{"id":"https://openalex.org/W2157440458","doi":"https://doi.org/10.1109/isic.2007.4450876","title":"Universal Approximation for Takagi-Sugeno Fuzzy Systems Using Dynamically Constructive Method-SISO Cases","display_name":"Universal Approximation for Takagi-Sugeno Fuzzy Systems Using Dynamically Constructive Method-SISO Cases","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2157440458","doi":"https://doi.org/10.1109/isic.2007.4450876","mag":"2157440458"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2007.4450876","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","raw_type":"proceedings-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/A5055546056","display_name":"Fuchun Sun","orcid":"https://orcid.org/0000-0003-3546-6305"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fuchun Sun","raw_affiliation_strings":["Department of Computer Science and Technology, State Key Laboratory of Intelligent Technology & Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, State Key Laboratory of Intelligent Technology & Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079885590","display_name":"Ni Zhao","orcid":"https://orcid.org/0000-0002-1536-8516"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ni Zhao","raw_affiliation_strings":["Tsinghua University, Beijing, Beijing, CN"],"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055546056"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.9385,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8273451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"150","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":1.0,"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":1.0,"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":0.9976000189781189,"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":0.984499990940094,"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/constructive","display_name":"Constructive","score":0.8842942714691162},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6775058507919312},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6489290595054626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.553966224193573},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5523866415023804},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.552384078502655},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4689438045024872},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4664197862148285},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4602043330669403},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45593374967575073},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.4333392381668091},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4303315579891205},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4292272627353668},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.421216756105423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4037328362464905},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33736175298690796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2137991189956665},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1380125880241394},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.06486627459526062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0646216869354248}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.8842942714691162},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6775058507919312},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6489290595054626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.553966224193573},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5523866415023804},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.552384078502655},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4689438045024872},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4664197862148285},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4602043330669403},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45593374967575073},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.4333392381668091},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4303315579891205},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4292272627353668},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.421216756105423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4037328362464905},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33736175298690796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2137991189956665},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1380125880241394},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.06486627459526062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0646216869354248},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isic.2007.4450876","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1975965573","https://openalex.org/W1989555277","https://openalex.org/W1993637083","https://openalex.org/W1996162276","https://openalex.org/W2016756201","https://openalex.org/W2087939449","https://openalex.org/W2089733531","https://openalex.org/W2099822216","https://openalex.org/W2101036899","https://openalex.org/W2103269436","https://openalex.org/W2114020393","https://openalex.org/W2139133559","https://openalex.org/W2148347691","https://openalex.org/W2160327601","https://openalex.org/W2162450741","https://openalex.org/W2305587097","https://openalex.org/W4213345774"],"related_works":["https://openalex.org/W154406135","https://openalex.org/W3186561448","https://openalex.org/W1487720066","https://openalex.org/W1975005191","https://openalex.org/W3207735076","https://openalex.org/W2781808531","https://openalex.org/W2674573885","https://openalex.org/W2116249946","https://openalex.org/W4361984403","https://openalex.org/W2101884244"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,82],"dynamically":[4,53],"constructive":[5,29,54],"method":[6,55,109],"is":[7,24,93],"proposed":[8,56],"for":[9,14],"proving":[10],"the":[11,27,33,37,46,60,64,72,84,89,102,117],"universal":[12],"approximation":[13],"single":[15],"input/single":[16],"output":[17],"(SISO)":[18],"Takagi-Sugeno":[19],"(T-S)":[20],"fuzzy":[21,50,76,79,104],"systems,":[22],"which":[23],"superior":[25],"to":[26,39,45],"existing":[28],"methods":[30],"only":[31,58],"considering":[32],"global":[34],"property":[35,62],"of":[36,49,63,75,86],"function":[38,66],"be":[40],"approximated":[41],"and":[42],"also":[43,71],"unrelated":[44],"membership":[47,73],"functions":[48,74,120],"sets.":[51],"The":[52],"not":[57],"considers":[59],"different":[61,68],"nonlinear":[65,119],"in":[67,78,88],"areas,":[69],"but":[70],"sets":[77],"rules.":[80],"As":[81],"result,":[83],"number":[85],"rules":[87],"constructed":[90,106],"T-S":[91,103],"model":[92,105],"greatly":[94],"reduced.":[95],"Finally":[96],"some":[97,127],"simulation":[98],"examples":[99],"confirm":[100],"that":[101],"by":[107],"our":[108],"with":[110,126],"small":[111],"size":[112],"rule":[113],"base":[114],"can":[115],"approximate":[116],"given":[118],"at":[121],"high":[122],"accuracy":[123],"as":[124],"compared":[125],"typical":[128],"methods.":[129]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
