{"id":"https://openalex.org/W1597867815","doi":"https://doi.org/10.3233/ifs-2011-0483","title":"An iterative Gauss-Newton method to solve an algebraic fuzzy equation with crisp coefficients","display_name":"An iterative Gauss-Newton method to solve an algebraic fuzzy equation with crisp coefficients","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1597867815","doi":"https://doi.org/10.3233/ifs-2011-0483","mag":"1597867815"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-2011-0483","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-2011-0483","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; 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/A5062119722","display_name":"Majid Amirfakhrian","orcid":"https://orcid.org/0000-0001-9934-6412"},"institutions":[{"id":"https://openalex.org/I41775361","display_name":"Islamic Azad University Central Tehran Branch","ror":"https://ror.org/03a11m818","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I41775361"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Majid Amirfakhrian","raw_affiliation_strings":["Department of Mathematics, Islamic Azad University, Central Tehran Branch, Payambar Complex, Shahrak Gharb, Tehran, Iran. Tel./Fax: +98 (21) 88385773; Email: majiamir@yahoo.com., m_amirfakhrian@iauctb.ac.ir"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamic Azad University, Central Tehran Branch, Payambar Complex, Shahrak Gharb, Tehran, Iran. Tel./Fax: +98 (21) 88385773; Email: majiamir@yahoo.com., m_amirfakhrian@iauctb.ac.ir","institution_ids":["https://openalex.org/I41775361"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062119722"],"corresponding_institution_ids":["https://openalex.org/I41775361"],"apc_list":null,"apc_paid":null,"fwci":0.5475,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67745037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"5,6","first_page":"207","last_page":"216"},"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":0.9911999702453613,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7319153547286987},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6879676580429077},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5316102504730225},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5301207900047302},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.529827892780304},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.49785304069519043},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.48404234647750854},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.46349048614501953},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4451618194580078},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32692962884902954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31540951132774353},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.30671218037605286},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24529913067817688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2112586796283722},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0980260968208313},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08258658647537231},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.05812811851501465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.047249555587768555}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7319153547286987},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6879676580429077},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5316102504730225},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5301207900047302},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.529827892780304},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.49785304069519043},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.48404234647750854},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.46349048614501953},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4451618194580078},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32692962884902954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31540951132774353},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.30671218037605286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24529913067817688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2112586796283722},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0980260968208313},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08258658647537231},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.05812811851501465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.047249555587768555},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-2011-0483","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-2011-0483","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W160824417","https://openalex.org/W1571361236","https://openalex.org/W1592141884","https://openalex.org/W1593443060","https://openalex.org/W1968701102","https://openalex.org/W1974814084","https://openalex.org/W1994178762","https://openalex.org/W1999938187","https://openalex.org/W2007284387","https://openalex.org/W2011938136","https://openalex.org/W2025189552","https://openalex.org/W2025875625","https://openalex.org/W2027220547","https://openalex.org/W2036102558","https://openalex.org/W2069069851","https://openalex.org/W2069608252","https://openalex.org/W2082285982","https://openalex.org/W2082311467","https://openalex.org/W2082322703","https://openalex.org/W2087735970","https://openalex.org/W2088288440","https://openalex.org/W2116039853","https://openalex.org/W2144873543","https://openalex.org/W2163982943"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2013411692","https://openalex.org/W2360515974","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361273540","https://openalex.org/W2354779554","https://openalex.org/W2084894190","https://openalex.org/W4361984403","https://openalex.org/W4317826560"],"abstract_inverted_index":{"In":[0],"this":[1],"research":[2],"an":[3,21],"algebraic":[4],"fuzzy":[5,14,27],"equation":[6],"of":[7,29],"degree":[8],"n":[9],"with":[10],"crisp":[11],"coefficients":[12],"and":[13,19],"variable":[15],"has":[16,35],"been":[17,36],"introduced":[18],"presented":[20,37],"iterative":[22],"method":[23],"to":[24,38],"find":[25],"the":[26],"roots":[28],"it,":[30],"numerically.":[31],"An":[32],"algorithm":[33],"also":[34],"generate":[39],"a":[40],"s":[41]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
