{"id":"https://openalex.org/W2553519473","doi":"https://doi.org/10.1109/fuzz-ieee.2016.7737828","title":"Maclaurin series expansion complexity-reduced center of sets type-reduction + defuzzification for interval type-2 fuzzy systems","display_name":"Maclaurin series expansion complexity-reduced center of sets type-reduction + defuzzification for interval type-2 fuzzy systems","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2553519473","doi":"https://doi.org/10.1109/fuzz-ieee.2016.7737828","mag":"2553519473"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2016.7737828","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2016.7737828","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5110287779","display_name":"Mojtaba Ahmadieh Khanesar","orcid":null},"institutions":[{"id":"https://openalex.org/I928334797","display_name":"Semnan University","ror":"https://ror.org/029gksw03","country_code":"IR","type":"education","lineage":["https://openalex.org/I928334797"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mojtaba Ahmadieh Khanesar","raw_affiliation_strings":["Department of Electrical and Control Engineering, Semnan University, Semnan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Control Engineering, Semnan University, Semnan, Iran","institution_ids":["https://openalex.org/I928334797"]}]},{"author_position":"last","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":false,"raw_author_name":"Jerry M. Mendel","raw_affiliation_strings":["Signal and Image Processing Institute, University of Southern California, Los Angeles, CA"],"affiliations":[{"raw_affiliation_string":"Signal and Image Processing Institute, University of Southern California, Los Angeles, CA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110287779"],"corresponding_institution_ids":["https://openalex.org/I928334797"],"apc_list":null,"apc_paid":null,"fwci":2.1424,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90878483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"17","issue":null,"first_page":"1224","last_page":"1231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.994700014591217,"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":0.9829999804496765,"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/series","display_name":"Series (stratigraphy)","score":0.701198399066925},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.6431800127029419},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6328781843185425},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6069724559783936},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5926882028579712},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5781309604644775},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5764304399490356},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.5110024213790894},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5077782273292542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4996297359466553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49092963337898254},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4475925862789154},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44732943177223206},{"id":"https://openalex.org/keywords/series-expansion","display_name":"Series expansion","score":0.4275839328765869},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3074142634868622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.281421035528183},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.26102083921432495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21199488639831543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15129587054252625},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1378542184829712}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.701198399066925},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.6431800127029419},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6328781843185425},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6069724559783936},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5926882028579712},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5781309604644775},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5764304399490356},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.5110024213790894},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5077782273292542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4996297359466553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49092963337898254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4475925862789154},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44732943177223206},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.4275839328765869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3074142634868622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.281421035528183},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.26102083921432495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21199488639831543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15129587054252625},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1378542184829712},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2016.7737828","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2016.7737828","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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":21,"referenced_works":["https://openalex.org/W1587720658","https://openalex.org/W1905844197","https://openalex.org/W1983658296","https://openalex.org/W2021429464","https://openalex.org/W2026754475","https://openalex.org/W2094760805","https://openalex.org/W2103232511","https://openalex.org/W2103936935","https://openalex.org/W2105497931","https://openalex.org/W2116046819","https://openalex.org/W2134306672","https://openalex.org/W2136543396","https://openalex.org/W2143760316","https://openalex.org/W2149604064","https://openalex.org/W2160323149","https://openalex.org/W2161475107","https://openalex.org/W2165396372","https://openalex.org/W2177871761","https://openalex.org/W2247101671","https://openalex.org/W6682133608","https://openalex.org/W6685489499"],"related_works":["https://openalex.org/W1681883922","https://openalex.org/W1978290145","https://openalex.org/W2054384926","https://openalex.org/W2008589819","https://openalex.org/W4362710770","https://openalex.org/W2071941970","https://openalex.org/W1943203585","https://openalex.org/W4224917539","https://openalex.org/W2553519473","https://openalex.org/W2500009288"],"abstract_inverted_index":{"This":[0,41],"paper":[1],"provides":[2],"a":[3,68,73,106,115,193],"mathematical":[4],"analysis":[5],"that":[6,16,55,80,111,146,164],"shows":[7],"how":[8],"the":[9,21,27,47,51,83,94,100,124,131,160,190],"crisp":[10],"output":[11],"of":[12,50,65,75,143,203],"an":[13],"IT2":[14,204],"FLS":[15],"is":[17,42,82,112,119,135,148,156,165,174,182],"obtained":[18,29,166],"by":[19,30,35,45,92,141],"using":[20,31,67,123],"Begian-Melek-Mendel":[22],"(BMM)":[23],"formula":[24,134],"compares":[25],"to":[26,86,151],"one":[28,110],"center-of-sets":[32],"type-reduction":[33],"followed":[34],"defuzzification":[36],"(COS":[37],"TR":[38,88,169,186],"+":[39,89,170],"D).":[40],"made":[43],"possible":[44],"reformulating":[46],"structural":[48],"solutions":[49],"two":[52],"optimization":[53],"problems":[54],"are":[56],"associated":[57],"with":[58],"COS":[59,87,128,168,185],"TR,":[60],"and":[61,96,118],"then":[62],"expanding":[63],"each":[64],"them":[66],"Maclaurin":[69,101],"series":[70,102],"expansion.":[71],"As":[72],"result":[74],"doing":[76],"this,":[77],"we":[78,104,139],"show":[79],"BMM":[81,133,157,192],"zero-order":[84,95],"approximation":[85],"D.":[90],"Additionally,":[91],"retaining":[93],"first-order":[97],"terms":[98],"from":[99,149,167],"expansions,":[103],"provide":[105],"new":[107],"Enhanced":[108,132],"BMM,":[109,138],"non-iterative,":[113],"has":[114],"closed":[116],"form":[117],"much":[120],"faster":[121,178],"than":[122,137,155,179],"EKM":[125,181],"algorithms":[126],"for":[127,158,184,197],"TR.":[129],"Although":[130],"slower":[136],"demonstrate,":[140],"means":[142],"extensive":[144],"simulations,":[145],"it":[147,173],"5%":[150],"50%":[152],"more":[153],"accurate":[154],"achieving":[159],"same":[161],"numerical":[162],"solution":[163],"D;":[171],"and,":[172],"at":[175],"least":[176],"94%":[177],"when":[180],"used":[183],"+D,":[187],"which":[188],"makes":[189],"Extended":[191],"very":[194],"strong":[195],"candidate":[196],"use":[198],"in":[199],"real":[200],"time":[201],"applications":[202],"FLSs.":[205]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
