{"id":"https://openalex.org/W2006178199","doi":"https://doi.org/10.1007/s00607-010-0136-6","title":"A new method for solving fuzzy linear differential equations","display_name":"A new method for solving fuzzy linear differential equations","publication_year":2010,"publication_date":"2010-11-12","ids":{"openalex":"https://openalex.org/W2006178199","doi":"https://doi.org/10.1007/s00607-010-0136-6","mag":"2006178199"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-010-0136-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-010-0136-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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","Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran"],"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":"Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056670112","display_name":"S. Abbasbandy","orcid":"https://orcid.org/0000-0003-3385-4152"},"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":"S. Abbasbandy","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran"],"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":"Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085181870","display_name":"Soheil Salahshour","orcid":"https://orcid.org/0000-0003-1390-3551"},"institutions":[{"id":"https://openalex.org/I4210103000","display_name":"Islamic Azad University Mobarakeh","ror":"https://ror.org/01a3xr262","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210103000"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"S. Salahshour","raw_affiliation_strings":["Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran","Islamic Azad University, Department of Mathematics, Mobarakeh Branch, Mobarakeh, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran","institution_ids":["https://openalex.org/I4210103000"]},{"raw_affiliation_string":"Islamic Azad University, Department of Mathematics, Mobarakeh Branch, Mobarakeh, Iran#TAB#","institution_ids":["https://openalex.org/I4210103000"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000844766","display_name":"A. Hakimzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210103000","display_name":"Islamic Azad University Mobarakeh","ror":"https://ror.org/01a3xr262","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210103000"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. Hakimzadeh","raw_affiliation_strings":["Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran","Islamic Azad University, Department of Mathematics, Mobarakeh Branch, Mobarakeh, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran","institution_ids":["https://openalex.org/I4210103000"]},{"raw_affiliation_string":"Islamic Azad University, Department of Mathematics, Mobarakeh Branch, Mobarakeh, Iran#TAB#","institution_ids":["https://openalex.org/I4210103000"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073095019","https://openalex.org/A5085181870"],"corresponding_institution_ids":["https://openalex.org/I155419210","https://openalex.org/I4210103000"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.699,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.93791624,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"92","issue":"2","first_page":"181","last_page":"197"},"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":0.9857000112533569,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7905794382095337},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5422500371932983},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5228136777877808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47097018361091614},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.4517119526863098},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.44917792081832886},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4426419138908386},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4396298825740814},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41917884349823},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4182828664779663},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3950587511062622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.167225182056427},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07837113738059998}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7905794382095337},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5422500371932983},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5228136777877808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47097018361091614},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.4517119526863098},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.44917792081832886},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4426419138908386},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4396298825740814},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41917884349823},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4182828664779663},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3950587511062622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.167225182056427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07837113738059998},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-010-0136-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-010-0136-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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":28,"referenced_works":["https://openalex.org/W1966584330","https://openalex.org/W1968525926","https://openalex.org/W1969835791","https://openalex.org/W1975014225","https://openalex.org/W1977914365","https://openalex.org/W1994123225","https://openalex.org/W1996354430","https://openalex.org/W1997679081","https://openalex.org/W1999080212","https://openalex.org/W1999130530","https://openalex.org/W2000348782","https://openalex.org/W2056258420","https://openalex.org/W2062854311","https://openalex.org/W2063047919","https://openalex.org/W2066084209","https://openalex.org/W2066561313","https://openalex.org/W2066805416","https://openalex.org/W2070545443","https://openalex.org/W2076628063","https://openalex.org/W2093827652","https://openalex.org/W2094136090","https://openalex.org/W2096768134","https://openalex.org/W2139123471","https://openalex.org/W2282315775","https://openalex.org/W2309511764","https://openalex.org/W2496352033","https://openalex.org/W2996456176","https://openalex.org/W4214831569"],"related_works":["https://openalex.org/W2083836824","https://openalex.org/W2366623270","https://openalex.org/W1994109492","https://openalex.org/W2354707169","https://openalex.org/W2800645877","https://openalex.org/W2047415767","https://openalex.org/W2992022976","https://openalex.org/W2120181059","https://openalex.org/W4317927784","https://openalex.org/W2778008512"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}