{"id":"https://openalex.org/W2179802600","doi":"https://doi.org/10.1109/fuzz-ieee.2015.7337963","title":"Fuzzy non-metric model for data with tolerance and its application to incomplete data clustering","display_name":"Fuzzy non-metric model for data with tolerance and its application to incomplete data clustering","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2179802600","doi":"https://doi.org/10.1109/fuzz-ieee.2015.7337963","mag":"2179802600"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2015.7337963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2015.7337963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/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":true,"raw_author_name":"Yasunori Endo","raw_affiliation_strings":["Tsukuba Daigaku, Tsukuba, Ibaraki, JP"],"affiliations":[{"raw_affiliation_string":"Tsukuba Daigaku, Tsukuba, Ibaraki, JP","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053556171","display_name":"Tomoyuki Suzuki","orcid":"https://orcid.org/0000-0003-4273-2325"},"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":"Tomoyuki Suzuki","raw_affiliation_strings":["Department of Risk Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086432357","display_name":"Naohiko Kinoshita","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":"Naohiko Kinoshita","raw_affiliation_strings":["Department of Risk Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060898444","display_name":"Yukihiro Hamasuna","orcid":null},"institutions":[{"id":"https://openalex.org/I916559398","display_name":"Kindai University","ror":"https://ror.org/05kt9ap64","country_code":"JP","type":"education","lineage":["https://openalex.org/I916559398"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yukihiro Hamasuna","raw_affiliation_strings":["Department of Informatics, Kinki University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Kinki University, Osaka, Japan","institution_ids":["https://openalex.org/I916559398"]}]},{"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":["Faculty of Engineering, Information and Systems University of Tsukuba, Tsukuba, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Information and Systems University of Tsukuba, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101943648"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0578158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9970999956130981,"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":0.9970999956130981,"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":0.9804999828338623,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9702000021934509,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uncertain-data","display_name":"Uncertain data","score":0.7028613686561584},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6920130252838135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6547918915748596},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.6288584470748901},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.5693574547767639},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4851592183113098},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4686761498451233},{"id":"https://openalex.org/keywords/hierarchical-clustering","display_name":"Hierarchical clustering","score":0.43058550357818604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.320340633392334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.270561158657074}],"concepts":[{"id":"https://openalex.org/C2778865114","wikidata":"https://www.wikidata.org/wiki/Q7882489","display_name":"Uncertain data","level":2,"score":0.7028613686561584},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6920130252838135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6547918915748596},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.6288584470748901},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.5693574547767639},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4851592183113098},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4686761498451233},{"id":"https://openalex.org/C92835128","wikidata":"https://www.wikidata.org/wiki/Q1277447","display_name":"Hierarchical clustering","level":3,"score":0.43058550357818604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.320340633392334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.270561158657074},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2015.7337963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2015.7337963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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":11,"referenced_works":["https://openalex.org/W1513271081","https://openalex.org/W1584532972","https://openalex.org/W1847724720","https://openalex.org/W1998266257","https://openalex.org/W2029389322","https://openalex.org/W2031459800","https://openalex.org/W2113076747","https://openalex.org/W2138036661","https://openalex.org/W2405607207","https://openalex.org/W4235169531","https://openalex.org/W4247640718"],"related_works":["https://openalex.org/W3200375535","https://openalex.org/W2945382830","https://openalex.org/W4224807364","https://openalex.org/W2596632494","https://openalex.org/W2535986621","https://openalex.org/W1980197432","https://openalex.org/W2382432689","https://openalex.org/W2000612978","https://openalex.org/W4388110928","https://openalex.org/W1483228865"],"abstract_inverted_index":{"Clustering":[0],"is":[1,15,20,26,34,49],"a":[2,27],"technique":[3],"of":[4,30,43,87,107,131,162],"unsupervised":[5],"classification.":[6],"The":[7,93],"methods":[8,95],"are":[9,59],"classified":[10],"into":[11],"two":[12],"types,":[13],"one":[14],"hierarchical":[16],"and":[17,56],"the":[18,40,97,101,105,129,149,160,163],"other":[19],"non-hierarchical.":[21],"Fuzzy":[22],"non-metric":[23,137],"model":[24,138],"(FNM)":[25],"representative":[28],"method":[29],"non-hierarchical":[31],"clustering.":[32],"FNM":[33,63],"very":[35],"useful":[36],"because":[37],"belongingness":[38],"or":[39,75],"membership":[41],"degree":[42],"each":[44,47],"datum":[45],"to":[46,82,127,133],"cluster":[48,57],"calculated":[50],"directly":[51],"from":[52],"dissimilarities":[53],"between":[54],"data,":[55,71,74,85],"centers":[58],"not":[60],"used.":[61],"However":[62],"cannot":[64],"handle":[65,83,100,152],"data":[66,76,103,113,140,154,173],"with":[67,114,141,168],"uncertainty,":[68],"called":[69,135],"uncertain":[70,102],"e.g.":[72,109],"incomplete":[73,153,172],"which":[77],"have":[78],"errors.":[79],"In":[80,117],"order":[81],"such":[84],"concept":[86,98,130],"tolerance":[88,115,132,142],"vector":[89],"has":[90],"been":[91],"proposed.":[92],"clustering":[94,125],"using":[96],"can":[99],"in":[104,166],"framework":[106],"optimization,":[108],"fuzzy":[110,136],"c-means":[111],"for":[112,139,171],"(FCM-T).":[116],"this":[118],"paper,":[119],"we":[120,145,157],"will":[121,146,158],"first":[122],"propose":[123],"new":[124],"algorithm":[126,151,165],"apply":[128],"FNM,":[134],"(FNM-T).":[143],"Second,":[144],"show":[147],"that":[148],"proposed":[150,164],"sets.":[155],"Third,":[156],"verify":[159],"effectiveness":[161],"comparison":[167],"conventional":[169],"ones":[170],"sets":[174],"through":[175],"some":[176],"numerical":[177],"examples.":[178]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
