{"id":"https://openalex.org/W2139691084","doi":"https://doi.org/10.1109/tfuzz.2010.2043440","title":"Applying the Possibilistic c-Means Algorithm in Kernel-Induced Spaces","display_name":"Applying the Possibilistic c-Means Algorithm in Kernel-Induced Spaces","publication_year":2010,"publication_date":"2010-02-17","ids":{"openalex":"https://openalex.org/W2139691084","doi":"https://doi.org/10.1109/tfuzz.2010.2043440","mag":"2139691084"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2010.2043440","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2043440","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-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/A5021162375","display_name":"Maurizio Filippone","orcid":"https://orcid.org/0000-0001-7294-472X"},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Maurizio Filippone","raw_affiliation_strings":["Department of Computing Science, University of Glasgow, Glasgow, UK","[Department of Computer Science, University of Glasgow, Glasgow, UK]"],"affiliations":[{"raw_affiliation_string":"Department of Computing Science, University of Glasgow, Glasgow, UK","institution_ids":["https://openalex.org/I7882870"]},{"raw_affiliation_string":"[Department of Computer Science, University of Glasgow, Glasgow, UK]","institution_ids":["https://openalex.org/I7882870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078310289","display_name":"Francesco Masulli","orcid":"https://orcid.org/0000-0002-6612-0932"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Masulli","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Genova, Genoa, Italy","Department of Computer and Information Science, University of Genova, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Genova, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"Department of Computer and Information Science, University of Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042789365","display_name":"Stefano Rovetta","orcid":"https://orcid.org/0000-0003-3865-2613"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Rovetta","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Genova, Genoa, Italy","Department of Computer and Information Science, University of Genova, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Genova, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"Department of Computer and Information Science, University of Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021162375"],"corresponding_institution_ids":["https://openalex.org/I7882870"],"apc_list":null,"apc_paid":null,"fwci":2.2627,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.89549369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"3","first_page":"572","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9980999827384949,"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":0.9980999827384949,"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/T10320","display_name":"Neural Networks and Applications","score":0.9944999814033508,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7842580080032349},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6658053398132324},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6558263301849365},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6252289414405823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5239139795303345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4687398076057434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46498745679855347},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.44556817412376404},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4389878809452057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41282370686531067},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.4119148254394531},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3594438433647156},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2183750867843628},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10170188546180725}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7842580080032349},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6658053398132324},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6558263301849365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6252289414405823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5239139795303345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4687398076057434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46498745679855347},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.44556817412376404},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4389878809452057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41282370686531067},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.4119148254394531},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3594438433647156},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2183750867843628},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10170188546180725},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":4,"locations":[{"id":"doi:10.1109/tfuzz.2010.2043440","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2043440","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:56332","is_oa":false,"landing_page_url":"http://eprints.gla.ac.uk/view/author/9940.html>,","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.187.3375","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.3375","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.disi.unige.it/person/MasulliF/papers/masulli-ieee-tfs10.pdf","raw_type":"text"},{"id":"pmh:oai:iris.unige.it:11567/277266","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/277266","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1526146785","https://openalex.org/W1560724230","https://openalex.org/W1592771928","https://openalex.org/W1943383135","https://openalex.org/W1969557815","https://openalex.org/W1986280275","https://openalex.org/W1987098293","https://openalex.org/W2001619934","https://openalex.org/W2054804336","https://openalex.org/W2058440261","https://openalex.org/W2088032561","https://openalex.org/W2100294832","https://openalex.org/W2113076747","https://openalex.org/W2115741375","https://openalex.org/W2116219421","https://openalex.org/W2120688485","https://openalex.org/W2125836384","https://openalex.org/W2129905273","https://openalex.org/W2132870739","https://openalex.org/W2155074104","https://openalex.org/W2157015572","https://openalex.org/W2168633009","https://openalex.org/W3017143921","https://openalex.org/W3112073073","https://openalex.org/W3120740533","https://openalex.org/W3144619878","https://openalex.org/W4233014035","https://openalex.org/W6631556622","https://openalex.org/W6677129302","https://openalex.org/W6787699512"],"related_works":["https://openalex.org/W2089892314","https://openalex.org/W4386075310","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W1603091392","https://openalex.org/W2121506664","https://openalex.org/W4322737621","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W2150638158"],"abstract_inverted_index":{"In":[0,16,36,126],"this":[1,37],"paper,":[2],"we":[3,20,40,61,130],"study":[4,53],"a":[5,26,67,87],"kernel":[6,108],"extension":[7],"of":[8,32,47,89,123,137,157],"the":[9,17,42,48,57,63,93,100,114,127,132,135,138],"classic":[10],"possibilistic":[11,49],"<i":[12],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</i>":[14],"-means.":[15],"proposed":[18,115,139],"extension,":[19],"implicitly":[21],"map":[22],"input":[23,94],"patterns":[24],"into":[25],"possibly":[27],"high-dimensional":[28],"space":[29],"by":[30,45],"means":[31,46],"positive":[33],"semidefinite":[34],"kernels.":[35],"new":[38],"space,":[39],"model":[41,62],"mapped":[43,64],"data":[44,65],"clustering":[50],"algorithm.":[51],"We":[52,96],"in":[54,83,92,98,120,155],"more":[55],"detail":[56,99],"special":[58],"case":[59],"where":[60],"using":[66],"single":[68],"cluster":[69],"only,":[70],"since":[71],"it":[72],"turns":[73],"out":[74],"to":[75,102],"have":[76],"many":[77,121],"interesting":[78],"properties.":[79],"The":[80,147],"modeled":[81],"memberships":[82],"kernel-induced":[84],"spaces":[85],"yield":[86],"modeling":[88],"generic":[90],"shapes":[91],"space.":[95],"analyze":[97,131],"connections":[101],"one-class":[103],"support":[104],"vector":[105],"machines":[106],"and":[107,134,144,152],"density":[109],"estimation,":[110],"thus,":[111],"suggesting":[112],"that":[113],"algorithm":[116,140],"can":[117],"be":[118],"used":[119],"scenarios":[122],"unsupervised":[124],"learning.":[125],"experimental":[128],"part,":[129],"stability":[133,151],"accuracy":[136],"on":[141],"some":[142],"synthetic":[143],"real":[145],"datasets.":[146],"results":[148],"show":[149],"high":[150],"good":[153],"performances":[154],"terms":[156],"accuracy.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
