{"id":"https://openalex.org/W2118602657","doi":"https://doi.org/10.1109/fuzzy.2010.5584515","title":"Interpretability improvement of fuzzy systems: Reducing the number of unique singletons in zeroth order Takagi-Sugeno systems","display_name":"Interpretability improvement of fuzzy systems: Reducing the number of unique singletons in zeroth order Takagi-Sugeno systems","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2118602657","doi":"https://doi.org/10.1109/fuzzy.2010.5584515","mag":"2118602657"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2010.5584515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584515","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","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/A5085773848","display_name":"Andri Riid","orcid":"https://orcid.org/0000-0003-0316-7036"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":true,"raw_author_name":"Andri Riid","raw_affiliation_strings":["Laboratory of Proactive Technologies, Tallinn University of Technology, Tallinn, Estonia","Laboratory of Proactive Technologies, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratory of Proactive Technologies, Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Laboratory of Proactive Technologies, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia#TAB#","institution_ids":["https://openalex.org/I111112146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075879216","display_name":"Ennu R\u00fcstern","orcid":null},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Ennu Rustern","raw_affiliation_strings":["Department of Computer Control, Tallinn University of Technology, Tallinn, Estonia","Department of Computer Control, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Control, Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Department of Computer Control, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia#TAB#","institution_ids":["https://openalex.org/I111112146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085773848"],"corresponding_institution_ids":["https://openalex.org/I111112146"],"apc_list":null,"apc_paid":null,"fwci":2.7063,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9109761,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9965000152587891,"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":0.9822999835014343,"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/interpretability","display_name":"Interpretability","score":0.8847287893295288},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5601624250411987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4925282895565033},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.47072330117225647},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.46970078349113464},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4669986963272095},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4551631212234497},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.43455198407173157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4279686212539673},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4230033755302429},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.406377375125885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3858147859573364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33961135149002075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28726089000701904}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.8847287893295288},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5601624250411987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4925282895565033},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.47072330117225647},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.46970078349113464},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4669986963272095},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4551631212234497},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.43455198407173157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4279686212539673},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4230033755302429},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.406377375125885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3858147859573364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33961135149002075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28726089000701904},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2010.5584515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584515","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321018","display_name":"Eesti Teadusfondi","ror":"https://ror.org/00jjeja18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W635500860","https://openalex.org/W1560688497","https://openalex.org/W1570834090","https://openalex.org/W1974511160","https://openalex.org/W1983425265","https://openalex.org/W1994725735","https://openalex.org/W2005423095","https://openalex.org/W2063192371","https://openalex.org/W2089717797","https://openalex.org/W2095594165","https://openalex.org/W2113076747","https://openalex.org/W2150593711","https://openalex.org/W2168237325","https://openalex.org/W2172188428","https://openalex.org/W4233391551"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W2888392564","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W4390569940","https://openalex.org/W4361193272","https://openalex.org/W4233660055","https://openalex.org/W2076370897"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"one":[3],"specific":[4],"aspect":[5],"of":[6,19,43,68,93],"complexity":[7],"reduction/interpretability":[8],"improvement":[9],"in":[10,22,52],"fuzzy":[11,69],"systems":[12,50],"-":[13],"how":[14],"to":[15,33,38,89,97],"limit":[16],"the":[17,29,91,98],"number":[18,92],"unique":[20,36,94],"singletons":[21,95],"0-th":[23,47],"order":[24,48],"Takagi-Sugeno":[25],"(TS)":[26],"systems,":[27],"where":[28],"common":[30],"practice":[31],"is":[32,87],"assign":[34],"an":[35,62],"singleton":[37,77],"each":[39],"rule.":[40],"While":[41],"abundance":[42],"free":[44],"parameters":[45],"makes":[46],"TS":[49],"effective":[51],"data-driven":[53],"identification,":[54],"it":[55],"also":[56],"presents":[57],"a":[58],"computational":[59],"load":[60],"and":[61,66,82],"obstacle":[63],"for":[64],"interpretability":[65],"reliability":[67],"rules.":[70],"The":[71],"developed":[72],"reduction":[73],"algorithm":[74],"that":[75],"utilizes":[76],"mapping":[78],"matrix,":[79],"subtractive":[80],"clustering":[81],"least":[83],"squares":[84],"estimation":[85],"algorithms,":[86],"able":[88],"bring":[90],"down":[96],"desired":[99],"level":[100],"without":[101],"substantial":[102],"accuracy":[103],"loss.":[104]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2013,"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"}
