{"id":"https://openalex.org/W3216596298","doi":"https://doi.org/10.1109/tfuzz.2021.3129848","title":"Semisupervised Fuzzy Clustering With Fuzzy Pairwise Constraints","display_name":"Semisupervised Fuzzy Clustering With Fuzzy Pairwise Constraints","publication_year":2021,"publication_date":"2021-11-23","ids":{"openalex":"https://openalex.org/W3216596298","doi":"https://doi.org/10.1109/tfuzz.2021.3129848","mag":"3216596298"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2021.3129848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3129848","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/A5085026046","display_name":"Zhen Wang","orcid":"https://orcid.org/0000-0002-3282-8588"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0002-3282-8588","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100406237","display_name":"Shanshan Wang","orcid":"https://orcid.org/0000-0002-0575-6523"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan-Shan Wang","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103111630","display_name":"Lan Bai","orcid":"https://orcid.org/0000-0003-2665-9340"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lan Bai","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0003-2665-9340","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045292091","display_name":"Wensi Wang","orcid":"https://orcid.org/0000-0003-3121-6464"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-Si Wang","raw_affiliation_strings":["Engineering Research Center of Intelligent Perception and Autonomous Control (Ministry of Education), Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3121-6464","affiliations":[{"raw_affiliation_string":"Engineering Research Center of Intelligent Perception and Autonomous Control (Ministry of Education), Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051850582","display_name":"Yuan\u2010Hai Shao","orcid":"https://orcid.org/0000-0002-1628-6133"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan-Hai Shao","raw_affiliation_strings":["School of Management, Hainan University, Haikou, China"],"raw_orcid":"https://orcid.org/0000-0002-1628-6133","affiliations":[{"raw_affiliation_string":"School of Management, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6959,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.86622723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"30","issue":"9","first_page":"3797","last_page":"3811"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9926000237464905,"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":0.9926000237464905,"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":0.9868000149726868,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9599999785423279,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6596156358718872},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5708916783332825},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5227344632148743},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5211391448974609},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5073644518852234},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.50077223777771},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5005490779876709},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45086604356765747},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4293373227119446},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.41780030727386475},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4136069118976593},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.349478542804718},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.337308406829834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24911028146743774},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0650109350681305}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6596156358718872},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5708916783332825},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5227344632148743},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5211391448974609},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5073644518852234},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.50077223777771},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5005490779876709},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45086604356765747},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4293373227119446},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.41780030727386475},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4136069118976593},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.349478542804718},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.337308406829834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24911028146743774},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0650109350681305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2021.3129848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3129848","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/G2425456055","display_name":"\u5927\u89c4\u6a21\u6570\u636e\u6316\u6398\u4e2d\u5d4c\u5165\u5f0f\u6570\u636e\u5f52\u7ea6\u7684\u7a00\u758f\u6a21\u578b\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61866010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3980372984","display_name":"\u566a\u58f0\u6570\u636e\u7684\u975e\u51f8\u635f\u5931\u51fd\u6570\u652f\u6301\u5411\u91cf\u673a\u6700\u4f18\u5316\u6a21\u578b\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11871183","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6125475352","display_name":"\u635f\u5931\u5ea6\u91cf\u610f\u4e49\u4e0b\u7684\u7ea6\u675f\u805a\u7c7b\u4f18\u5316\u6a21\u578b\u53ca\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61966024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7435809290","display_name":null,"funder_award_id":"62106112","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W47688391","https://openalex.org/W174812315","https://openalex.org/W1560724230","https://openalex.org/W1575132216","https://openalex.org/W1601705331","https://openalex.org/W1984818365","https://openalex.org/W1985690171","https://openalex.org/W1995450389","https://openalex.org/W1999365490","https://openalex.org/W2000156923","https://openalex.org/W2022832071","https://openalex.org/W2023038358","https://openalex.org/W2028750115","https://openalex.org/W2030068474","https://openalex.org/W2037311332","https://openalex.org/W2064741519","https://openalex.org/W2080511794","https://openalex.org/W2081549451","https://openalex.org/W2081758251","https://openalex.org/W2084567445","https://openalex.org/W2098029000","https://openalex.org/W2106115875","https://openalex.org/W2118587067","https://openalex.org/W2133688491","https://openalex.org/W2140207040","https://openalex.org/W2141298131","https://openalex.org/W2142690901","https://openalex.org/W2144447551","https://openalex.org/W2156483112","https://openalex.org/W2164944403","https://openalex.org/W2166610567","https://openalex.org/W2170432751","https://openalex.org/W2171855237","https://openalex.org/W2407618200","https://openalex.org/W2472125875","https://openalex.org/W2499790321","https://openalex.org/W2531001034","https://openalex.org/W2535481428","https://openalex.org/W2604413995","https://openalex.org/W2604433096","https://openalex.org/W2762271916","https://openalex.org/W2765484974","https://openalex.org/W2766176203","https://openalex.org/W2784950682","https://openalex.org/W2790139232","https://openalex.org/W2883586042","https://openalex.org/W2906481269","https://openalex.org/W2909506380","https://openalex.org/W2913289505","https://openalex.org/W2914436796","https://openalex.org/W2921016306","https://openalex.org/W2954544431","https://openalex.org/W3005808018","https://openalex.org/W3036123607","https://openalex.org/W3152330821","https://openalex.org/W4210880854","https://openalex.org/W4235169531","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2331106272","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1542808721","https://openalex.org/W2253053392","https://openalex.org/W173448675","https://openalex.org/W4361984403","https://openalex.org/W4388451300"],"abstract_inverted_index":{"In":[0],"semisupervised":[1,66],"fuzzy":[2,16,20,37,60,67,70],"clustering,":[3],"this":[4],"article":[5],"extends":[6],"the":[7,28,35,52,59,116,130,139,156],"traditional":[8],"pairwise":[9,17,21,71],"constraint":[10,22,45],"(i.e.,":[11],"must-link":[12],"or":[13,32],"cannot-link)":[14],"to":[15,26,89],"constraint.":[18],"The":[19,74],"allows":[23],"a":[24,40,65,84,98,151],"supervisor":[25],"provide":[27],"grade":[29],"of":[30,39,42,54,158],"similarity":[31],"dissimilarity":[33],"between":[34,51],"implicit":[36],"vectors":[38],"pair":[41,53],"samples.":[43],"This":[44],"can":[46,119],"represent":[47],"more":[48],"complicated":[49],"relationship":[50],"samples":[55],"and":[56,115,150],"avoid":[57],"eliminating":[58],"characteristics.":[61],"Then,":[62],"we":[63],"propose":[64],"clustering":[68,165],"with":[69,162],"constraints":[72],"(SSFPC).":[73],"nonconvex":[75],"optimization":[76],"problem":[77],"in":[78],"our":[79,159],"SSFPC":[80,131,160],"is":[81,105,132],"solved":[82],"by":[83],"modified":[85],"expectation-maximization":[86],"algorithm,":[87],"involving":[88],"solve":[90],"several":[91,147],"indefinite":[92],"quadratic":[93],"programming":[94],"problems":[95],"(IQPPs).":[96],"Further,":[97],"diagonal":[99],"block":[100],"coordinate":[101],"decent":[102],"(DBCD)":[103],"algorithm":[104],"proposed":[106],"for":[107,127],"these":[108],"IQPPs,":[109],"whose":[110],"stationary":[111],"points":[112],"are":[113],"guaranteed,":[114],"global":[117],"solutions":[118],"be":[120],"obtained":[121],"under":[122],"certain":[123],"conditions.":[124],"To":[125],"suit":[126],"different":[128],"applications,":[129],"extended":[133],"into":[134],"various":[135],"metric":[136],"spaces,":[137],"e.g.,":[138],"reproducing":[140],"kernel":[141],"Hilbert":[142],"space.":[143],"Experimental":[144],"results":[145],"on":[146],"benchmark":[148],"datasets":[149],"facial":[152],"expression":[153],"database":[154],"demonstrate":[155],"outperformance":[157],"compared":[161],"some":[163],"state-of-the-art":[164],"models":[166]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-12-06T00:00:00"}
