{"id":"https://openalex.org/W1966743494","doi":"https://doi.org/10.1109/fuzzy.2009.5277176","title":"Entropy regularized fuzzy C-lines for data with tolerance","display_name":"Entropy regularized fuzzy C-lines for data with tolerance","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1966743494","doi":"https://doi.org/10.1109/fuzzy.2009.5277176","mag":"1966743494"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2009.5277176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277176","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 Fuzzy Systems","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/A5033247953","display_name":"Yuchi Kanzawa","orcid":"https://orcid.org/0000-0002-4421-3513"},"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"]},{"id":"https://openalex.org/I171481255","display_name":"Shibaura Institute of Technology","ror":"https://ror.org/020wjcq07","country_code":"JP","type":"education","lineage":["https://openalex.org/I171481255"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuchi Kanzawa","raw_affiliation_strings":["Department of Communication Engineering, Faculty of Engineering, Shibaura Institute of Technology, Toyosu, Tokyo, Japan","Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Communication Engineering, Faculty of Engineering, Shibaura Institute of Technology, Toyosu, Tokyo, Japan","institution_ids":["https://openalex.org/I171481255"]},{"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, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki, 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, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033247953"],"corresponding_institution_ids":["https://openalex.org/I146399215","https://openalex.org/I171481255"],"apc_list":null,"apc_paid":null,"fwci":0.3100165,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62159046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1113","last_page":"1118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9854000210762024,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9854000210762024,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9660000205039978,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6262913942337036},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5473834872245789},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.513864278793335},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49976253509521484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4950694143772125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4399174749851227},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43546515703201294},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.4320528507232666},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42456620931625366},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.37953245639801025},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2535829544067383}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6262913942337036},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473834872245789},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.513864278793335},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49976253509521484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4950694143772125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4399174749851227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43546515703201294},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.4320528507232666},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42456620931625366},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.37953245639801025},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2535829544067383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2009.5277176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277176","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 Fuzzy Systems","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":10,"referenced_works":["https://openalex.org/W113272678","https://openalex.org/W1513271081","https://openalex.org/W1525344930","https://openalex.org/W1966743494","https://openalex.org/W1987801991","https://openalex.org/W2113076747","https://openalex.org/W2138036661","https://openalex.org/W2278532921","https://openalex.org/W4247930955","https://openalex.org/W6694777023"],"related_works":["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/W4388110928","https://openalex.org/W4312412183","https://openalex.org/W3192757256","https://openalex.org/W4292434959"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"new":[4],"clustering":[5],"algorithm,":[6],"which":[7],"is":[8,24,36,44],"based":[9,46],"on":[10,47],"entropy":[11],"regularized":[12],"fuzzy":[13],"c-lines,":[14],"can":[15],"treat":[16],"data":[17],"with":[18],"some":[19],"errors.":[20],"First,":[21],"the":[22,34,42,48,52,58],"tolerance":[23],"formulated":[25],"and":[26],"introduce":[27],"into":[28],"optimization":[29],"problem":[30,35],"of":[31,50],"clustering.":[32],"Next,":[33],"solved":[37],"using":[38],"Karush-Kuhn-Tucker":[39],"conditions.":[40],"Last,":[41],"algorithm":[43],"constructed":[45],"results":[49],"solving":[51],"problem.":[53],"Some":[54],"numerical":[55],"examples":[56],"for":[57],"proposed":[59],"method":[60],"are":[61],"shown.":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
