28],"value,":[29],"most":[30],"available":[33],"Evolutionary":[35],"Algorithms":[36],"(MOEAs)":[37],"perform":[38],"poorly":[39],"when":[40],"applied":[41],"MMOPs.":[43],"To":[44,62],"deal":[45],"these":[47,124],"problems,":[48],"this":[49,63,96],"paper":[50],"proposes":[51],"a":[52,79],"novel":[53],"method":[54,97],"for":[55,71],"preserving":[57,132],"space.":[61],"end,":[64],"concept":[66],"grid-based":[68],"crowding":[69,99,104,115],"distance":[70,100,105],"is":[74],"introduced.":[75],"Furthermore,":[76],"good":[80],"both":[85,114],"and":[87,109,138,148],"objective":[88,107],"spaces,":[89],"we":[90,126],"propose":[91],"frameworks":[93],"by":[94],"combining":[95],"space,":[103,108],"weighted":[111],"sum":[112],"distances.":[116],"In":[117],"order":[118],"evaluate":[120],"performance":[122],"frameworks,":[125],"integrate":[127],"them":[128,140],"into":[129],"part":[133],"NSGA-II":[136,143],"algorithm,":[137],"compare":[139],"(as":[144],"baseline":[146],"algorithm)":[147],"state-of-the-art":[150],"multimodal":[151],"multi-objective":[152],"optimization":[153],"algorithms":[154],"on":[155],"ten":[156],"MMOPs":[158],"levels":[161],"complexity.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}