{"id":"https://openalex.org/W2906135914","doi":"https://doi.org/10.1109/tfuzz.2018.2889020","title":"Constructing a Virtual Space for Enhancing the Classification Performance of Fuzzy Clustering","display_name":"Constructing a Virtual Space for Enhancing the Classification Performance of Fuzzy Clustering","publication_year":2018,"publication_date":"2018-12-20","ids":{"openalex":"https://openalex.org/W2906135914","doi":"https://doi.org/10.1109/tfuzz.2018.2889020","mag":"2906135914"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2018.2889020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2889020","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/A5026069411","display_name":"Kaijie Xu","orcid":"https://orcid.org/0000-0003-4408-9070"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaijie Xu","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-4408-9070","affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Witold Pedrycz","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-9335-9930","affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045305170","display_name":"Zhiwu Li","orcid":"https://orcid.org/0000-0003-1547-5503"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwu Li","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-1547-5503","affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028239186","display_name":"Weike Nie","orcid":"https://orcid.org/0000-0003-2092-3083"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weike Nie","raw_affiliation_strings":["School of Information Science and Technology, Northwest University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Northwest University, Xi'an, China","institution_ids":["https://openalex.org/I37802460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4397,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.94128268,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"27","issue":"9","first_page":"1779","last_page":"1792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9980000257492065,"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":0.9980000257492065,"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/T10057","display_name":"Face and Expression Recognition","score":0.9919999837875366,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9828000068664551,"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":0.7338711023330688},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.7308777570724487},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.6406173706054688},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5782344341278076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48303350806236267},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.44860342144966125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4465498626232147},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4337950050830841},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.43362027406692505},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4277174472808838},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.41262954473495483},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3391382098197937},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09135130047798157}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7338711023330688},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.7308777570724487},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.6406173706054688},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5782344341278076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48303350806236267},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.44860342144966125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4465498626232147},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4337950050830841},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.43362027406692505},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4277174472808838},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.41262954473495483},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3391382098197937},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09135130047798157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2018.2889020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2889020","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2746640516","display_name":null,"funder_award_id":"201706960024","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G5433475655","display_name":null,"funder_award_id":"61672400","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W65020826","https://openalex.org/W342041252","https://openalex.org/W1515497280","https://openalex.org/W1555048271","https://openalex.org/W1587362683","https://openalex.org/W1985702987","https://openalex.org/W1995211832","https://openalex.org/W1998709264","https://openalex.org/W1998927897","https://openalex.org/W2006255103","https://openalex.org/W2009543464","https://openalex.org/W2051854724","https://openalex.org/W2051856481","https://openalex.org/W2058063871","https://openalex.org/W2088556937","https://openalex.org/W2098725265","https://openalex.org/W2108995755","https://openalex.org/W2113076747","https://openalex.org/W2144802418","https://openalex.org/W2157383128","https://openalex.org/W2165466912","https://openalex.org/W2256693932","https://openalex.org/W2338134760","https://openalex.org/W2344158430","https://openalex.org/W2344533582","https://openalex.org/W2356195073","https://openalex.org/W2461653276","https://openalex.org/W2477929851","https://openalex.org/W2481066337","https://openalex.org/W2532742418","https://openalex.org/W2545601811","https://openalex.org/W2565983479","https://openalex.org/W2580382314","https://openalex.org/W2735968258","https://openalex.org/W2737636713","https://openalex.org/W2765271019","https://openalex.org/W2771143570","https://openalex.org/W2795774084","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4231671642","https://openalex.org/W4235169531","https://openalex.org/W4300127662","https://openalex.org/W6602566643","https://openalex.org/W6630999495","https://openalex.org/W6682851837"],"related_works":["https://openalex.org/W1589415932","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"],"abstract_inverted_index":{"Clustering":[0],"offers":[1],"a":[2,8,35,49,63,75,87,130,171,216,242,264],"general":[3],"methodology":[4],"and":[5,12,18,101,136,223,228,257,299],"comes":[6],"with":[7,165,278,292],"remarkably":[9],"rich":[10],"conceptual":[11,281],"algorithmic":[13],"framework":[14],"for":[15],"data":[16,19,82,100,164,248],"analysis":[17,266],"interpretation.":[20],"As":[21],"one":[22,203],"of":[23,28,65,97,114,133,184,236,245],"the":[24,58,80,94,98,103,110,112,134,144,177,185,189,193,196,220,224,234,238,246,253,258,268,279,284,293,297,300],"most":[25],"representative":[26],"algorithms":[27],"fuzzy":[29,31,51,67,302],"clustering,":[30],"C-means":[32],"(FCM)":[33],"is":[34,54,71,129,250,288],"widely":[36],"used":[37],"objective":[38],"function-based":[39],"clustering":[40,52,270],"method":[41],"exploited":[42],"in":[43,118,139,143,176,192,276],"various":[44],"applications.":[45],"In":[46,162],"this":[47,140],"study,":[48],"virtual-based":[50],"algorithm":[53],"proposed":[55],"to":[56,92,210,233],"improve":[57],"classification":[59,286],"performance":[60,287],"coming":[61],"as":[62,202],"result":[64],"using":[66],"clustering.":[68],"This":[69,205],"improvement":[70],"achieved":[72],"by":[73,296],"forming":[74],"virtual":[76,105,194,243],"space":[77,179,244,249],"based":[78],"on":[79],"original":[81,99,145,178,221,247],"space.":[83],"First,":[84],"we":[85,214],"construct":[86],"piecewise":[88],"linear":[89],"transformation":[90],"function":[91],"modify":[93],"similarity":[95,106,122,138,146,153,167,226,255],"matrix":[96,107,147,218,256],"build":[102,215],"so-called":[104],"(VSM).":[108],"Considering":[109],"VSM,":[111],"effect":[113],"closeness":[115],"becomes":[116],"amplified;":[117],"other":[119],"words,":[120],"high":[121,166],"values":[123,227],"(say,":[124,155,168],"larger":[125,169],"than":[126,157,170],"\u03b1":[127],"which":[128],"cutoff":[131],"value":[132],"large":[135],"small":[137],"paper)":[141],"present":[142,229],"are":[148,159,187,275],"made":[149],"higher,":[150],"whereas":[151],"lower":[152],"levels":[154],"smaller":[156],"\u03b1)":[158],"further":[160],"reduced.":[161],"addition,":[163],"certain":[172],"threshold":[173],"value)":[174],"observed":[175],"will":[180],"overlap":[181],"(the":[182],"attributes":[183],"samples":[186,198],"exactly":[188],"same)":[190],"significantly":[191,289],"space;":[195],"overlapping":[197],"can":[199],"be":[200],"treated":[201],"sample.":[204],"modification":[206],"makes":[207],"possible":[208],"easier":[209],"identify":[211],"clusters.":[212],"Second,":[213],"relationship":[217,239,260],"between":[219],"dataset":[222],"determined":[225],"two":[230],"closed-form":[231],"solutions":[232],"problem":[235],"building":[237],"matrix.":[240,261],"Subsequently,":[241],"derived":[251],"through":[252],"modified":[254],"introduced":[259],"We":[262],"offer":[263],"thorough":[265],"behind":[267],"developed":[269],"algorithm.":[271],"The":[272],"experimental":[273],"results":[274,294],"agreement":[277],"underlying":[280],"basis.":[282],"Furthermore,":[283],"resulting":[285],"improved":[290],"compared":[291],"produced":[295],"FCM":[298],"kernel-based":[301],"C-means.":[303]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
