{"id":"https://openalex.org/W2959705404","doi":"https://doi.org/10.3233/jifs-182761","title":"Solution of a fuzzy differential equation with interactivity via Laplace transform","display_name":"Solution of a fuzzy differential equation with interactivity via Laplace transform","publication_year":2019,"publication_date":"2019-07-09","ids":{"openalex":"https://openalex.org/W2959705404","doi":"https://doi.org/10.3233/jifs-182761","mag":"2959705404"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-182761","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-182761","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/A5002848497","display_name":"S\u00edlvio Ant\u00f4nio Bueno Salgado","orcid":null},"institutions":[{"id":"https://openalex.org/I23925101","display_name":"Universidade Federal de Alfenas","ror":"https://ror.org/034vpja60","country_code":"BR","type":"education","lineage":["https://openalex.org/I23925101"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Silvio Ant\u00f4nio Bueno Salgado","raw_affiliation_strings":["Institute of Applied Social Sciences, Federal University of Alfenas, Varginha, Minas Gerais, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Social Sciences, Federal University of Alfenas, Varginha, Minas Gerais, Brazil","institution_ids":["https://openalex.org/I23925101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073690771","display_name":"La\u00e9cio Carvalho de Barros","orcid":"https://orcid.org/0000-0003-4322-5974"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"La\u00e9cio Carvalho de Barros","raw_affiliation_strings":["Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030902597","display_name":"Estev\u00e3o Esmi","orcid":"https://orcid.org/0000-0001-6719-678X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Estev\u00e3o Esmi","raw_affiliation_strings":["Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030263258","display_name":"Daniel Eduardo S\u00e1nchez","orcid":"https://orcid.org/0000-0003-4660-5884"},"institutions":[{"id":"https://openalex.org/I4210133677","display_name":"Patagonian Ecosystems Investigation Research Center","ror":"https://ror.org/03tmyej96","country_code":"CL","type":"facility","lineage":["https://openalex.org/I4210133677"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Daniel Eduardo S\u00e1nchez","raw_affiliation_strings":["Patagonia Campus, University Austral of Chile, Coyhaique, Ays\u00e9n, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Patagonia Campus, University Austral of Chile, Coyhaique, Ays\u00e9n, Chile","institution_ids":["https://openalex.org/I4210133677"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002848497"],"corresponding_institution_ids":["https://openalex.org/I23925101"],"apc_list":null,"apc_paid":null,"fwci":1.4307,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8363801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"37","issue":"2","first_page":"2495","last_page":"2501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7882640361785889},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7449724674224854},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6292832493782043},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4932536482810974},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4712790846824646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44739899039268494},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4431791305541992},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.4389728605747223},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3010709881782532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17954012751579285},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0836411714553833}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7882640361785889},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7449724674224854},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6292832493782043},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4932536482810974},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4712790846824646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44739899039268494},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4431791305541992},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.4389728605747223},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3010709881782532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17954012751579285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0836411714553833}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-182761","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-182761","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1487359644","https://openalex.org/W1928951487","https://openalex.org/W1996354430","https://openalex.org/W2022135193","https://openalex.org/W2026093306","https://openalex.org/W2063118777","https://openalex.org/W2076628063","https://openalex.org/W2089954894","https://openalex.org/W2139123471","https://openalex.org/W2336761277","https://openalex.org/W2518951547"],"related_works":["https://openalex.org/W3148881609","https://openalex.org/W2041486430","https://openalex.org/W963546583","https://openalex.org/W1486684451","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361273540","https://openalex.org/W4361984403","https://openalex.org/W4317826560","https://openalex.org/W2037204329"],"abstract_inverted_index":{"In":[0,86],"this":[1,88,107,115],"paper,":[2],"we":[3,35,110],"consider":[4],"a":[5,13,22,44,98,112,118],"type":[6],"of":[7,16],"fuzzy":[8,32,53,119],"harmonic":[9],"oscillator":[10],"described":[11],"by":[12,31],"differential":[14],"equation":[15],"the":[17,93],"form":[18],"x":[19,24,38,46,95,100],"\u2033":[20,39,96],"+":[21,97],"2":[23,45,99],"=":[25,101],"0":[26,102],"with":[27],"initial":[28],"conditions":[29],"given":[30],"numbers.":[33],"Here,":[34],"assume":[36],"that":[37],"(":[40,47],"t":[41,48],")":[42,49],"and":[43,68],"are":[50],"linearly":[51],"correlated":[52],"numbers":[54],"for":[55,92,114],"<mml:math":[56,69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,70],"overflow=\"scroll\">":[58,71],"<mml:mi>t</mml:mi>":[59],"<mml:mo>\u2208</mml:mo>":[60,73],"<mml:mrow>":[61,74],"<mml:mstyle":[62,75],"mathvariant=\"double-struck\">":[63,76],"<mml:mi>\u211d</mml:mi>":[64,77],"</mml:mstyle>":[65,78],"</mml:mrow>":[66,79],"</mml:math>":[67,84],"<mml:mi>a</mml:mi>":[72,81],"<mml:mo>,</mml:mo>":[80],"<mml:mo>\u2260</mml:mo>":[82],"<mml:mn>0</mml:mn>":[83],".":[85],"general,":[87],"assumption":[89],"is":[90],"necessary":[91],"equality":[94],"to":[103],"make":[104],"sense.":[105],"Using":[106],"interactive":[108],"relation,":[109],"obtain":[111],"solution":[113],"problem":[116],"using":[117],"Laplace":[120],"transform":[121],"method.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}