{"id":"https://openalex.org/W2159583494","doi":"https://doi.org/10.1109/fuzz.2002.1005098","title":"Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules","display_name":"Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2159583494","doi":"https://doi.org/10.1109/fuzz.2002.1005098","mag":"2159583494"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2002.1005098","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2002.1005098","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291)","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/A5046625768","display_name":"J\u00e1nos Botzheim","orcid":"https://orcid.org/0000-0002-7838-6148"},"institutions":[{"id":"https://openalex.org/I3131446353","display_name":"Andr\u00e1ssy University Budapest","ror":"https://ror.org/05xezqk59","country_code":"HU","type":"education","lineage":["https://openalex.org/I3131446353"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"J. Botzheim","raw_affiliation_strings":["Department of Telecommunication and Telematics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Telecommunication and Telematics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary","institution_ids":["https://openalex.org/I3131446353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020781131","display_name":"L\u00e1szl\u00f3 T. K\u00f3czy","orcid":"https://orcid.org/0000-0003-1316-4832"},"institutions":[{"id":"https://openalex.org/I3131446353","display_name":"Andr\u00e1ssy University Budapest","ror":"https://ror.org/05xezqk59","country_code":"HU","type":"education","lineage":["https://openalex.org/I3131446353"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"L.T. Koczy","raw_affiliation_strings":["Department of Telecommunication and Telematics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Telecommunication and Telematics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary","institution_ids":["https://openalex.org/I3131446353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005230789","display_name":"A.E. Ruano","orcid":"https://orcid.org/0000-0002-6308-8666"},"institutions":[{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A.E. Ruano","raw_affiliation_strings":["Department of Electronic Engineering and Computing, Faculty of Sciences e Technology, University of Algarve, Faro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering and Computing, Faculty of Sciences e Technology, University of Algarve, Faro, Portugal","institution_ids":["https://openalex.org/I71503853"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046625768"],"corresponding_institution_ids":["https://openalex.org/I3131446353"],"apc_list":null,"apc_paid":null,"fwci":0.468,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76456158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"815","last_page":"819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.996999979019165,"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":0.9728999733924866,"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/levenberg\u2013marquardt-algorithm","display_name":"Levenberg\u2013Marquardt algorithm","score":0.6574826240539551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6286053657531738},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5972539782524109},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5802874565124512},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.5744332075119019},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5556478500366211},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5306771397590637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.477994829416275},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.43865299224853516},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.40651658177375793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39639535546302795},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.34869733452796936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26593467593193054}],"concepts":[{"id":"https://openalex.org/C87578567","wikidata":"https://www.wikidata.org/wiki/Q1426494","display_name":"Levenberg\u2013Marquardt algorithm","level":3,"score":0.6574826240539551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6286053657531738},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5972539782524109},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5802874565124512},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.5744332075119019},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5556478500366211},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5306771397590637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.477994829416275},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.43865299224853516},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.40651658177375793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39639535546302795},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.34869733452796936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26593467593193054},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz.2002.1005098","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2002.1005098","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291)","raw_type":"proceedings-article"},{"id":"pmh:oai:sapientia.ualg.pt:10400.1/2300","is_oa":false,"landing_page_url":"http://hdl.handle.net/10400.1/2300","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference object"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1485567977","https://openalex.org/W1492468531","https://openalex.org/W1573503290","https://openalex.org/W2041280856","https://openalex.org/W2087070363","https://openalex.org/W2090253970","https://openalex.org/W2099703691","https://openalex.org/W2113076747","https://openalex.org/W2159265133","https://openalex.org/W3121926921"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W1596838019","https://openalex.org/W3182827720","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W2425308538","https://openalex.org/W1532864123"],"abstract_inverted_index":{"Discusses":[0],"how":[1],"training":[2,19],"algorithms":[3],"for":[4,26],"determining":[5],"membership":[6,63],"functions":[7,64,88],"in":[8],"fuzzy":[9,34],"rule":[10,50],"based":[11],"systems":[12],"can":[13,30,80],"be":[14,31,81],"applied.":[15],"There":[16],"are":[17],"several":[18],"algorithms,":[20],"which":[21],"have":[22],"been":[23],"developed":[24],"initially":[25],"neural":[27],"networks":[28],"and":[29,52,75],"adapted":[32],"to":[33,84],"systems.":[35],"In":[36],"the":[37,39,45,67],"paper":[38],"Levenberg-Marquardt":[40],"algorithm":[41],"is":[42,66,72],"introduced,":[43],"allowing":[44],"determination":[46],"of":[47,62],"an":[48],"optimal":[49],"base":[51],"converging":[53],"faster":[54],"than":[55],"some":[56],"more":[57],"classic":[58],"methods.":[59],"The":[60,78],"class":[61],"investigated":[65],"trapezoidal":[68],"one":[69],"as":[70,89],"it":[71],"general":[73],"enough":[74],"widely":[76],"used.":[77],"method":[79],"easily":[82],"extended":[83],"arbitrary":[85],"piecewise":[86],"linear":[87],"well.":[90]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}