{"id":"https://openalex.org/W1973361368","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891626","title":"Construction of slope-consistent trapezoidal interval type-2 fuzzy sets for simplifying the perceptual reasoning method","display_name":"Construction of slope-consistent trapezoidal interval type-2 fuzzy sets for simplifying the perceptual reasoning method","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W1973361368","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891626","mag":"1973361368"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5023987464","display_name":"Chengdong Li","orcid":"https://orcid.org/0000-0002-9680-3523"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengdong Li","raw_affiliation_strings":["The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","institution_ids":["https://openalex.org/I44445938"]},{"raw_affiliation_string":"School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019541846","display_name":"Jianqiang Yi","orcid":"https://orcid.org/0000-0003-3268-9482"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianqiang Yi","raw_affiliation_strings":["Institute of Automation, Chinese Academy of Sciences, Beijing, P. R. China","Institute of Automation, Chinese Academy of Sciences, Beijing 100190, P.\u00a0R.\u00a0China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation, Chinese Academy of Sciences, Beijing, P. R. China","institution_ids":["https://openalex.org/I4210094879","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Institute of Automation, Chinese Academy of Sciences, Beijing 100190, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I4210094879","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050638709","display_name":"Guiqing Zhang","orcid":"https://orcid.org/0000-0001-6547-9049"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiqing Zhang","raw_affiliation_strings":["The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","institution_ids":["https://openalex.org/I44445938"]},{"raw_affiliation_string":"School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100432545","display_name":"Ming Wang","orcid":"https://orcid.org/0000-0001-8406-5677"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Wang","raw_affiliation_strings":["The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, P. R. China","institution_ids":["https://openalex.org/I44445938"]},{"raw_affiliation_string":"School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, P.R. China","institution_ids":["https://openalex.org/I44445938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":null,"first_page":"1261","last_page":"1267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9991999864578247,"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/T10320","display_name":"Neural Networks and Applications","score":0.9991999864578247,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991000294685364,"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":0.9776999950408936,"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/property","display_name":"Property (philosophy)","score":0.6824096441268921},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6552603840827942},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5503073930740356},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5475878715515137},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5474447011947632},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5039626955986023},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.480505108833313},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4731924533843994},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4577542543411255},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.42138534784317017},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4213451147079468},{"id":"https://openalex.org/keywords/trapezoidal-rule","display_name":"Trapezoidal rule","score":0.41847920417785645},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39676254987716675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3844895660877228},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35867416858673096},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3271571397781372},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.11219894886016846}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6824096441268921},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6552603840827942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5503073930740356},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5475878715515137},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5474447011947632},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5039626955986023},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.480505108833313},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4731924533843994},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4577542543411255},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.42138534784317017},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4213451147079468},{"id":"https://openalex.org/C78727","wikidata":"https://www.wikidata.org/wiki/Q833293","display_name":"Trapezoidal rule","level":3,"score":0.41847920417785645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39676254987716675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3844895660877228},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35867416858673096},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3271571397781372},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.11219894886016846},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W291003596","https://openalex.org/W1482852532","https://openalex.org/W1524157153","https://openalex.org/W1969750097","https://openalex.org/W1989650218","https://openalex.org/W1991377734","https://openalex.org/W1995075721","https://openalex.org/W2001885401","https://openalex.org/W2015338869","https://openalex.org/W2019455834","https://openalex.org/W2029775694","https://openalex.org/W2052188750","https://openalex.org/W2053260168","https://openalex.org/W2063618706","https://openalex.org/W2065893491","https://openalex.org/W2080595353","https://openalex.org/W2080598988","https://openalex.org/W2082625436","https://openalex.org/W2090315494","https://openalex.org/W2096468420","https://openalex.org/W2101560809","https://openalex.org/W2106127254","https://openalex.org/W2113285439","https://openalex.org/W2114023718","https://openalex.org/W2117827905","https://openalex.org/W2119388152","https://openalex.org/W2128042275","https://openalex.org/W2131379830","https://openalex.org/W2149483754","https://openalex.org/W2152329090","https://openalex.org/W2157423656","https://openalex.org/W2165094119","https://openalex.org/W2324705998","https://openalex.org/W2371913339","https://openalex.org/W2546809005","https://openalex.org/W4211007335","https://openalex.org/W4247749894","https://openalex.org/W6663687272","https://openalex.org/W6677356988","https://openalex.org/W6683094445"],"related_works":["https://openalex.org/W2019605203","https://openalex.org/W4230551292","https://openalex.org/W2965923960","https://openalex.org/W2152526096","https://openalex.org/W2183909579","https://openalex.org/W2980040387","https://openalex.org/W16785942","https://openalex.org/W4200301701","https://openalex.org/W274839140","https://openalex.org/W1985950237"],"abstract_inverted_index":{"Computing":[0],"with":[1],"words":[2],"(CWW)":[3],"proposed":[4,30],"by":[5,86,169,183],"Zadeh":[6],"is":[7,177],"an":[8],"useful":[9,201],"paradigm":[10],"to":[11,58],"mimic":[12],"the":[13,100,103,109,113,117,120,130,146,149,159,170,185,203,209],"human":[14],"decision-making":[15],"ability":[16],"in":[17,37,74,116,180,208],"a":[18,31,96],"wide":[19],"variety":[20],"of":[21,102,119,148,214],"physical":[22],"and":[23,45,69,125,138],"mental":[24],"tasks.":[25],"To":[26,155],"realize":[27],"CWW,":[28],"Mendel":[29],"specific":[32],"architecture":[33],"called":[34],"perceptual":[35,46],"computer,":[36],"which":[38],"interval":[39],"type-2":[40],"(IT2)":[41],"fuzzy":[42],"sets":[43],"(FSs)":[44],"reasoning":[47],"(PR)":[48],"method":[49,54,85,151,198],"are":[50,123,193,206],"adopted.":[51],"The":[52,195],"PR":[53,104,150,197],"has":[55,70],"been":[56],"proved":[57],"have":[59,126],"good":[60],"properties":[61],"(e.g.":[62],"it":[63],"can":[64,139,152],"output":[65,131],"intuitive":[66],"IT2":[67,114,132,161,173],"FSs)":[68],"found":[71],"several":[72],"applications":[73],"decision":[75],"making.":[76],"In":[77,143],"this":[78,84,144,181],"study,":[79],"we":[80],"focus":[81],"on":[82],"simplifying":[83],"avoiding":[87],"its":[88],"a-cuts":[89],"based":[90],"inference":[91,101],"process.":[92],"We":[93,106],"first":[94],"present":[95],"novel":[97],"property":[98,110],"for":[99],"method.":[105],"observe":[107],"from":[108],"that,":[111],"if":[112],"FSs":[115,162],"consequents":[118],"IF-THEN":[121],"rules":[122],"trapezoidal":[124,137,160,172],"consistent":[127,164],"slopes,":[128],"then":[129],"FS":[133],"will":[134,199],"be":[135,140,153,167,200],"strictly":[136],"determined":[141],"easily.":[142],"case,":[145],"computation":[147],"simplified.":[154],"achieve":[156],"such":[157],"simplification,":[158],"without":[163],"slopes":[165],"should":[166],"approximated":[168],"slope-consistent":[171],"FSs.":[174],"This":[175],"issue":[176],"also":[178],"studied":[179],"paper":[182],"solving":[184],"constrained":[186],"linear-quadratic":[187],"optimization":[188],"problem.":[189],"At":[190],"last,":[191],"examples":[192],"given.":[194],"simplified":[196],"when":[202],"CWW":[204],"models":[205],"utilized":[207],"modeling":[210],"and/or":[211],"control":[212],"problems":[213],"complex":[215],"systems":[216],"or":[217],"multivariable":[218],"dynamic":[219],"systems.":[220]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
