{"id":"https://openalex.org/W4321372964","doi":"https://doi.org/10.3390/axioms12020222","title":"A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations","display_name":"A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations","publication_year":2023,"publication_date":"2023-02-20","ids":{"openalex":"https://openalex.org/W4321372964","doi":"https://doi.org/10.3390/axioms12020222"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12020222","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12020222","pdf_url":"https://www.mdpi.com/2075-1680/12/2/222/pdf?version=1676883539","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/2/222/pdf?version=1676883539","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072607417","display_name":"F. Abbasi","orcid":"https://orcid.org/0000-0003-4316-151X"},"institutions":[{"id":"https://openalex.org/I4210116557","display_name":"Islamic Azad University of Ayatollah Amoli","ror":"https://ror.org/02arrmv90","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210116557"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fazlollah Abbasi","raw_affiliation_strings":["Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol 46, Iran"],"raw_orcid":"https://orcid.org/0000-0003-4316-151X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol 46, Iran","institution_ids":["https://openalex.org/I4210116557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I4210121333","display_name":"Istinye University","ror":"https://ror.org/03081nz23","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210121333"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Istinye University, Istanbul 34845, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-6673-3560","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Istinye University, Istanbul 34845, Turkey","institution_ids":["https://openalex.org/I4210121333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001270995","display_name":"Muhammad Akram","orcid":"https://orcid.org/0000-0001-7217-7962"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Akram","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073095019"],"corresponding_institution_ids":["https://openalex.org/I4210121333"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2845,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55355191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":"2","first_page":"222","last_page":"222"},"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":0.9972000122070312,"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":0.9927999973297119,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6899459362030029},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6694239377975464},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6681413650512695},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6040648221969604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5364862680435181},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.444665789604187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43542835116386414},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3947919011116028},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34739550948143005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13396412134170532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10585200786590576}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6899459362030029},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6694239377975464},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6681413650512695},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6040648221969604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5364862680435181},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.444665789604187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43542835116386414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3947919011116028},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34739550948143005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13396412134170532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10585200786590576},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12020222","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12020222","pdf_url":"https://www.mdpi.com/2075-1680/12/2/222/pdf?version=1676883539","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:dc99c6fe1282447f927195afe50e2e5f","is_oa":true,"landing_page_url":"https://doaj.org/article/dc99c6fe1282447f927195afe50e2e5f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 2, p 222 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/2/222/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12020222","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12020222","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12020222","pdf_url":"https://www.mdpi.com/2075-1680/12/2/222/pdf?version=1676883539","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4321372964.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1180578182","https://openalex.org/W1597867815","https://openalex.org/W1986562360","https://openalex.org/W1987284538","https://openalex.org/W2004719426","https://openalex.org/W2011938136","https://openalex.org/W2039281646","https://openalex.org/W2047440354","https://openalex.org/W2049785322","https://openalex.org/W2065397160","https://openalex.org/W2065466432","https://openalex.org/W2087735970","https://openalex.org/W2101790703","https://openalex.org/W2113720027","https://openalex.org/W2116039853","https://openalex.org/W2116122702","https://openalex.org/W2189041128","https://openalex.org/W2275615517","https://openalex.org/W2500901024","https://openalex.org/W2526190601","https://openalex.org/W2597466988","https://openalex.org/W2800461082","https://openalex.org/W2985868534","https://openalex.org/W3091073766","https://openalex.org/W3130978304","https://openalex.org/W3175148538","https://openalex.org/W4206097460","https://openalex.org/W4206426842","https://openalex.org/W4245152641","https://openalex.org/W4292289332","https://openalex.org/W4292510730","https://openalex.org/W4297524038","https://openalex.org/W4309374450","https://openalex.org/W4309424586","https://openalex.org/W4321184893","https://openalex.org/W6647259123","https://openalex.org/W6677476645","https://openalex.org/W6723930590","https://openalex.org/W6727885570","https://openalex.org/W6750937466"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W2135528694"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,40,46],"computational":[4],"method":[5,65],"for":[6],"solving":[7],"the":[8,26,30,63],"nonlinear":[9],"equations":[10],"with":[11],"fuzzy":[12,42],"input":[13],"parameters":[14],"that":[15],"we":[16],"encounter":[17],"in":[18,51],"engineering":[19],"system":[20],"analysis.":[21],"In":[22],"addition":[23],"to":[24,61,70],"discussing":[25],"existence":[27],"of":[28,34],"solutions,":[29],"definition":[31],"and":[32,66],"formalization":[33],"numerical":[35,52],"solutions":[36,53],"is":[37,54],"based":[38],"on":[39],"new":[41],"computation":[43],"operation":[44],"as":[45],"transmission":[47],"average.":[48],"Error":[49],"analysis":[50],"described.":[55],"Finally,":[56],"some":[57],"examples":[58],"are":[59],"presented":[60],"implement":[62],"proposed":[64],"its":[67],"effectiveness":[68],"compared":[69],"other":[71],"previous":[72],"methods.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}