{"id":"https://openalex.org/W2153338257","doi":"https://doi.org/10.1109/fuzzy.2004.1375431","title":"Estimating fuzzy membership functions parameters by the Levenberg-Marquardt algorithm","display_name":"Estimating fuzzy membership functions parameters by the Levenberg-Marquardt algorithm","publication_year":2005,"publication_date":"2005-02-22","ids":{"openalex":"https://openalex.org/W2153338257","doi":"https://doi.org/10.1109/fuzzy.2004.1375431","mag":"2153338257"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2004.1375431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375431","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","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 Media informatics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Telecommunication and Media informatics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary","institution_ids":["https://openalex.org/I3131446353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060361446","display_name":"Cristiano Cabrita","orcid":"https://orcid.org/0000-0003-4946-0465"},"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":"C. Cabrita","raw_affiliation_strings":["Centre for Intelligent Systems, University of Algarve, Portugal"],"affiliations":[{"raw_affiliation_string":"Centre for Intelligent Systems, University of Algarve, Portugal","institution_ids":["https://openalex.org/I71503853"]}]},{"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"]},{"id":"https://openalex.org/I83579964","display_name":"Sz\u00e9chenyi Istv\u00e1n University","ror":"https://ror.org/04091f946","country_code":"HU","type":"education","lineage":["https://openalex.org/I83579964"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"L.T. Koczy","raw_affiliation_strings":["Department of Telecommunication and Media informatics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary","Institute of Information Technology and Electrical Engineering, Sz\u00e9chenyi Istv\u00e1n University, Gyor, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Telecommunication and Media informatics, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Hungary","institution_ids":["https://openalex.org/I3131446353"]},{"raw_affiliation_string":"Institute of Information Technology and Electrical Engineering, Sz\u00e9chenyi Istv\u00e1n University, Gyor, Hungary","institution_ids":["https://openalex.org/I83579964"]}]},{"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":["Centre for Intelligent Systems, University of Algarve, Portugal"],"affiliations":[{"raw_affiliation_string":"Centre for Intelligent Systems, University of Algarve, Portugal","institution_ids":["https://openalex.org/I71503853"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046625768"],"corresponding_institution_ids":["https://openalex.org/I3131446353"],"apc_list":null,"apc_paid":null,"fwci":5.942,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96152837,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"3","issue":null,"first_page":"1667","last_page":"1672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9891999959945679,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/levenberg\u2013marquardt-algorithm","display_name":"Levenberg\u2013Marquardt algorithm","score":0.799445390701294},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5764451026916504},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5683212876319885},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.549316942691803},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5283563733100891},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5227989554405212},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5116122364997864},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.47583460807800293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4707525372505188},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4405120313167572},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4383404552936554},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.41851726174354553},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4149935245513916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3927270770072937},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.35592877864837646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3351393938064575},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3236284852027893},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11157682538032532}],"concepts":[{"id":"https://openalex.org/C87578567","wikidata":"https://www.wikidata.org/wiki/Q1426494","display_name":"Levenberg\u2013Marquardt algorithm","level":3,"score":0.799445390701294},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5764451026916504},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5683212876319885},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.549316942691803},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5283563733100891},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5227989554405212},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5116122364997864},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.47583460807800293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4707525372505188},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4405120313167572},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4383404552936554},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.41851726174354553},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4149935245513916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3927270770072937},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.35592877864837646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3351393938064575},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3236284852027893},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11157682538032532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/fuzzy.2004.1375431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375431","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","raw_type":"proceedings-article"},{"id":"pmh:oai:sapientia.ualg.pt:10400.1/2263","is_oa":false,"landing_page_url":"http://hdl.handle.net/10400.1/2263","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"},{"id":"pmh:oai:sapientia.ualg.pt:10400.1/49","is_oa":false,"landing_page_url":"http://hdl.handle.net/10400.1/49","pdf_url":null,"source":{"id":"https://openalex.org/S4306401952","display_name":"Sapientia (Algarve University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71503853","host_organization_name":"University of Algarve","host_organization_lineage":["https://openalex.org/I71503853"],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1573503290","https://openalex.org/W2027133307","https://openalex.org/W2087070363","https://openalex.org/W2159583494","https://openalex.org/W3121926921","https://openalex.org/W7064367692"],"related_works":["https://openalex.org/W154406135","https://openalex.org/W3107001035","https://openalex.org/W1487720066","https://openalex.org/W3186561448","https://openalex.org/W2674573885","https://openalex.org/W2781808531","https://openalex.org/W3207735076","https://openalex.org/W2185359781","https://openalex.org/W1975005191","https://openalex.org/W4361984403"],"abstract_inverted_index":{"In":[0,39],"previous":[1],"papers":[2],"from":[3,20],"the":[4,42,49,53,65],"authors":[5],"fuzzy":[6,17,37,54],"model":[7],"identification":[8],"methods":[9],"were":[10],"discussed.":[11],"The":[12,26,58,76],"bacterial":[13],"algorithm":[14,28],"for":[15,32],"extracting":[16],"rule":[18],"base":[19],"a":[21],"training":[22],"set":[23],"was":[24,29],"presented.":[25],"Levenberg-Marquardt":[27,43],"also":[30],"proposed":[31],"determining":[33],"membership":[34,50,61],"functions":[35,51,62,86],"in":[36,52],"systems.":[38],"this":[40],"paper":[41],"technique":[44],"is":[45,64,70],"improved":[46],"to":[47,82],"optimise":[48],"rules":[55],"without":[56],"Ruspini-partition.":[57],"class":[59],"of":[60],"investigated":[63],"trapezoidal":[66],"one":[67],"as":[68,87],"it":[69],"general":[71],"enough":[72],"and":[73],"widely":[74],"used.":[75],"method":[77],"can":[78],"be":[79],"easily":[80],"extended":[81],"arbitrary":[83],"piecewise":[84],"linear":[85],"well.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}