{"id":"https://openalex.org/W3198815918","doi":"https://doi.org/10.3390/a14090258","title":"A Novel Semi-Supervised Fuzzy C-Means Clustering Algorithm Using Multiple Fuzzification Coefficients","display_name":"A Novel Semi-Supervised Fuzzy C-Means Clustering Algorithm Using Multiple Fuzzification Coefficients","publication_year":2021,"publication_date":"2021-08-29","ids":{"openalex":"https://openalex.org/W3198815918","doi":"https://doi.org/10.3390/a14090258","mag":"3198815918"},"language":"en","primary_location":{"id":"doi:10.3390/a14090258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14090258","pdf_url":"https://www.mdpi.com/1999-4893/14/9/258/pdf?version=1630577003","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/14/9/258/pdf?version=1630577003","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011447933","display_name":"Tr\u1ea7n \u0110\u00ecnh Kh\u00e1ng","orcid":"https://orcid.org/0000-0002-2371-858X"},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Tran Dinh Khang","raw_affiliation_strings":["Department of Information Systems, Hanoi University of Science and Technology, Hanoi 10000, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems, Hanoi University of Science and Technology, Hanoi 10000, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012099379","display_name":"Manh\u2010Kien Tran","orcid":"https://orcid.org/0000-0001-9937-1749"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Manh-Kien Tran","raw_affiliation_strings":["Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002554251","display_name":"Michael Fowler","orcid":"https://orcid.org/0000-0002-9761-0336"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Fowler","raw_affiliation_strings":["Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011447933"],"corresponding_institution_ids":["https://openalex.org/I94518387"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.5396,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86108392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"9","first_page":"258","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9975000023841858,"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":0.9975000023841858,"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":0.9710000157356262,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9524000287055969,"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":0.7342123985290527},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.6347774863243103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5458685159683228},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5149520039558411},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4896159768104553},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.46244698762893677},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45530763268470764},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4551025927066803},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.43497923016548157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37017160654067993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34770214557647705},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3362972140312195}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7342123985290527},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.6347774863243103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5458685159683228},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5149520039558411},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4896159768104553},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.46244698762893677},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45530763268470764},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4551025927066803},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.43497923016548157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37017160654067993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34770214557647705},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3362972140312195}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a14090258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14090258","pdf_url":"https://www.mdpi.com/1999-4893/14/9/258/pdf?version=1630577003","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a27df4841cab42f9addd56e1e6a2b065","is_oa":true,"landing_page_url":"https://doaj.org/article/a27df4841cab42f9addd56e1e6a2b065","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 14, Iss 9, p 258 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/14/9/258/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a14090258","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 14; Issue 9; Pages: 258","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a14090258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14090258","pdf_url":"https://www.mdpi.com/1999-4893/14/9/258/pdf?version=1630577003","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6340182785","display_name":null,"funder_award_id":"102.05\u20132018.02","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3198815918.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W2013900754","https://openalex.org/W2058063871","https://openalex.org/W2060797158","https://openalex.org/W2077061001","https://openalex.org/W2077276425","https://openalex.org/W2103535990","https://openalex.org/W2106650695","https://openalex.org/W2319017187","https://openalex.org/W2479531384","https://openalex.org/W2567736956","https://openalex.org/W2588865889","https://openalex.org/W2771580815","https://openalex.org/W2810183518","https://openalex.org/W2911008619","https://openalex.org/W2917681711","https://openalex.org/W2994472006","https://openalex.org/W3019927586","https://openalex.org/W3038456932","https://openalex.org/W3083424454","https://openalex.org/W3159121568"],"related_works":["https://openalex.org/W1999117613","https://openalex.org/W2040929534","https://openalex.org/W3022637481","https://openalex.org/W4224807364","https://openalex.org/W2596632494","https://openalex.org/W2945382830","https://openalex.org/W4312412183","https://openalex.org/W4292434959","https://openalex.org/W2535986621","https://openalex.org/W4388110928"],"abstract_inverted_index":{"Clustering":[0,36],"is":[1,18,49,64,86],"an":[2,106],"unsupervised":[3,42],"machine":[4,43],"learning":[5,44],"method":[6,174],"with":[7,156],"many":[8,78],"practical":[9],"applications":[10],"that":[11,28,47],"has":[12],"gathered":[13],"extensive":[14],"research":[15],"interest.":[16],"It":[17],"a":[19,74,87,95,176],"technique":[20],"of":[21,41,55,61,114,130,165,172],"dividing":[22],"data":[23,62],"elements":[24,29,116],"into":[25,120],"clusters":[26,122],"such":[27],"in":[30,66,101],"the":[31,39,53,56,92,102,111,115,124,132,144,149,163,166,170,173],"same":[32],"cluster":[33],"are":[34],"similar.":[35],"belongs":[37],"to":[38,72,104,109,117,137,142],"group":[40],"techniques,":[45],"meaning":[46],"there":[48],"no":[50],"information":[51],"about":[52],"labels":[54],"elements.":[57],"However,":[58],"when":[59],"knowledge":[60],"points":[63],"known":[65],"advance,":[67],"it":[68,98],"will":[69],"be":[70],"beneficial":[71],"use":[73,105,138],"semi-supervised":[75,96,151],"algorithm.":[76],"Within":[77],"clustering":[79,84,154],"techniques":[80],"available,":[81],"fuzzy":[82,152],"C-means":[83,153],"(FCM)":[85],"common":[88],"one.":[89],"To":[90],"make":[91],"FCM":[93],"algorithm":[94,155,167],"method,":[97],"was":[99],"proposed":[100,136,150],"literature":[103],"auxiliary":[107,133],"matrix":[108],"adjust":[110],"membership":[112],"grade":[113],"force":[118],"them":[119],"certain":[121],"during":[123],"computation.":[125],"In":[126],"this":[127],"study,":[128],"instead":[129],"using":[131],"matrix,":[134],"we":[135,161],"multiple":[139,157],"fuzzification":[140,158],"coefficients":[141,159],"implement":[143],"semi-supervision":[145],"component.":[146],"After":[147],"deriving":[148],"(sSMC-FCM),":[160],"demonstrated":[162],"convergence":[164],"and":[168],"validated":[169],"efficiency":[171],"through":[175],"numerical":[177],"example.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}