{"id":"https://openalex.org/W2756420755","doi":"https://doi.org/10.1080/10798587.2017.1327154","title":"Numerical Solution of Fuzzy Equations with Z-numbers using Neural Networks","display_name":"Numerical Solution of Fuzzy Equations with Z-numbers using Neural Networks","publication_year":2017,"publication_date":"2017-09-11","ids":{"openalex":"https://openalex.org/W2756420755","doi":"https://doi.org/10.1080/10798587.2017.1327154","mag":"2756420755"},"language":"en","primary_location":{"id":"doi:10.1080/10798587.2017.1327154","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10798587.2017.1327154","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation and Soft Computing","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/A5083056452","display_name":"Raheleh Jafari","orcid":"https://orcid.org/0000-0001-7298-2363"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Raheleh Jafari","raw_affiliation_strings":["Departamento de Control Autom\u00e1tico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Control Autom\u00e1tico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008201587","display_name":"Wen Yu","orcid":"https://orcid.org/0000-0002-9540-7924"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Wen Yu","raw_affiliation_strings":["Departamento de Control Autom\u00e1tico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Control Autom\u00e1tico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100683740","display_name":"Xiaoou Li","orcid":"https://orcid.org/0000-0003-3087-7375"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"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":"Xiaoou Li","raw_affiliation_strings":["[Departamento de Computaci\u00f3n, CINVESTAV-IPN, National Polytechnic Institute, Mexico City, Mexico]"],"affiliations":[{"raw_affiliation_string":"[Departamento de Computaci\u00f3n, CINVESTAV-IPN, National Polytechnic Institute, Mexico City, Mexico]","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083056452"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":5.1026,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96886468,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"1","first_page":"151","last_page":"158"},"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":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8952869176864624},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6591365337371826},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5034789443016052},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3858304023742676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3845568299293518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09565991163253784}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8952869176864624},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6591365337371826},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5034789443016052},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3858304023742676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3845568299293518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09565991163253784}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10798587.2017.1327154","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10798587.2017.1327154","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation and Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:156082","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1496777766","https://openalex.org/W1964997874","https://openalex.org/W1965744721","https://openalex.org/W1970104171","https://openalex.org/W1992747194","https://openalex.org/W1994178762","https://openalex.org/W1995667902","https://openalex.org/W1997608636","https://openalex.org/W1997952930","https://openalex.org/W2004719426","https://openalex.org/W2009342598","https://openalex.org/W2017092139","https://openalex.org/W2019917024","https://openalex.org/W2036102558","https://openalex.org/W2039022442","https://openalex.org/W2040197058","https://openalex.org/W2040423402","https://openalex.org/W2042774699","https://openalex.org/W2048485471","https://openalex.org/W2053636102","https://openalex.org/W2055257218","https://openalex.org/W2056258420","https://openalex.org/W2065388376","https://openalex.org/W2065397160","https://openalex.org/W2065466432","https://openalex.org/W2065804254","https://openalex.org/W2066084209","https://openalex.org/W2066805416","https://openalex.org/W2075572001","https://openalex.org/W2079325629","https://openalex.org/W2085750851","https://openalex.org/W2090231116","https://openalex.org/W2103496339","https://openalex.org/W2106459532","https://openalex.org/W2125099453","https://openalex.org/W2148885430","https://openalex.org/W2149668177","https://openalex.org/W2163982943","https://openalex.org/W2216971780","https://openalex.org/W2238703984","https://openalex.org/W2415311571","https://openalex.org/W2508963551","https://openalex.org/W4241126627","https://openalex.org/W4247219141","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,9,12,15,21,36,56,59,65,71,87],"uncertainty":[4],"property":[5],"is":[6,24,43],"represented":[7],"by":[8],"Z-number":[10,91],"as":[11,64],"coefficients":[13],"of":[14,51,70,78,86],"fuzzy":[16,22,37,53,88],"equation.":[17],"This":[18],"modification":[19],"for":[20,26,45],"equation":[23,38],"suitable":[25],"nonlinear":[27,47],"system":[28],"modeling":[29],"with":[30,90],"uncertain":[31],"parameters.":[32],"We":[33],"also":[34],"extend":[35],"into":[39],"dual":[40],"type,":[41],"which":[42],"natural":[44],"linear-in-parameter":[46],"systems.":[48],"The":[49,67],"solutions":[50,72,85],"these":[52],"equations":[54,89],"are":[55,62,74,81],"controllers":[57],"when":[58],"desired":[60],"references":[61],"regarded":[63],"outputs.":[66],"existence":[68],"conditions":[69],"(controllability)":[73],"proposed.":[75],"Two":[76],"types":[77],"neural":[79],"networks":[80],"implemented":[82],"to":[83],"approximate":[84],"coefficients.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}