{"id":"https://openalex.org/W2552870314","doi":"https://doi.org/10.1109/fuzz-ieee.2016.7737860","title":"Controlling the width of the sum of interactive fuzzy numbers with applications to fuzzy initial value problems","display_name":"Controlling the width of the sum of interactive fuzzy numbers with applications to fuzzy initial value problems","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2552870314","doi":"https://doi.org/10.1109/fuzz-ieee.2016.7737860","mag":"2552870314"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2016.7737860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2016.7737860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 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/A5078829305","display_name":"Peter Sussner","orcid":"https://orcid.org/0000-0002-8457-7127"},"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":true,"raw_author_name":"Peter Sussner","raw_affiliation_strings":["Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Campinas, Campinas, SP, 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":"Estevao Esmi","raw_affiliation_strings":["Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","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":"Laecio C. Barros","raw_affiliation_strings":["Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078829305"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":2.8724,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91643731,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1453","last_page":"1460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9983999729156494,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9873999953269958,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.7302098274230957},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5799559950828552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5544992089271545},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5207476615905762},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4544610381126404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3725043535232544},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3073907196521759},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15136483311653137}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7302098274230957},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5799559950828552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5544992089271545},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5207476615905762},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4544610381126404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3725043535232544},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3073907196521759},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15136483311653137}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2016.7737860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2016.7737860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 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":22,"referenced_works":["https://openalex.org/W47373849","https://openalex.org/W565587792","https://openalex.org/W657218221","https://openalex.org/W1485567977","https://openalex.org/W1540478229","https://openalex.org/W1898259180","https://openalex.org/W1928951487","https://openalex.org/W1979756370","https://openalex.org/W1984486609","https://openalex.org/W1997679081","https://openalex.org/W2031188383","https://openalex.org/W2157041604","https://openalex.org/W2172777039","https://openalex.org/W2480422823","https://openalex.org/W2912565176","https://openalex.org/W4205471131","https://openalex.org/W4211007335","https://openalex.org/W4214637188","https://openalex.org/W4234672050","https://openalex.org/W4245152641","https://openalex.org/W4249849247","https://openalex.org/W4289127527"],"related_works":["https://openalex.org/W2160831542","https://openalex.org/W2545016305","https://openalex.org/W2061828243","https://openalex.org/W2096484026","https://openalex.org/W2063980661","https://openalex.org/W2134826631","https://openalex.org/W2328704566","https://openalex.org/W4206073564","https://openalex.org/W2132685025","https://openalex.org/W3090269606"],"abstract_inverted_index":{"Arithmetic":[0],"operations":[1],"on":[2,66],"fuzzy":[3,20,59,106],"numbers":[4,60],"are":[5],"usually":[6],"performed":[7],"using":[8,61],"Zadeh's":[9],"extension":[10,63],"principle.":[11],"The":[12],"amount":[13],"of":[14,30,70,98,101,105],"uncertainty":[15,31,90],"expressed":[16],"in":[17,32,81],"the":[18,28,33,50,89,93,96,99,102],"resulting":[19,103],"number":[21],"tends":[22],"to":[23,83],"be":[24],"much":[25],"higher":[26],"than":[27],"amounts":[29],"operands.":[34,51],"This":[35],"effect":[36],"is":[37,47],"often":[38],"undesired":[39],"and":[40],"does":[41],"not":[42],"reflect":[43],"reality":[44],"if":[45],"there":[46],"interactivity":[48],"between":[49],"We":[52],"recently":[53],"presented":[54],"an":[55,62],"approach":[56,80],"for":[57,87],"adding":[58],"principle":[64],"based":[65],"a":[67,85],"parametrized":[68],"family":[69],"joint":[71],"possibility":[72],"distributions.":[73],"In":[74],"this":[75,79],"paper,":[76],"we":[77],"employ":[78],"order":[82],"derive":[84],"method":[86],"controlling":[88],"given":[91],"by":[92],"width,":[94],"i.e.,":[95],"length":[97],"support,":[100],"sum":[104],"numbers.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}