{"id":"https://openalex.org/W4388691940","doi":"https://doi.org/10.1109/tfuzz.2023.3332918","title":"Fuzzy Nonlinear Regression Modeling With Radial Basis Function Networks","display_name":"Fuzzy Nonlinear Regression Modeling With Radial Basis Function Networks","publication_year":2023,"publication_date":"2023-11-15","ids":{"openalex":"https://openalex.org/W4388691940","doi":"https://doi.org/10.1109/tfuzz.2023.3332918"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2023.3332918","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3332918","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","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/A5034485218","display_name":"Gholamreza Hesamian","orcid":"https://orcid.org/0000-0002-3175-7909"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Gholamreza Hesamian","raw_affiliation_strings":["Department of Statistics, Payame Noor University, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-3175-7909","affiliations":[{"raw_affiliation_string":"Department of Statistics, Payame Noor University, Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062846555","display_name":"Arne Johannssen","orcid":"https://orcid.org/0000-0002-4265-3996"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I256606533","display_name":"Hamburg School of Business Administration","ror":"https://ror.org/0560e8961","country_code":"DE","type":"education","lineage":["https://openalex.org/I256606533"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arne Johannssen","raw_affiliation_strings":["Faculty of Business Administration, University of Hamburg, Hamburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4265-3996","affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, University of Hamburg, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I256606533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055024838","display_name":"Nataliya Chukhrova","orcid":"https://orcid.org/0000-0002-4105-7033"},"institutions":[{"id":"https://openalex.org/I177969490","display_name":"University of Southern Denmark","ror":"https://ror.org/03yrrjy16","country_code":"DK","type":"education","lineage":["https://openalex.org/I177969490"]},{"id":"https://openalex.org/I184886455","display_name":"Maersk (Denmark)","ror":"https://ror.org/046gbzb64","country_code":"DK","type":"company","lineage":["https://openalex.org/I184886455"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Nataliya Chukhrova","raw_affiliation_strings":["Faculty of Engineering, University of Southern Denmark, The Maersk Mc-Kinney Moller Institute, Odense M, Denmark"],"raw_orcid":"https://orcid.org/0000-0002-4105-7033","affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Southern Denmark, The Maersk Mc-Kinney Moller Institute, Odense M, Denmark","institution_ids":["https://openalex.org/I177969490","https://openalex.org/I184886455"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.8959,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.97590511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"4","first_page":"1733","last_page":"1742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9979000091552734,"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":0.9902999997138977,"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/nonlinear-regression","display_name":"Nonlinear regression","score":0.6395393013954163},{"id":"https://openalex.org/keywords/radial-basis-function-network","display_name":"Radial basis function network","score":0.5574418306350708},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5517539381980896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5427747964859009},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.5085510015487671},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.49374040961265564},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.4876443147659302},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.479801207780838},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47244125604629517},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44863882660865784},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4177965819835663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38382217288017273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35092562437057495},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32737046480178833},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3135121464729309},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2888256311416626}],"concepts":[{"id":"https://openalex.org/C46889948","wikidata":"https://www.wikidata.org/wiki/Q2755024","display_name":"Nonlinear regression","level":3,"score":0.6395393013954163},{"id":"https://openalex.org/C132917294","wikidata":"https://www.wikidata.org/wiki/Q2679684","display_name":"Radial basis function network","level":4,"score":0.5574418306350708},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5517539381980896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5427747964859009},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.5085510015487671},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.49374040961265564},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.4876443147659302},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.479801207780838},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47244125604629517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44863882660865784},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4177965819835663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38382217288017273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35092562437057495},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32737046480178833},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3135121464729309},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2888256311416626},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tfuzz.2023.3332918","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3332918","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:sdu.dk:publications/159b1ed1-bdbd-49aa-8ed6-01ca4b61577f","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/159b1ed1-bdbd-49aa-8ed6-01ca4b61577f","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hesamian, G, Johannssen, A & Chukhrova, N 2024, 'Fuzzy Nonlinear Regression Modeling With Radial Basis Function Networks', IEEE Transactions on Fuzzy Systems, vol. 32, no. 4, pp. 1733-1742. https://doi.org/10.1109/TFUZZ.2023.3332918","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1775809622","https://openalex.org/W1970554735","https://openalex.org/W1975267279","https://openalex.org/W1977532368","https://openalex.org/W1978485778","https://openalex.org/W1998125874","https://openalex.org/W2012856023","https://openalex.org/W2014016226","https://openalex.org/W2022443690","https://openalex.org/W2029336792","https://openalex.org/W2040935628","https://openalex.org/W2041874595","https://openalex.org/W2043722092","https://openalex.org/W2061318564","https://openalex.org/W2066165982","https://openalex.org/W2071370477","https://openalex.org/W2077390566","https://openalex.org/W2085007002","https://openalex.org/W2091075804","https://openalex.org/W2093053774","https://openalex.org/W2113442785","https://openalex.org/W2318646743","https://openalex.org/W2328774599","https://openalex.org/W2332916825","https://openalex.org/W2343146666","https://openalex.org/W2496288397","https://openalex.org/W2527531442","https://openalex.org/W2598167488","https://openalex.org/W2737412123","https://openalex.org/W2798741797","https://openalex.org/W2915384890","https://openalex.org/W2961426646","https://openalex.org/W2968458585","https://openalex.org/W2982587061","https://openalex.org/W2999372985","https://openalex.org/W3006840542","https://openalex.org/W3039048643","https://openalex.org/W3086831942","https://openalex.org/W3131145075","https://openalex.org/W3134104027","https://openalex.org/W3136302904","https://openalex.org/W3136950966","https://openalex.org/W3149574172","https://openalex.org/W3154215214","https://openalex.org/W3174280570","https://openalex.org/W4287958724","https://openalex.org/W4292416264","https://openalex.org/W4297839507","https://openalex.org/W4301088184","https://openalex.org/W4313201032","https://openalex.org/W4379208767","https://openalex.org/W4386847723"],"related_works":["https://openalex.org/W4230534566","https://openalex.org/W1992876914","https://openalex.org/W2184586959","https://openalex.org/W2162304341","https://openalex.org/W162769146","https://openalex.org/W2105180757","https://openalex.org/W1567195887","https://openalex.org/W157952102","https://openalex.org/W2471040861","https://openalex.org/W2355050426"],"abstract_inverted_index":{"In":[0],"this":[1,26],"article,":[2],"we":[3,28],"extend":[4],"the":[5,38,51,62,72,79],"popular":[6],"supervised":[7],"learning":[8],"technique":[9],"radial":[10],"basis":[11],"function":[12],"network":[13],"(RBFN)":[14],"for":[15,97],"regression":[16,82,90,99],"modeling":[17],"based":[18],"on":[19],"fuzzy":[20,42,80,86],"responses":[21],"and":[22,44,61,88,92],"exact":[23,45],"predictors.":[24],"For":[25],"purpose,":[27],"suggest":[29],"a":[30],"penalized":[31],"squared":[32],"error":[33],"ridge-based":[34],"method":[35],"to":[36],"estimate":[37],"model":[39,54,83],"components":[40],"including":[41],"parameters":[43],"tuning":[46],"constants.":[47],"The":[48],"performance":[49],"of":[50],"newly":[52],"proposed":[53],"is":[55,64,76],"examined":[56],"via":[57],"established":[58],"goodness-of-fit":[59],"criteria":[60],"effectiveness":[63],"demonstrated":[65],"within":[66],"some":[67],"numerical":[68],"application":[69],"examples.":[70],"Following":[71],"obtained":[73],"results":[74,96],"it":[75],"indicative":[77],"that":[78],"RBFN":[81],"outperforms":[84],"conventional":[85],"nonlinear":[87,98],"multiple":[89],"models":[91],"provides":[93],"more":[94],"accurate":[95],"problems.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}