{"id":"https://openalex.org/W2980402111","doi":"https://doi.org/10.1109/tfuzz.2019.2947231","title":"Hyperplane Division in Fuzzy C-Means: Clustering Big Data","display_name":"Hyperplane Division in Fuzzy C-Means: Clustering Big Data","publication_year":2019,"publication_date":"2019-10-14","ids":{"openalex":"https://openalex.org/W2980402111","doi":"https://doi.org/10.1109/tfuzz.2019.2947231","mag":"2980402111"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2019.2947231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2947231","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-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/A5041425394","display_name":"Yinghua Shen","orcid":"https://orcid.org/0000-0003-4080-5535"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinghua Shen","raw_affiliation_strings":["School of Economics and Business Administration, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-4080-5535","affiliations":[{"raw_affiliation_string":"School of Economics and Business Administration, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["CA","PL","SA"],"is_corresponding":false,"raw_author_name":"Witold Pedrycz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","Systems Research Institute, Polish Academy of Sciences,, Warsaw, Poland"],"raw_orcid":"https://orcid.org/0000-0002-9335-9930","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences,, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100400895","display_name":"Yuan Chen","orcid":"https://orcid.org/0000-0002-1945-2512"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Chen","raw_affiliation_strings":["College of Management and Economics, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Management and Economics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079594633","display_name":"Xianmin Wang","orcid":"https://orcid.org/0000-0003-0433-780X"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianmin Wang","raw_affiliation_strings":["Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-0433-780X","affiliations":[{"raw_affiliation_string":"Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050142094","display_name":"Adam Gacek","orcid":"https://orcid.org/0000-0002-0836-2976"},"institutions":[{"id":"https://openalex.org/I4210125040","display_name":"Institute of Medical Technology and Equipment","ror":"https://ror.org/02ks0br87","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210125040"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Adam Gacek","raw_affiliation_strings":["Institute of Medical Technology and Equipment ITAM, Zabrze, Poland"],"raw_orcid":"https://orcid.org/0000-0002-0836-2976","affiliations":[{"raw_affiliation_string":"Institute of Medical Technology and Equipment ITAM, Zabrze, Poland","institution_ids":["https://openalex.org/I4210125040"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.8667,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.92511982,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"28","issue":"11","first_page":"3032","last_page":"3046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10057","display_name":"Face and Expression Recognition","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.8420401811599731},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7127459645271301},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7117589712142944},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.6455972194671631},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.6444475650787354},{"id":"https://openalex.org/keywords/single-linkage-clustering","display_name":"Single-linkage clustering","score":0.5875336527824402},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.5671457052230835},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5297316908836365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5198436379432678},{"id":"https://openalex.org/keywords/big-data","display_name":"Big data","score":0.5015246868133545},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.49788331985473633},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4723571240901947},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.4708673059940338},{"id":"https://openalex.org/keywords/data-stream-clustering","display_name":"Data stream clustering","score":0.4536066949367523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4435592293739319},{"id":"https://openalex.org/keywords/canopy-clustering-algorithm","display_name":"Canopy clustering algorithm","score":0.43216800689697266},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.4223824739456177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30837714672088623},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09809410572052002}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8420401811599731},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7127459645271301},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7117589712142944},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.6455972194671631},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.6444475650787354},{"id":"https://openalex.org/C22648726","wikidata":"https://www.wikidata.org/wiki/Q7523744","display_name":"Single-linkage clustering","level":5,"score":0.5875336527824402},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.5671457052230835},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5297316908836365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5198436379432678},{"id":"https://openalex.org/C75684735","wikidata":"https://www.wikidata.org/wiki/Q858810","display_name":"Big data","level":2,"score":0.5015246868133545},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.49788331985473633},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4723571240901947},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.4708673059940338},{"id":"https://openalex.org/C193143536","wikidata":"https://www.wikidata.org/wiki/Q5227360","display_name":"Data stream clustering","level":5,"score":0.4536066949367523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4435592293739319},{"id":"https://openalex.org/C104047586","wikidata":"https://www.wikidata.org/wiki/Q5033439","display_name":"Canopy clustering algorithm","level":4,"score":0.43216800689697266},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.4223824739456177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30837714672088623},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09809410572052002},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2019.2947231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2947231","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325651","display_name":"Alberta Innovates","ror":null},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W133779880","https://openalex.org/W1991039395","https://openalex.org/W1995450389","https://openalex.org/W1997152779","https://openalex.org/W2045470243","https://openalex.org/W2058063871","https://openalex.org/W2064128636","https://openalex.org/W2073243777","https://openalex.org/W2095679991","https://openalex.org/W2109574129","https://openalex.org/W2118211060","https://openalex.org/W2119391140","https://openalex.org/W2124642181","https://openalex.org/W2125734176","https://openalex.org/W2127856486","https://openalex.org/W2135081738","https://openalex.org/W2158512124","https://openalex.org/W2167383409","https://openalex.org/W2312529327","https://openalex.org/W2312599005","https://openalex.org/W2356195073","https://openalex.org/W2468293808","https://openalex.org/W2518417797","https://openalex.org/W2542194815","https://openalex.org/W2606056073","https://openalex.org/W2749408386","https://openalex.org/W2751422831","https://openalex.org/W2753000405","https://openalex.org/W2757727956","https://openalex.org/W2788907035","https://openalex.org/W2791449998","https://openalex.org/W2799747333","https://openalex.org/W2907942927","https://openalex.org/W2908991417","https://openalex.org/W2912565176","https://openalex.org/W2917947323","https://openalex.org/W2952171869","https://openalex.org/W3124226742","https://openalex.org/W4211007335","https://openalex.org/W4251742697","https://openalex.org/W6744466974"],"related_works":["https://openalex.org/W2160785859","https://openalex.org/W2188840951","https://openalex.org/W2559422900","https://openalex.org/W4301002638","https://openalex.org/W3120229345","https://openalex.org/W2590117803","https://openalex.org/W2393707058","https://openalex.org/W2202413591","https://openalex.org/W2389934482","https://openalex.org/W2388628913"],"abstract_inverted_index":{"Big":[0],"data":[1,42,54,60,71,182,188],"with":[2],"a":[3,34,108,114,118,172],"large":[4,109],"number":[5,110,116],"of":[6,57,63,93,96,120,165,178],"observations":[7],"(samples)":[8],"have":[9],"posed":[10],"genuine":[11],"challenges":[12],"for":[13],"fuzzy":[14,18],"clustering":[15,102,127,141,179,189],"algorithms":[16],"and":[17,145,155,168,183],"C-means":[19],"(FCM),":[20],"in":[21,73,125,171],"particular.":[22],"In":[23],"this":[24],"article,":[25],"we":[26,50,129,159],"propose":[27,130],"an":[28],"original":[29],"algorithm":[30],"referred":[31],"to":[32,38,87,90,139],"as":[33],"hyperplane":[35,136],"division":[36,137],"method":[37,177],"split":[39],"the":[40,53,58,70,74,91,94,97,101,126,135,149,176,180],"entire":[41,59,181],"set":[43],"into":[44],"disjoint":[45,48,83],"subsets.":[46],"By":[47,147],"subsets,":[49],"mean":[51],"that":[52,106],"subspaces":[55],"(parts":[56],"space),":[61],"each":[62,80],"which":[64],"is":[65],"supported":[66],"or":[67,113],"spanned":[68],"by":[69,100],"points":[72],"corresponding":[75,131],"subset,":[76],"do":[77],"not":[78],"overlap":[79],"other.":[81],"The":[82],"subsets":[84],"turned":[85],"out":[86],"be":[88,123],"beneficial":[89],"improvement":[92],"quality":[95],"clusters":[98,121],"formed":[99],"algorithms.":[103],"Moreover,":[104],"considering":[105],"either":[107],"(say,":[111,117],"thousands)":[112],"small":[115],"few)":[119],"may":[122],"pursued":[124],"task,":[128],"strategies":[132,151],"(based":[133],"on":[134,152],"method)":[138],"make":[140],"processes":[142],"feasible,":[143],"efficient,":[144],"effective.":[146],"validating":[148],"proposed":[150],"both":[153,166],"synthetic":[154],"publicly":[156],"available":[157],"data,":[158],"show":[160],"their":[161],"superiority":[162],"(in":[163],"terms":[164],"efficiency":[167],"effectiveness)":[169],"manifested":[170],"visible":[173],"way":[174],"over":[175,184],"some":[185],"representative":[186],"big":[187],"methods.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
