{"id":"https://openalex.org/W2111594510","doi":"https://doi.org/10.1109/fuzzy.2007.4295474","title":"Blockwise similarity in [0,1] via triangular norms and Sugeno integrals - Application to cluster validity","display_name":"Blockwise similarity in [0,1] via triangular norms and Sugeno integrals - Application to cluster validity","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2111594510","doi":"https://doi.org/10.1109/fuzzy.2007.4295474","mag":"2111594510"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2007.4295474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2007.4295474","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"Proceedings of ... IEEE International Conference on Fuzzy Systems","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Fuzzy Systems Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00267631","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055948046","display_name":"Ho\u00ebl Le Capitaine","orcid":"https://orcid.org/0000-0002-7399-0012"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hoel Le Capitaine","raw_affiliation_strings":["Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Hoel.LeCapitaine@univ-lr.fr"],"affiliations":[{"raw_affiliation_string":"Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","institution_ids":["https://openalex.org/I78744979"]},{"raw_affiliation_string":"Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Hoel.LeCapitaine@univ-lr.fr","institution_ids":["https://openalex.org/I78744979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001000212","display_name":"Thomas Batard","orcid":"https://orcid.org/0000-0001-9335-0314"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Batard","raw_affiliation_strings":["Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Thomas.Batard@univ-lr.fr"],"affiliations":[{"raw_affiliation_string":"Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","institution_ids":["https://openalex.org/I78744979"]},{"raw_affiliation_string":"Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Thomas.Batard@univ-lr.fr","institution_ids":["https://openalex.org/I78744979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027894948","display_name":"Carl Fr\u00e9licot","orcid":null},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Carl Frelicot","raw_affiliation_strings":["Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Carl.Frelicot@univ-lr.fr"],"affiliations":[{"raw_affiliation_string":"Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","institution_ids":["https://openalex.org/I78744979"]},{"raw_affiliation_string":"Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Carl.Frelicot@univ-lr.fr","institution_ids":["https://openalex.org/I78744979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043771061","display_name":"Michel Berthier","orcid":"https://orcid.org/0000-0002-3298-4011"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Berthier","raw_affiliation_strings":["Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Michel.Berthier@univ-lr.fr"],"affiliations":[{"raw_affiliation_string":"Mathematics, Image and Applications (MIA), Universite de La Rochelle, La Rochelle Cedex 1, FRANCE","institution_ids":["https://openalex.org/I78744979"]},{"raw_affiliation_string":"Mathematics, Image and Applications (MIA) - Universit\u00e9 de La Rochelle Avenue M. Cr\u00e9peau, 17042 La Rochelle Cedex 1, FRANCE, email: Michel.Berthier@univ-lr.fr","institution_ids":["https://openalex.org/I78744979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055948046"],"corresponding_institution_ids":["https://openalex.org/I78744979"],"apc_list":null,"apc_paid":null,"fwci":0.5173,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57937807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9962000250816345,"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"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9957000017166138,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.7371653318405151},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6418394446372986},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6338616609573364},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4832659363746643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47903838753700256},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47045767307281494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45178139209747314},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.44462671875953674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.366177499294281},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36042067408561707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34597140550613403},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33960986137390137},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33138108253479004},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2480388581752777}],"concepts":[{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.7371653318405151},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6418394446372986},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6338616609573364},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4832659363746643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47903838753700256},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47045767307281494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45178139209747314},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.44462671875953674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.366177499294281},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36042067408561707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34597140550613403},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33960986137390137},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33138108253479004},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2480388581752777},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/fuzzy.2007.4295474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2007.4295474","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"Proceedings of ... IEEE International Conference on Fuzzy Systems","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Fuzzy Systems Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.4552","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.4552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.univ-lr.fr/tbatard/fuzzieee07cr.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00267631v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00267631","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2007., Jul 2007, Londres, United Kingdom. pp.835-840","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-00293811v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00293811","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00267631v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00267631","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2007., Jul 2007, Londres, United Kingdom. pp.835-840","raw_type":"Conference papers"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W567518060","https://openalex.org/W1513222348","https://openalex.org/W1987801991","https://openalex.org/W1996747841","https://openalex.org/W2003078486","https://openalex.org/W2025767687","https://openalex.org/W2046778278","https://openalex.org/W2053156804","https://openalex.org/W2053677366","https://openalex.org/W2084812512","https://openalex.org/W2113076747","https://openalex.org/W2137686028","https://openalex.org/W2171975443","https://openalex.org/W4299096522","https://openalex.org/W6616055767","https://openalex.org/W6630585537","https://openalex.org/W6671611538"],"related_works":["https://openalex.org/W2375480909","https://openalex.org/W2353314428","https://openalex.org/W2012019886","https://openalex.org/W2936184523","https://openalex.org/W2166090428","https://openalex.org/W2381021552","https://openalex.org/W2354749003","https://openalex.org/W2377121353","https://openalex.org/W2350529538","https://openalex.org/W4386926693"],"abstract_inverted_index":{"In":[0,21],"many":[1],"fields,":[2],"e.g.":[3],"decision-making,":[4],"numerical":[5],"values":[6,35,51],"in":[7,16,89],"[0,1]":[8],"are":[9,19],"available":[10],"and":[11,52,59],"one":[12],"is":[13,29],"often":[14],"interested":[15],"detecting":[17],"which":[18,28],"similar.":[20],"this":[22,67],"paper,":[23],"we":[24,76],"propose":[25],"an":[26,81],"operator":[27,63],"able":[30],"to":[31,43,65,79],"detect":[32],"whether":[33],"some":[34],"can":[36],"be":[37],"gathered":[38],"by":[39],"blocks":[40],"with":[41],"respect":[42],"their":[44],"similarity":[45,69],"or":[46],"not.":[47],"It":[48],"combines":[49],"the":[50,85],"a":[53],"kernel":[54],"function":[55],"using":[56],"triangular":[57],"norms":[58],"Sugeno":[60],"integrals.":[61],"This":[62],"allows":[64],"estimate":[66],"blockwise":[68],"at":[70],"different":[71],"levels.":[72],"For":[73],"illustration":[74],"purpose,":[75],"use":[77],"it":[78],"define":[80],"index":[82],"suitable":[83],"for":[84],"cluster":[86],"validity":[87],"problem":[88],"pattern":[90],"recognition.":[91]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}