{"id":"https://openalex.org/W3107125724","doi":"https://doi.org/10.3233/faia200771","title":"Solving a Fuzzy Linear Equation with a Variable, Using the Expected Interval of a Fuzzy Number","display_name":"Solving a Fuzzy Linear Equation with a Variable, Using the Expected Interval of a Fuzzy Number","publication_year":2020,"publication_date":"2020-12-02","ids":{"openalex":"https://openalex.org/W3107125724","doi":"https://doi.org/10.3233/faia200771","mag":"3107125724"},"language":"en","primary_location":{"id":"doi:10.3233/faia200771","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200771","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200771","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200771","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074041496","display_name":"Richard Abramonte","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":true,"raw_author_name":"Richard Abramonte","raw_affiliation_strings":["Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051496924","display_name":"Eder Escobar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Eder Escobar","raw_affiliation_strings":["Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113571344","display_name":"Antenor Aliaga","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Antenor Aliaga","raw_affiliation_strings":["Department of Electronics, Universidad Nacional De Piura, Piura, Per\u00fa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Universidad Nacional De Piura, Piura, Per\u00fa","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011890316","display_name":"Flabio Guti\u00e9rrez","orcid":"https://orcid.org/0000-0003-0372-3864"},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Flabio Gutierrez","raw_affiliation_strings":["Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidad Nacional De Piura, Piura, Per\u00fa","institution_ids":["https://openalex.org/I4210132058"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074041496"],"corresponding_institution_ids":["https://openalex.org/I4210132058"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25420561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9496999979019165,"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":0.9496999979019165,"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":0.9085999727249146,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9049000144004822,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.798151433467865},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7265216708183289},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.623724102973938},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5544494986534119},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5338825583457947},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5100570321083069},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4671249985694885},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43593108654022217},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4276530146598816},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4161534905433655},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.41173070669174194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3044185936450958},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13203880190849304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1318950057029724},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11144039034843445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04770982265472412}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.798151433467865},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7265216708183289},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.623724102973938},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5544494986534119},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5338825583457947},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5100570321083069},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4671249985694885},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43593108654022217},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4276530146598816},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4161534905433655},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.41173070669174194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3044185936450958},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13203880190849304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1318950057029724},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11144039034843445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04770982265472412},{"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:10.3233/faia200771","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200771","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200771","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia200771","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200771","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200771","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3107125724.pdf","grobid_xml":"https://content.openalex.org/works/W3107125724.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W208603259","https://openalex.org/W1502546529","https://openalex.org/W1565721189","https://openalex.org/W1964682347","https://openalex.org/W2030626585","https://openalex.org/W2034739697","https://openalex.org/W2058445758","https://openalex.org/W2086268401","https://openalex.org/W2162242938","https://openalex.org/W2506326391","https://openalex.org/W4249849247"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W2116249946","https://openalex.org/W61142258","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W2013124077","https://openalex.org/W4361984403","https://openalex.org/W2184195251","https://openalex.org/W2077436951"],"abstract_inverted_index":{"In":[0],"this":[1,28],"work,":[2],"a":[3,63,66,92,109],"fuzzy":[4,145],"linear":[5,146],"equation":[6],"AX":[7],"+":[8],"B":[9,16],"=":[10],"0,":[11],"is":[12,49,68,125],"solved,":[13],"were":[14],"A,":[15],"y":[17],"C":[18],"are":[19,33,119],"triangular":[20],"diffuse":[21],"numbers,":[22],"could":[23],"also":[24,105],"be":[25,122],"trapezoidal.":[26],"For":[27],"type":[29],"of":[30,52,131,134,144],"equations":[31,147],"there":[32],"several":[34],"solution":[35,76],"methods,":[36],"the":[37,46,50,75,80,86,97,103,113,129,132,135,139],"classic":[38],"method":[39,51,84],"that":[40,58],"does":[41],"not":[42],"always":[43,61],"obtain":[44,91],"solutions,":[45],"most":[47],"used":[48],"alpha":[53],"cuts":[54],"and":[55],"arithmetic":[56],"intervals":[57],"although":[59],"it":[60],"finds":[62],"solution,":[64],"as":[65],"value":[67],"taken":[69],"closer":[70,100],"to":[71,79,90,101,107,121,127,141],"zero":[72],"(more":[73],"inaccurate),":[74],"satisfies":[77],"less":[78],"equation.":[81],"The":[82],"new":[83],"using":[85],"expected":[87,120,136],"interval,":[88],"allows":[89,106],"smaller":[93],"support":[94],"set":[95],"where":[96,112],"solutions":[98,115],"come":[99],"satisfying":[102],"equation,":[104],"find":[108],"single":[110],"interval":[111,137],"best":[114],"for":[116],"decision":[117],"making":[118],"found.":[123],"It":[124],"recommended":[126],"study":[128],"incorporation":[130],"concept":[133],"in":[138],"methods":[140],"solve":[142],"systems":[143]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}