{"id":"https://openalex.org/W4403129751","doi":"https://doi.org/10.1142/s1793005726500274","title":"A RBF Neural Network System for Solving Fuzzy Optimal Control Problems Depending on Generalized Hukuhara Derivatives","display_name":"A RBF Neural Network System for Solving Fuzzy Optimal Control Problems Depending on Generalized Hukuhara Derivatives","publication_year":2024,"publication_date":"2024-10-04","ids":{"openalex":"https://openalex.org/W4403129751","doi":"https://doi.org/10.1142/s1793005726500274"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005726500274","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500274","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5113418064","display_name":"Aneseh Kazemi","orcid":null},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Aneseh Kazemi","raw_affiliation_strings":["Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran"],"raw_orcid":"https://orcid.org/0009-0000-4012-2158","affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016813528","display_name":"Alireza Nazemi","orcid":"https://orcid.org/0000-0003-2972-9375"},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Alireza Nazemi","raw_affiliation_strings":["Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran"],"raw_orcid":"https://orcid.org/0000-0003-2972-9375","affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I176861719"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1456406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"02","first_page":"535","last_page":"572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9053000211715698,"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":0.9053000211715698,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6388707160949707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5256223082542419},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5215252041816711},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43467384576797485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4340086579322815},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4167092442512512},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3643476665019989},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3583703935146332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3180355429649353}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6388707160949707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5256223082542419},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5215252041816711},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43467384576797485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4340086579322815},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4167092442512512},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3643476665019989},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3583703935146332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3180355429649353}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005726500274","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500274","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W565587792","https://openalex.org/W1634261337","https://openalex.org/W1963563302","https://openalex.org/W1968290996","https://openalex.org/W1969495063","https://openalex.org/W1989955119","https://openalex.org/W1994178762","https://openalex.org/W1997650983","https://openalex.org/W1997679081","https://openalex.org/W2000348782","https://openalex.org/W2007653219","https://openalex.org/W2015219393","https://openalex.org/W2026656818","https://openalex.org/W2034139644","https://openalex.org/W2038354216","https://openalex.org/W2049246978","https://openalex.org/W2055443629","https://openalex.org/W2079325629","https://openalex.org/W2101036899","https://openalex.org/W2106549836","https://openalex.org/W2108979364","https://openalex.org/W2151205149","https://openalex.org/W2152892562","https://openalex.org/W2156854447","https://openalex.org/W2172777039","https://openalex.org/W2184345021","https://openalex.org/W2231873120","https://openalex.org/W2236623899","https://openalex.org/W2553611376","https://openalex.org/W2752848833","https://openalex.org/W2768611607","https://openalex.org/W2938951821","https://openalex.org/W2943860601","https://openalex.org/W2984367374","https://openalex.org/W3003824080","https://openalex.org/W3021933602","https://openalex.org/W3038580142","https://openalex.org/W4251512373","https://openalex.org/W4285801344","https://openalex.org/W4307728481","https://openalex.org/W4309331798","https://openalex.org/W4367044590","https://openalex.org/W4386101881"],"related_works":["https://openalex.org/W2391251536","https://openalex.org/W2362198218","https://openalex.org/W1982750869","https://openalex.org/W2019521278","https://openalex.org/W1984922432","https://openalex.org/W2113077220","https://openalex.org/W2375008505","https://openalex.org/W2350679292","https://openalex.org/W2086348228","https://openalex.org/W135622916"],"abstract_inverted_index":{"In":[0,197],"this":[1],"paper,":[2],"an":[3,171],"intelligence":[4],"approach":[5,86],"based":[6,179],"on":[7,59,138,180],"radial":[8,90],"basis":[9,91],"function":[10,144,173],"neural":[11,84,115],"networks":[12],"(RBFNNs)":[13],"is":[14,104,131,167,184],"used":[15],"for":[16,37,50,68,98],"solving":[17],"fuzzy":[18,34,39,51,83,147,195],"optimal":[19,52],"control":[20,53],"problems,":[21,54],"utilizing":[22],"the":[23,28,33,60,74,101,108,111,118,124,128,134,139,146,158,181,187,191,201,204],"generalized":[24,61],"Hukuhara":[25,62],"derivatives.":[26,63],"At":[27],"first":[29],"step,":[30],"we":[31],"consider":[32],"Euler\u2013Lagrange":[35],"conditions":[36,67],"both":[38,55],"unconstrained":[40],"and":[41,45,127,153],"constrained":[42],"variational":[43],"problems":[44,70,80],"Pontryagin":[46],"maximum":[47],"principle":[48],"(PMP)":[49],"of":[56,76,89,100,110,121,141,149,194,203],"them":[57],"depending":[58],"The":[64,161],"necessary":[65],"optimality":[66],"these":[69],"are":[71,155,210],"examined":[72],"in":[73,157],"form":[75],"two-point":[77],"boundary":[78],"value":[79],"(TPBVPs).":[81],"A":[82,176],"network":[85,116],"that":[87],"utilizes":[88],"functions":[92,97],"(RBFs)":[93],"as":[94,123,133,143,186],"its":[95],"activation":[96],"one":[99],"hidden":[102],"layers":[103],"described":[105],"to":[106,189,199],"approximate":[107],"solution":[109],"related":[112],"TPBVP.":[113,160],"This":[114],"uses":[117],"center":[119],"points":[120],"RBFs":[122],"training":[125],"dataset,":[126],"Levenberg\u2013Marquardt":[129,182],"algorithm":[130,183],"selected":[132],"optimizer.":[135],"By":[136],"relying":[137],"ability":[140],"RBFNN":[142],"approximator,":[145],"solutions":[148],"variables":[150],"(state,":[151],"co-state":[152],"control)":[154],"substituted":[156],"associated":[159],"obtained":[162],"algebraic":[163],"nonlinear":[164],"equations":[165],"system":[166],"then":[168],"converted":[169],"into":[170],"error":[172],"minimization":[174],"problem.":[175],"learning":[177],"scheme":[178],"employed":[185],"optimizer":[188],"derive":[190],"adjustable":[192],"parameters":[193],"solutions.":[196],"order":[198],"clarify":[200],"effectiveness":[202],"studied":[205],"RBFNN,":[206],"some":[207],"numerical":[208],"results":[209],"supplied.":[211]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}