{"id":"https://openalex.org/W1973028373","doi":"https://doi.org/10.1080/00207160701704564","title":"A method for solving<i>n</i>th order fuzzy linear differential equations","display_name":"A method for solving<i>n</i>th order fuzzy linear differential equations","publication_year":2008,"publication_date":"2008-07-15","ids":{"openalex":"https://openalex.org/W1973028373","doi":"https://doi.org/10.1080/00207160701704564","mag":"1973028373"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701704564","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701704564","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"T. Allahviranloo","raw_affiliation_strings":["Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003008208","display_name":"E. Ahmady","orcid":"https://orcid.org/0000-0002-2060-9441"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"E. Ahmady","raw_affiliation_strings":["Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041858361","display_name":"N. Ahmady","orcid":"https://orcid.org/0000-0002-6052-0740"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"N. Ahmady","raw_affiliation_strings":["Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Science and Research Branch Islamic Azad University , Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, \u200eIran","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073095019"],"corresponding_institution_ids":["https://openalex.org/I155419210"],"apc_list":null,"apc_paid":null,"fwci":0.6088,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.6983384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"86","issue":"4","first_page":"730","last_page":"742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9861000180244446,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematics","display_name":"Mathematics","score":0.8597822189331055},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6780493259429932},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5537981986999512},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5148374438285828},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4932238459587097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4504660964012146},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4407113790512085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09161651134490967}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8597822189331055},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6780493259429932},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5537981986999512},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5148374438285828},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4932238459587097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4504660964012146},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4407113790512085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09161651134490967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701704564","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701704564","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":19,"referenced_works":["https://openalex.org/W1965955764","https://openalex.org/W1968525926","https://openalex.org/W1971793887","https://openalex.org/W1985553008","https://openalex.org/W1994178762","https://openalex.org/W1994564996","https://openalex.org/W2003184377","https://openalex.org/W2019917024","https://openalex.org/W2022135193","https://openalex.org/W2039746385","https://openalex.org/W2062148826","https://openalex.org/W2063047919","https://openalex.org/W2076628063","https://openalex.org/W2083466213","https://openalex.org/W2089021392","https://openalex.org/W2092092154","https://openalex.org/W2309511764","https://openalex.org/W2345846021","https://openalex.org/W4254433454"],"related_works":["https://openalex.org/W2165749285","https://openalex.org/W2474979212","https://openalex.org/W2562455930","https://openalex.org/W2001036795","https://openalex.org/W2154748900","https://openalex.org/W3093811938","https://openalex.org/W4390092784","https://openalex.org/W127450631","https://openalex.org/W2062626603","https://openalex.org/W2087351849"],"abstract_inverted_index":{"In":[0,21,44],"this":[1,22],"paper,":[2],"an":[3],"analytic":[4],"method":[5,47],"(eigenvalue\u2013eigenvector":[6],"method)":[7],"for":[8],"solving":[9,51],"nth":[10],"order":[11],"fuzzy":[12,16,42],"differential":[13,38],"equations":[14],"with":[15],"initial":[17],"conditions":[18],"is":[19,32,40,48],"considered.":[20],"method,":[23],"three":[24],"cases":[25],"are":[26],"introduced,":[27],"in":[28],"each":[29],"case,":[30],"it":[31],"shown":[33],"that":[34],"the":[35,46],"solution":[36],"of":[37],"equation":[39],"a":[41],"number.":[43],"addition,":[45],"illustrated":[49],"by":[50],"several":[52],"numerical":[53],"examples.":[54]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
