{"id":"https://openalex.org/W2612565010","doi":"https://doi.org/10.1109/icit.2017.7915477","title":"Uncertain nonlinear system control with fuzzy differential equations and Z-numbers","display_name":"Uncertain nonlinear system control with fuzzy differential equations and Z-numbers","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2612565010","doi":"https://doi.org/10.1109/icit.2017.7915477","mag":"2612565010"},"language":"en","primary_location":{"id":"doi:10.1109/icit.2017.7915477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icit.2017.7915477","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Industrial Technology (ICIT)","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/A5083056452","display_name":"Raheleh Jafari","orcid":"https://orcid.org/0000-0001-7298-2363"},"institutions":[{"id":"https://openalex.org/I4210090124","display_name":"Tecnol\u00f3gico Nacional de M\u00e9xico","ror":"https://ror.org/00davry38","country_code":"MX","type":"funder","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4413696010"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Raheleh Jafari","raw_affiliation_strings":["Departamento de Control Autom\u00e1tico, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Control Autom\u00e1tico, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I4210090124","https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008201587","display_name":"Wen Yu","orcid":"https://orcid.org/0000-0002-9540-7924"},"institutions":[{"id":"https://openalex.org/I4210090124","display_name":"Tecnol\u00f3gico Nacional de M\u00e9xico","ror":"https://ror.org/00davry38","country_code":"MX","type":"funder","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4413696010"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Wen Yu","raw_affiliation_strings":["Departamento de Control Autom\u00e1tico, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Control Autom\u00e1tico, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I4210090124","https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083056452"],"corresponding_institution_ids":["https://openalex.org/I4210090124","https://openalex.org/I59361560"],"apc_list":null,"apc_paid":null,"fwci":4.1972,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.95820424,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":null,"first_page":"890","last_page":"895"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.995199978351593,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7221827507019043},{"id":"https://openalex.org/keywords/backpropagation","display_name":"Backpropagation","score":0.6650046706199646},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.635291337966919},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6118214130401611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6080753207206726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5488248467445374},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5385241508483887},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4947478175163269},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4573267698287964},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4292076528072357},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4251902997493744},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.41444122791290283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33230066299438477},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3316710591316223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24244028329849243},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1851198673248291},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1649017035961151}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7221827507019043},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.6650046706199646},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.635291337966919},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6118214130401611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6080753207206726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5488248467445374},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5385241508483887},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4947478175163269},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4573267698287964},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4292076528072357},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4251902997493744},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.41444122791290283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33230066299438477},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3316710591316223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24244028329849243},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1851198673248291},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1649017035961151},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/icit.2017.7915477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icit.2017.7915477","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Industrial Technology (ICIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1526941270","https://openalex.org/W1620222249","https://openalex.org/W1729872201","https://openalex.org/W1849959874","https://openalex.org/W1976470017","https://openalex.org/W1978075626","https://openalex.org/W1992747194","https://openalex.org/W1995580872","https://openalex.org/W1997952930","https://openalex.org/W2004719426","https://openalex.org/W2011104193","https://openalex.org/W2012580290","https://openalex.org/W2031628517","https://openalex.org/W2034038007","https://openalex.org/W2038354216","https://openalex.org/W2039022442","https://openalex.org/W2039746385","https://openalex.org/W2040197058","https://openalex.org/W2040423402","https://openalex.org/W2043652580","https://openalex.org/W2072462334","https://openalex.org/W2079954750","https://openalex.org/W2089021392","https://openalex.org/W2089286499","https://openalex.org/W2092092154","https://openalex.org/W2125099453","https://openalex.org/W2163982943","https://openalex.org/W2216971780","https://openalex.org/W2238703984","https://openalex.org/W2317916567","https://openalex.org/W2508963551","https://openalex.org/W4285719527","https://openalex.org/W4378363317","https://openalex.org/W6636604487","https://openalex.org/W6638818042","https://openalex.org/W6699821906"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,21,25,33,53,66,77,91,98],"solutions":[4,92],"of":[5,16,27,55,68,76,93,100],"fuzzy":[6],"differential":[7,38],"equations":[8,39],"(FDEs)":[9],"are":[10,23,71,87,96],"estimated":[11],"by":[12],"using":[13,58],"two":[14],"types":[15],"Bernstein":[17,84],"neural":[18,50,69,85],"networks.":[19],"Here,":[20],"uncertainties":[22],"in":[24],"form":[26],"Z":[28,63],"numbers.":[29],"Firstly,":[30],"we":[31,48],"transform":[32],"FDE":[34],"to":[35,89],"four":[36],"ordinary":[37],"(ODEs)":[40],"at":[41],"par":[42],"with":[43],"Hukuhara":[44],"differentiability.":[45],"After":[46],"that":[47,80],"develop":[49],"models":[51],"having":[52],"structure":[54],"ODEs.":[56],"By":[57],"modified":[59],"backpropagation":[60],"technique":[61],"for":[62],"number":[64],"variables,":[65],"training":[67],"networks":[70],"carried":[72],"out.":[73],"The":[74],"results":[75],"simulation":[78],"illustrate":[79],"these":[81],"innovative":[82],"models,":[83],"networks,":[86],"efficient":[88],"approximate":[90],"FDEs":[94],"which":[95],"on":[97],"basis":[99],"Z-numbers.":[101]},"counts_by_year":[{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}