{"id":"https://openalex.org/W7106212794","doi":"https://doi.org/10.1109/tfuzz.2025.3635407","title":"Takagi\u2013Sugeno\u2013Kang Fuzzy Systems With Iterated Projection Optimization for Classification Problems","display_name":"Takagi\u2013Sugeno\u2013Kang Fuzzy Systems With Iterated Projection Optimization for Classification Problems","publication_year":2025,"publication_date":"2025-11-21","ids":{"openalex":"https://openalex.org/W7106212794","doi":"https://doi.org/10.1109/tfuzz.2025.3635407"},"language":null,"primary_location":{"id":"doi:10.1109/tfuzz.2025.3635407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2025.3635407","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":null,"display_name":"Xiaoyu Gao","orcid":"https://orcid.org/0009-0005-7290-6826"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoyu Gao","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jian Wang","orcid":"https://orcid.org/0000-0002-4316-932X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Wang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bin Yuan","orcid":"https://orcid.org/0000-0002-0450-3532"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Yuan","raw_affiliation_strings":["College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Caili Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caili Dai","raw_affiliation_strings":["College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":null,"display_name":"Nikhil R. Pal","orcid":"https://orcid.org/0000-0001-6935-901X"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nikhil R. Pal","raw_affiliation_strings":["Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.78034063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":"396","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9408000111579895,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9408000111579895,"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/T10320","display_name":"Neural Networks and Applications","score":0.010599999688565731,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.007400000002235174,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6108999848365784},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.47870001196861267},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.46619999408721924},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4611999988555908},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.4560000002384186},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.43369999527931213},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41850000619888306},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.34850001335144043},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.3330000042915344}],"concepts":[{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6108999848365784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5748000144958496},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5656999945640564},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47870001196861267},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.46619999408721924},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4611999988555908},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4560000002384186},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.43369999527931213},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41850000619888306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3797000050544739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35030001401901245},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.3330000042915344},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3328999876976013},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.3230000138282776},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3221000134944916},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.3197000026702881},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.30390000343322754},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2946000099182129},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.2921000123023987},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2833000123500824},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2734000086784363},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.26829999685287476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2025.3635407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2025.3635407","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1824237966","https://openalex.org/W1974758710","https://openalex.org/W1988844573","https://openalex.org/W2019207321","https://openalex.org/W2023476457","https://openalex.org/W2043792182","https://openalex.org/W2048305372","https://openalex.org/W2079325629","https://openalex.org/W2095960106","https://openalex.org/W2143935103","https://openalex.org/W2156948680","https://openalex.org/W2167553908","https://openalex.org/W2530209749","https://openalex.org/W2586280710","https://openalex.org/W2598843318","https://openalex.org/W2949453661","https://openalex.org/W2990499011","https://openalex.org/W2994838458","https://openalex.org/W3023736375","https://openalex.org/W3039193804","https://openalex.org/W3049423707","https://openalex.org/W3095761189","https://openalex.org/W3196460936","https://openalex.org/W3204721342","https://openalex.org/W4254931243","https://openalex.org/W4285023751","https://openalex.org/W4285066542","https://openalex.org/W4294068697","https://openalex.org/W4312547100","https://openalex.org/W4367146573","https://openalex.org/W4382203506","https://openalex.org/W4386350779","https://openalex.org/W4386397730","https://openalex.org/W4386736624","https://openalex.org/W4386918828","https://openalex.org/W4393105112","https://openalex.org/W4393371926","https://openalex.org/W4395051973","https://openalex.org/W4399993796","https://openalex.org/W4401386868","https://openalex.org/W4406921733","https://openalex.org/W4413785353"],"related_works":[],"abstract_inverted_index":{"Takagi\u2013Sugeno\u2013Kang":[0],"(TSK)":[1],"fuzzy":[2,197],"systems":[3],"are":[4],"valued":[5],"for":[6],"their":[7],"interpretability":[8],"and":[9,44,56,68],"flexibility,":[10],"yet":[11],"scaling":[12],"them":[13],"to":[14,62,103,126,143,162],"high-dimensional":[15,77,214],"data":[16],"remains":[17],"challenging.":[18],"On":[19,38],"the":[20,27,39,85,95,105,110,121,148,163,176,181,206],"antecedent":[21],"side,":[22,41],"computing":[23],"firing":[24],"strengths":[25],"with":[26],"product":[28],"T-norm":[29],"often":[30],"results":[31],"in":[32,212],"ineffective":[33],"activations,":[34],"undermining":[35],"rule":[36,113],"utilization.":[37],"consequent":[40,128],"classical":[42],"least-squares":[43,183],"gradient-based":[45],"training":[46,58],"may":[47],"generalize":[48],"poorly":[49],"without":[50],"additional":[51],"regularization.":[52],"Thus,":[53],"an":[54,100],"efficient":[55],"effective":[57],"algorithm":[59],"is":[60,124,135,158,200],"required":[61],"strike":[63],"a":[64,76,89,118,139,154,192],"balance":[65],"between":[66],"generalization":[67],"precision.":[69],"To":[70,146],"overcome":[71],"these":[72,190],"challenges,":[73],"we":[74],"propose":[75],"adaptive":[78],"uniform":[79],"membership":[80],"function":[81],"(HDAUMF)":[82],"that":[83,173,205],"adapts":[84],"width":[86],"parameter":[87],"using":[88],"theoretically":[90],"motivated":[91],"lower":[92],"bound":[93],"on":[94,116],"Gaussian":[96],"width.":[97],"By":[98],"incorporating":[99],"activation":[101,106],"radius":[102],"regulate":[104],"distribution,":[107],"HDAUMF":[108],"improves":[109],"effectiveness":[111],"of":[112,120,130,151],"activation.":[114],"Building":[115],"this,":[117],"variant":[119],"Kaczmarz":[122],"method":[123],"extended":[125],"learn":[127],"weights":[129],"multioutput":[131],"TSK":[132,196],"models,":[133],"which":[134],"further":[136],"enhanced":[137],"by":[138],"dual":[140,164,177],"residual":[141,165,178],"strategy":[142,179],"accelerate":[144],"convergence.":[145],"mitigate":[147],"computational":[149],"burden":[150],"matrix":[152],"operations,":[153],"partitioned":[155],"update":[156],"scheme":[157],"designed,":[159],"giving":[160],"rise":[161],"iterated":[166,194],"projection":[167,195],"(DRIP)":[168],"algorithm.":[169],"Theoretical":[170],"analysis":[171],"shows":[172],"convergence":[174],"under":[175],"yields":[180],"minimum-norm":[182],"solution,":[184],"thereby":[185],"supporting":[186],"robust":[187],"generalization.":[188],"Combining":[189],"advancements,":[191],"novel":[193],"system":[198],"(IPTSK)":[199],"developed.":[201],"Numerical":[202],"experiments":[203],"validate":[204],"proposed":[207],"methods":[208],"achieve":[209],"competitive":[210],"performance":[211],"tackling":[213],"problems.":[215]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-11-23T00:00:00"}