{"id":"https://openalex.org/W2017337034","doi":"https://doi.org/10.1109/grc.2011.6122668","title":"Fuzzy c-means clustering for data with tolerance using cosine correlation","display_name":"Fuzzy c-means clustering for data with tolerance using cosine correlation","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2017337034","doi":"https://doi.org/10.1109/grc.2011.6122668","mag":"2017337034"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2011.6122668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","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/A5014553006","display_name":"Aoi Takahashi","orcid":"https://orcid.org/0000-0003-3881-3202"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Aoi Takahashi","raw_affiliation_strings":["Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101943648","display_name":"Yasunori Endo","orcid":"https://orcid.org/0000-0003-2968-4613"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasunori Endo","raw_affiliation_strings":["Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102283856","display_name":"Sadaaki Miyamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Sadaaki Miyamoto","raw_affiliation_strings":["Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014553006"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09875838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"619","last_page":"624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9728999733924866,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8038923740386963},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5927345156669617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.556717574596405},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5309621095657349},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5207957625389099},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48362651467323303},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.47161605954170227},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4666217565536499},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.45961400866508484},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.4556789994239807},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.4156431257724762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35227710008621216},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3499051332473755},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30063486099243164},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07534503936767578}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8038923740386963},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5927345156669617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.556717574596405},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5309621095657349},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5207957625389099},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48362651467323303},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.47161605954170227},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4666217565536499},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.45961400866508484},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.4556789994239807},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.4156431257724762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35227710008621216},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3499051332473755},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30063486099243164},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07534503936767578},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2011.6122668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1584532972","https://openalex.org/W2113076747","https://openalex.org/W2278532921","https://openalex.org/W4251230527","https://openalex.org/W6694777023"],"related_works":["https://openalex.org/W2556490192","https://openalex.org/W2892323093","https://openalex.org/W2361242132","https://openalex.org/W3071522575","https://openalex.org/W3140018618","https://openalex.org/W2406185607","https://openalex.org/W2389934482","https://openalex.org/W2374506950","https://openalex.org/W2353443653","https://openalex.org/W4308301473"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,14,57],"new":[4,58],"type":[5],"of":[6,34,49,88],"clustering":[7,32,59],"algorithm":[8,33,79,91],"by":[9],"using":[10],"cosine":[11,38],"correlation":[12,39],"and":[13,55,77],"tolerance":[15,50,63],"vector.":[16],"We":[17],"aim":[18],"to":[19],"handle":[20,42],"uncertain":[21],"data":[22],"with":[23,29,37],"some":[24,95],"range":[25],"or":[26],"missing":[27],"values":[28],"the":[30,47,52,62,72,78,84,89],"typical":[31],"fuzzy":[35],"c-means":[36],"(FCM-C).":[40],"To":[41],"such":[43],"data,":[44],"we":[45],"introduce":[46],"concept":[48],"into":[51,67],"above":[53],"FCM-C,":[54],"construct":[56],"algorithm.":[60],"First,":[61],"vector":[64],"is":[65,75,80,92],"introduced":[66],"an":[68],"optimization":[69,73],"problem.":[70],"Second,":[71],"problem":[74],"solved":[76],"constructed":[81],"based":[82],"on":[83],"results.":[85],"Finally,":[86],"usefulness":[87],"proposed":[90],"verified":[93],"through":[94],"numerical":[96],"examples.":[97]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}