{"id":"https://openalex.org/W2121713184","doi":"https://doi.org/10.1109/icsmc.2009.5346949","title":"Variable-geometry clustering and its optimization","display_name":"Variable-geometry clustering and its optimization","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2121713184","doi":"https://doi.org/10.1109/icsmc.2009.5346949","mag":"2121713184"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2009.5346949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","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/A5059719162","display_name":"Adam Pedrycz","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Adam Pedrycz","raw_affiliation_strings":["Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109308961","display_name":"Fangyan Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fangyan Dong","raw_affiliation_strings":["Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065389686","display_name":"Kaoru Hirota","orcid":"https://orcid.org/0000-0002-8118-9815"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kaoru Hirota","raw_affiliation_strings":["Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Computational Intelligence and Intelligent Informatics, Tokyo Institute of Technology, Yokohama, Japan#TAB#","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12786176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"680","last_page":"685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9977999925613403,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9537000060081482,"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/cluster-analysis","display_name":"Cluster analysis","score":0.7828817367553711},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6674313545227051},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.5714108943939209},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5593746900558472},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5405427813529968},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.5014190673828125},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49007880687713623},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4751013517379761},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4705287218093872},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.4586378037929535},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4329814314842224},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.43231403827667236},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4180172085762024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37907373905181885},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36742210388183594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2950926423072815}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7828817367553711},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6674313545227051},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.5714108943939209},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5593746900558472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5405427813529968},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.5014190673828125},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49007880687713623},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4751013517379761},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4705287218093872},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.4586378037929535},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4329814314842224},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.43231403827667236},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4180172085762024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37907373905181885},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36742210388183594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2950926423072815},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2009.5346949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","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":12,"referenced_works":["https://openalex.org/W1495744312","https://openalex.org/W1911694221","https://openalex.org/W2056708038","https://openalex.org/W2113076747","https://openalex.org/W2115602682","https://openalex.org/W2117341849","https://openalex.org/W2120529703","https://openalex.org/W2124823351","https://openalex.org/W2143218934","https://openalex.org/W2148644417","https://openalex.org/W2302947639","https://openalex.org/W6664792943"],"related_works":["https://openalex.org/W2113650225","https://openalex.org/W2140214100","https://openalex.org/W2393398569","https://openalex.org/W4315650968","https://openalex.org/W2244451531","https://openalex.org/W69428385","https://openalex.org/W2368099866","https://openalex.org/W2965421953","https://openalex.org/W2350737211","https://openalex.org/W2373554757"],"abstract_inverted_index":{"Clustering":[0],"is":[1,22,93,109,128],"often":[2],"viewed":[3],"as":[4,148],"a":[5,23,44,76,139],"synonym":[6],"of":[7,20,46,53,126,129,145,165],"techniques":[8],"used":[9],"to":[10,27],"reveal":[11],"the":[12,36,59,106,143,150,158,161,166],"structure":[13],"in":[14,57,80,103,118],"data.":[15],"The":[16,90],"inherent":[17],"geometrical":[18],"diversity":[19],"data":[21],"strong":[24],"motivating":[25],"factor":[26],"search":[28],"for":[29],"geometrically":[30,47],"flexible":[31],"clusters":[32,66],"design":[33],"supported":[34,94],"by":[35,95,111,153],"clustering":[37,50,146],"algorithms.":[38],"In":[39],"this":[40,123],"study,":[41],"we":[42],"introduce":[43,75],"concept":[45],"variable":[48],"fuzzy":[49],"(making":[51],"use":[52],"Fuzzy":[54],"C-Means,":[55],"FCM),":[56],"which":[58,81,137],"fuzzification":[60],"coefficients":[61],"are":[62,88],"associated":[63],"with":[64,70,133],"individual":[65],"thus":[67],"endowing":[68],"them":[69],"significant":[71],"geometric":[72],"flexibility.":[73],"We":[74,120],"hybrid":[77,124],"optimization":[78,86,92,108,127],"environment":[79],"both":[82],"global":[83,91],"and":[84],"local":[85,107],"mechanisms":[87],"engaged.":[89],"evolutionary":[96],"computing":[97],"(and":[98],"particle":[99],"swarm":[100],"optimization,":[101],"PSO,":[102],"particular)":[104],"whereas":[105],"realized":[110],"adopting":[112],"some":[113],"modified":[114],"iterative":[115],"schemes":[116],"encountered":[117],"FCM.":[119],"show":[121],"that":[122],"vehicle":[125],"interest":[130],"when":[131],"dealing":[132],"comprehensive":[134],"fitness":[135],"functions":[136],"quantify":[138],"general":[140],"view":[141],"at":[142],"results":[144],"(such":[147],"e.g.,":[149],"one":[151,159],"expressed":[152],"cluster":[154],"validity":[155],"indexes":[156],"or":[157],"articulating":[160],"mapping-":[162],"reconstruction":[163],"capabilities":[164],"clusters).":[167]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
