{"id":"https://openalex.org/W2748470929","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015651","title":"A new efficient fuzzy cluster validity index: Application to images clustering","display_name":"A new efficient fuzzy cluster validity index: Application to images clustering","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2748470929","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015651","mag":"2748470929"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2017.8015651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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/A5023232109","display_name":"Fatma Haouas","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210127572","display_name":"IMT Atlantique","ror":"https://ror.org/030hj3061","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127572"]}],"countries":["FR","TN"],"is_corresponding":true,"raw_author_name":"Fatma Haouas","raw_affiliation_strings":["Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie","IMT Atlantique Bretagne-Pays de la Loire, Technop\u00f4le Brest-Iroise CS 83818, Brest Cedex 3, France"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie","institution_ids":["https://openalex.org/I108714496"]},{"raw_affiliation_string":"IMT Atlantique Bretagne-Pays de la Loire, Technop\u00f4le Brest-Iroise CS 83818, Brest Cedex 3, France","institution_ids":["https://openalex.org/I4210127572"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020899207","display_name":"Zouhour Ben Dhiaf","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Zouhour Ben Dhiaf","raw_affiliation_strings":["Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103931979","display_name":"Atef Hammouda","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Atef Hammouda","raw_affiliation_strings":["Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences de Tunis, Laboratory: LIPAH, Tunis, Tunisie","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033753600","display_name":"Basel Solaiman","orcid":"https://orcid.org/0000-0002-5977-230X"},"institutions":[{"id":"https://openalex.org/I4210127572","display_name":"IMT Atlantique","ror":"https://ror.org/030hj3061","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127572"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Basel Solaiman","raw_affiliation_strings":["IMT Atlantique Bretagne-Pays de la Loire, Technop\u00f4le Brest-Iroise CS 83818, Brest Cedex 3, France"],"affiliations":[{"raw_affiliation_string":"IMT Atlantique Bretagne-Pays de la Loire, Technop\u00f4le Brest-Iroise CS 83818, Brest Cedex 3, France","institution_ids":["https://openalex.org/I4210127572"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023232109"],"corresponding_institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210127572"],"apc_list":null,"apc_paid":null,"fwci":1.5602,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.873759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"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":0.9995999932289124,"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":0.9995999932289124,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7631284594535828},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.7253813743591309},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6610814929008484},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5808866024017334},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5692017078399658},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.5624551177024841},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5369287729263306},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.47821637988090515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4667395055294037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46626314520835876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3669527769088745},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33752334117889404},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33250892162323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2884741425514221}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7631284594535828},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.7253813743591309},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6610814929008484},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5808866024017334},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5692017078399658},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5624551177024841},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5369287729263306},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.47821637988090515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4667395055294037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46626314520835876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3669527769088745},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33752334117889404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33250892162323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2884741425514221},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"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.2017.8015651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.47999998927116394,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1958737698","https://openalex.org/W1974807642","https://openalex.org/W1980910046","https://openalex.org/W1989239993","https://openalex.org/W1990368529","https://openalex.org/W1996747841","https://openalex.org/W2041362950","https://openalex.org/W2051224630","https://openalex.org/W2054232099","https://openalex.org/W2062959223","https://openalex.org/W2073804499","https://openalex.org/W2077061001","https://openalex.org/W2112926503","https://openalex.org/W2113076747","https://openalex.org/W2113586398","https://openalex.org/W2118589119","https://openalex.org/W2146177913","https://openalex.org/W2256402231","https://openalex.org/W2291337432","https://openalex.org/W2344427668","https://openalex.org/W2912565176","https://openalex.org/W3083424454","https://openalex.org/W4211007335","https://openalex.org/W6640970184","https://openalex.org/W6692311997"],"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/W2000612978","https://openalex.org/W4388110928","https://openalex.org/W1483228865","https://openalex.org/W4312412183"],"abstract_inverted_index":{"Finding":[0],"the":[1,7,40,56,64,67,77,86,90,98,106,109,116,121,143,146,153,157,168,176,190,201,213],"appropriate":[2],"number":[3,42,134,159,202],"of":[4,9,43,66,79,92,100,123,135,145,156,160,175,203,209],"clusters":[5,44,136,204],"in":[6,18,46],"absence":[8],"prior":[10],"information":[11],"is":[12,53,76,205],"a":[13,28,47,80,129],"hard":[14],"and":[15,20,70,89,127,170,179,212],"sensitive":[16],"problem":[17],"clustering":[19,188],"data":[21,101],"analysis.":[22],"In":[23,149],"this":[24],"paper,":[25],"we":[26,162],"present":[27,45],"new":[29],"cluster":[30,103],"validity":[31],"index":[32,52,178],"(CVI)":[33],"called":[34],"H":[35],"F":[36],"able":[37],"to":[38,142,151,198],"find":[39],"optimal":[41,133,158],"given":[48],"data.":[49],"The":[50,132,173,194],"HF":[51,147,169,195],"based":[54,166],"on":[55,85,108,167,186],"membership":[57],"partition.":[58],"It":[59],"can":[60],"be":[61],"seen":[62],"as":[63],"generalisation":[65],"Wu-and-Li":[68],"(WL)":[69],"Tang":[71],"(T)":[72],"indices.":[73,172],"Its":[74],"particularity":[75],"integration":[78],"generalised":[81],"ad-hoc":[82],"punishing":[83],"term,":[84],"one":[87],"hand,":[88],"involving":[91],"median":[93],"between":[94],"centroids":[95],"multiplied":[96],"by":[97],"average":[99],"per":[102],"for":[104],"computing":[105],"separation,":[107],"other":[110],"hand.":[111],"These":[112],"contributions":[113],"allow":[114],"avoiding":[115],"monotony":[117],"from":[118],"which":[119],"suffer":[120],"majority":[122],"CV":[124],"I":[125],"s":[126],"obtaining":[128],"precise":[130],"evaluation.":[131],"C":[137],"<inf":[138],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[139],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">op</inf>":[140],"corresponds":[141],"minimum":[144],"index.":[148],"order":[150],"ensure":[152],"effective":[154],"choice":[155],"clusters,":[161],"propose":[163],"an":[164],"algorithm":[165,180,191],"WL":[171],"performance":[174],"proposed":[177],"are":[181],"demonstrated":[182],"through":[183],"different":[184,218],"experimentations":[185],"images":[187],"using":[189],"Fuzzy-C-Means":[192],"(FCM).":[193],"index's":[196],"ability":[197],"appropriately":[199],"determine":[200],"compared":[206],"with":[207,217],"those":[208],"WL,":[210],"T":[211],"Xi-Beni":[214],"(XB)":[215],"indices":[216],"initialisations.":[219]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
