{"id":"https://openalex.org/W1994135496","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622386","title":"A cluster validity index for FCM-type co-clustering","display_name":"A cluster validity index for FCM-type co-clustering","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1994135496","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622386","mag":"1994135496"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2013.6622386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5042898008","display_name":"Mai Muranishi","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mai Muranishi","raw_affiliation_strings":["Osaka Prefecture University, Sakai, Osaka, Japan","Osaka Prefecture Univ., Sakai (Japan)"],"affiliations":[{"raw_affiliation_string":"Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka Prefecture Univ., Sakai (Japan)","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065073668","display_name":"Katsuhiro Honda","orcid":"https://orcid.org/0000-0001-9080-5942"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Katsuhiro Honda","raw_affiliation_strings":["Osaka Prefecture University, Sakai, Osaka, Japan","Osaka Prefecture Univ., Sakai (Japan)"],"affiliations":[{"raw_affiliation_string":"Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka Prefecture Univ., Sakai (Japan)","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068927261","display_name":"Akira Notsu","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Notsu","raw_affiliation_strings":["Osaka Prefecture University, Sakai, Osaka, Japan","Osaka Prefecture Univ., Sakai (Japan)"],"affiliations":[{"raw_affiliation_string":"Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka Prefecture Univ., Sakai (Japan)","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111906720","display_name":"Hidetomo Ichihashi","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hidetomo Ichihashi","raw_affiliation_strings":["Osaka Prefecture University, Sakai, Osaka, Japan","Osaka Prefecture Univ., Sakai (Japan)"],"affiliations":[{"raw_affiliation_string":"Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka Prefecture Univ., Sakai (Japan)","institution_ids":["https://openalex.org/I15807432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042898008"],"corresponding_institution_ids":["https://openalex.org/I15807432"],"apc_list":null,"apc_paid":null,"fwci":1.9236,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87759879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T11550","display_name":"Text and Document Classification Technologies","score":0.9855999946594238,"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/T11106","display_name":"Data Management and Algorithms","score":0.9790999889373779,"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":0.7522072792053223},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.7183281779289246},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.6244462728500366},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6161110401153564},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5688237547874451},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5354447960853577},{"id":"https://openalex.org/keywords/flame-clustering","display_name":"FLAME clustering","score":0.5089743137359619},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4991464614868164},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4969518482685089},{"id":"https://openalex.org/keywords/k-medians-clustering","display_name":"k-medians clustering","score":0.4932252764701843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.471126526594162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46856099367141724},{"id":"https://openalex.org/keywords/determining-the-number-of-clusters-in-a-data-set","display_name":"Determining the number of clusters in a data set","score":0.434109628200531},{"id":"https://openalex.org/keywords/complete-linkage-clustering","display_name":"Complete-linkage clustering","score":0.4310307502746582},{"id":"https://openalex.org/keywords/single-linkage-clustering","display_name":"Single-linkage clustering","score":0.4202791452407837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3865746259689331},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.20568546652793884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06320539116859436}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7522072792053223},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.7183281779289246},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.6244462728500366},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6161110401153564},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5688237547874451},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5354447960853577},{"id":"https://openalex.org/C44859942","wikidata":"https://www.wikidata.org/wiki/Q5426511","display_name":"FLAME clustering","level":5,"score":0.5089743137359619},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4991464614868164},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4969518482685089},{"id":"https://openalex.org/C115328559","wikidata":"https://www.wikidata.org/wiki/Q4041956","display_name":"k-medians clustering","level":5,"score":0.4932252764701843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.471126526594162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46856099367141724},{"id":"https://openalex.org/C149872217","wikidata":"https://www.wikidata.org/wiki/Q5265701","display_name":"Determining the number of clusters in a data set","level":5,"score":0.434109628200531},{"id":"https://openalex.org/C23822008","wikidata":"https://www.wikidata.org/wiki/Q5156437","display_name":"Complete-linkage clustering","level":5,"score":0.4310307502746582},{"id":"https://openalex.org/C22648726","wikidata":"https://www.wikidata.org/wiki/Q7523744","display_name":"Single-linkage clustering","level":5,"score":0.4202791452407837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3865746259689331},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.20568546652793884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06320539116859436},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2013.6622386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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":23,"referenced_works":["https://openalex.org/W10484049","https://openalex.org/W194030838","https://openalex.org/W1601795611","https://openalex.org/W1950259624","https://openalex.org/W1974364887","https://openalex.org/W1978394996","https://openalex.org/W1978527081","https://openalex.org/W1996747841","https://openalex.org/W2016312520","https://openalex.org/W2029064186","https://openalex.org/W2044183662","https://openalex.org/W2046778278","https://openalex.org/W2054232099","https://openalex.org/W2077096052","https://openalex.org/W2089588944","https://openalex.org/W2113076747","https://openalex.org/W2127218421","https://openalex.org/W2128061101","https://openalex.org/W2167898351","https://openalex.org/W2278532921","https://openalex.org/W6640723927","https://openalex.org/W6678914141","https://openalex.org/W6694777023"],"related_works":["https://openalex.org/W2229552629","https://openalex.org/W2599570117","https://openalex.org/W3087769312","https://openalex.org/W2129417512","https://openalex.org/W2125631209","https://openalex.org/W2308893070","https://openalex.org/W2532285747","https://openalex.org/W2598125667","https://openalex.org/W2041906719","https://openalex.org/W1994135496"],"abstract_inverted_index":{"Cluster":[0],"validation":[1,80],"is":[2,34,84,102,118],"an":[3],"important":[4],"issue":[5],"in":[6,81,120],"FCM-type":[7,26,78],"clustering":[8,127],"applications":[9],"and":[10,41],"many":[11],"validity":[12,28,116],"indices":[13],"have":[14],"been":[15],"proposed":[16],"for":[17,77],"selecting":[18],"the":[19,30,38,51,56,60,106,114],"optimal":[20],"fuzzy":[21,82,87],"partition.":[22],"In":[23,71],"most":[24],"of":[25,32,46,53,99,113],"cluster":[27,66,69,79,100,109],"indices,":[29],"number":[31],"clusters":[33,92],"evaluated":[35,49],"by":[36,50,65],"considering":[37],"partition":[39],"quality":[40,45,62],"geometrical":[42,61],"features.":[43],"The":[44,111],"memberships":[47],"was":[48,63],"degree":[52],"overlapping":[54],"or":[55,68],"boundary":[57],"uncertainty,":[58],"while":[59],"measured":[64],"compactness":[67],"separation.":[70],"this":[72],"paper,":[73],"a":[74,96,125],"new":[75,97,115],"approach":[76],"co-clustering":[83,88],"proposed.":[85],"Because":[86],"extracts":[89],"object-item":[90],"dual":[91],"without":[93,104],"using":[94,105],"prototypes,":[95],"concept":[98],"separation":[101],"constructed":[103],"distances":[107],"between":[108],"prototypes.":[110],"applicability":[112],"index":[117],"demonstrated":[119],"several":[121],"numerical":[122],"experiments":[123],"including":[124],"document":[126],"application.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
