{"id":"https://openalex.org/W2021429464","doi":"https://doi.org/10.1109/tfuzz.2013.2241771","title":"Simplified Interval Type-2 Fuzzy Logic Systems","display_name":"Simplified Interval Type-2 Fuzzy Logic Systems","publication_year":2013,"publication_date":"2013-01-21","ids":{"openalex":"https://openalex.org/W2021429464","doi":"https://doi.org/10.1109/tfuzz.2013.2241771","mag":"2021429464"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2013.2241771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2241771","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/A5028699912","display_name":"Jerry M. Mendel","orcid":"https://orcid.org/0000-0001-6377-2452"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jerry M. Mendel","raw_affiliation_strings":["Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048261783","display_name":"Xinwang Liu","orcid":"https://orcid.org/0000-0001-8230-8380"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinwang Liu","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China","Sch. of Econ. & Manage., Southeast Univ., NanJing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Sch. of Econ. & Manage., Southeast Univ., NanJing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028699912"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":25.4887,"has_fulltext":false,"cited_by_count":198,"citation_normalized_percentile":{"value":0.99572723,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"21","issue":"6","first_page":"1056","last_page":"1069"},"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":0.9926999807357788,"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":0.961899995803833,"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/defuzzification","display_name":"Defuzzification","score":0.8711488246917725},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6639168858528137},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6380169987678528},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6146888136863708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5466585159301758},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4722763001918793},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4464452266693115},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4447154998779297},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42135488986968994},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4181705713272095},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4053563177585602},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.38112780451774597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3670639991760254},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35058075189590454}],"concepts":[{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.8711488246917725},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6639168858528137},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6380169987678528},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6146888136863708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5466585159301758},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4722763001918793},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4464452266693115},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4447154998779297},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42135488986968994},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4181705713272095},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4053563177585602},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.38112780451774597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3670639991760254},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35058075189590454},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2013.2241771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2241771","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":40,"referenced_works":["https://openalex.org/W1977425756","https://openalex.org/W2000976145","https://openalex.org/W2002695893","https://openalex.org/W2025544956","https://openalex.org/W2039037639","https://openalex.org/W2039652152","https://openalex.org/W2059901265","https://openalex.org/W2064421746","https://openalex.org/W2101560809","https://openalex.org/W2103232511","https://openalex.org/W2105234323","https://openalex.org/W2105985709","https://openalex.org/W2108225531","https://openalex.org/W2116046819","https://openalex.org/W2116579452","https://openalex.org/W2117961832","https://openalex.org/W2120165455","https://openalex.org/W2128251760","https://openalex.org/W2130135344","https://openalex.org/W2132885717","https://openalex.org/W2147708960","https://openalex.org/W2149604064","https://openalex.org/W2151614844","https://openalex.org/W2152329090","https://openalex.org/W2153406165","https://openalex.org/W2153744349","https://openalex.org/W2154186319","https://openalex.org/W2155263265","https://openalex.org/W2158759539","https://openalex.org/W2161771180","https://openalex.org/W2162315444","https://openalex.org/W2162706466","https://openalex.org/W2164879989","https://openalex.org/W2165064705","https://openalex.org/W2165846406","https://openalex.org/W2482430271","https://openalex.org/W2913642042","https://openalex.org/W4206636130","https://openalex.org/W6682133608","https://openalex.org/W6682291467"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4388451300","https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2060361571","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1485268022","https://openalex.org/W2382615100","https://openalex.org/W4361984403"],"abstract_inverted_index":{"Type":[0],"reduction":[1],"(TR)":[2],"followed":[3,93],"by":[4,94],"defuzzification":[5,46,58,95],"is":[6,54,77,122],"commonly":[7],"used":[8],"in":[9],"interval":[10,130],"type-2":[11,131],"fuzzy":[12,132],"logic":[13],"systems":[14],"(IT2":[15],"FLSs).":[16],"Because":[17],"of":[18,22,34,52,68],"the":[19,31,50,55,69,74,78,100,119],"iterative":[20],"nature":[21],"TR,":[23,49],"it":[24],"may":[25],"be":[26],"a":[27,88,123],"computational":[28],"bottleneck":[29],"for":[30],"real-time":[32],"applications":[33],"an":[35,106,129],"IT2":[36],"FLS.":[37],"This":[38,62,84],"has":[39],"led":[40],"to":[41,45,82,127],"many":[42],"direct":[43,57,89],"approaches":[44],"that":[47,72,118],"bypass":[48],"simplest":[51],"which":[53],"Nie-Tan":[56],"method":[59,71,80,121],"(NT":[60],"method).":[61],"paper":[63,85],"provides":[64,87,105],"some":[65],"theoretical":[66,114],"analyses":[67],"NT":[70,79,101,108,120],"answer":[73],"question":[75],"\u201cWhy":[76],"good":[81,125],"use?\u201d":[83],"also":[86,104],"relationship":[90],"between":[91],"TR":[92],"(using":[96],"KM":[97],"algorithms)":[98],"and":[99,116],"method.":[102,109],"It":[103],"improved":[107],"Numerical":[110],"examples":[111],"illustrate":[112],"our":[113],"results":[115],"suggest":[117],"very":[124],"way":[126],"simplify":[128],"set.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":23},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":24},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
