{"id":"https://openalex.org/W2897619997","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491465","title":"Higher Order Initial Value Problem with Interactive Fuzzy Conditions","display_name":"Higher Order Initial Value Problem with Interactive Fuzzy Conditions","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2897619997","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491465","mag":"2897619997"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2018.8491465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/A5021468010","display_name":"Vin\u00edcius Francisco Wasques","orcid":"https://orcid.org/0000-0002-0965-0654"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"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","CZ"],"is_corresponding":true,"raw_author_name":"Vinicius Francisco Wasques","raw_affiliation_strings":["Institute of Mathematics, University of Campinas, S\u00e3o Paulo"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas, S\u00e3o Paulo","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088742446","display_name":"Est\u00eav\u00e3o Esmi Laureano","orcid":null},"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"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["BR","CZ"],"is_corresponding":false,"raw_author_name":"Estevao Esmi Laureano","raw_affiliation_strings":["Institute of Mathematics, University of Campinas, S\u00e3o Paulo"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas, S\u00e3o Paulo","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I181391015"]}]},{"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"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["BR","CZ"],"is_corresponding":false,"raw_author_name":"Laecio Carvalho de Barros","raw_affiliation_strings":["Institute of Mathematics, University of Campinas, S\u00e3o Paulo"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas, S\u00e3o Paulo","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077298421","display_name":"Francielle Santo Pedro","orcid":"https://orcid.org/0000-0001-5177-563X"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"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","CZ"],"is_corresponding":false,"raw_author_name":"Francielle Santo Pedro","raw_affiliation_strings":["Institute of Mathematics, University of Campinas, S\u00e3o Paulo"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas, S\u00e3o Paulo","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078829305","display_name":"Peter Sussner","orcid":"https://orcid.org/0000-0002-8457-7127"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"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","CZ"],"is_corresponding":false,"raw_author_name":"Peter Sussner","raw_affiliation_strings":["Institute of Mathematics, University of Campinas, S\u00e3o Paulo"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas, S\u00e3o Paulo","institution_ids":["https://openalex.org/I4210120266","https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5021468010"],"corresponding_institution_ids":["https://openalex.org/I181391015","https://openalex.org/I4210120266"],"apc_list":null,"apc_paid":null,"fwci":3.0817,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93120542,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9805999994277954,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.97079998254776,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6747329235076904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6523104310035706},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.6455049514770508},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5856539011001587},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5806488394737244},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5305365324020386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5261775255203247},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4808293581008911},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42933568358421326},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4225972592830658},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42137789726257324},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.41266143321990967},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36874905228614807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16902443766593933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1563607156276703},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06427812576293945},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06248784065246582}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6747329235076904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6523104310035706},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.6455049514770508},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5856539011001587},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5806488394737244},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5305365324020386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5261775255203247},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4808293581008911},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42933568358421326},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4225972592830658},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42137789726257324},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.41266143321990967},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36874905228614807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16902443766593933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1563607156276703},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06427812576293945},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06248784065246582},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2018.8491465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W565587792","https://openalex.org/W1542883383","https://openalex.org/W1549251788","https://openalex.org/W1588906117","https://openalex.org/W1928951487","https://openalex.org/W1965955764","https://openalex.org/W1979756370","https://openalex.org/W1984486609","https://openalex.org/W1992715298","https://openalex.org/W2000858889","https://openalex.org/W2031188383","https://openalex.org/W2084584651","https://openalex.org/W2089624753","https://openalex.org/W2157041604","https://openalex.org/W2172777039","https://openalex.org/W2321919917","https://openalex.org/W2336761277","https://openalex.org/W2344961817","https://openalex.org/W2480422823","https://openalex.org/W2518951547","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W4249849247","https://openalex.org/W6704876996"],"related_works":["https://openalex.org/W2773005380","https://openalex.org/W4388451300","https://openalex.org/W2060361571","https://openalex.org/W1879432897","https://openalex.org/W2256857057","https://openalex.org/W3167814444","https://openalex.org/W3176863924","https://openalex.org/W2023513928","https://openalex.org/W2182392910","https://openalex.org/W4361984403"],"abstract_inverted_index":{"In":[0,37],"this":[1,52],"manuscript":[2],"we":[3,39,54,70],"deal":[4],"with":[5],"non-homogeneous":[6],"n-th":[7],"order":[8],"linear":[9,58],"differential":[10],"equations":[11],"that":[12,19,28,41,72],"have":[13],"fuzzy":[14,26,48,59],"initial":[15,21,43,60,89],"conditions.":[16],"We":[17],"assume":[18,40],"the":[20,42,66,78],"conditions":[22,44],"are":[23,45],"given":[24],"by":[25,63,84],"numbers":[27],"satisfying":[29],"a":[30],"special":[31],"type":[32],"of":[33,65,74,77],"relationship":[34],"namely":[35],"interactivity.":[36],"particular,":[38],"completely":[46],"correlated":[47],"numbers.":[49],"Based":[50],"on":[51],"notion,":[53],"obtain":[55],"solutions":[56],"for":[57],"value":[61,90],"problems":[62],"means":[64],"extension":[67],"principle.":[68],"Finally,":[69],"show":[71],"endpoints":[73],"each":[75],"\u03b1-level":[76],"proposed":[79],"solution":[80],"can":[81],"be":[82],"determined":[83],"solving":[85],"two":[86],"associated":[87],"classical":[88],"problems.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}