{"id":"https://openalex.org/W6902435267","doi":"https://doi.org/10.71602/tfss.2025.1189025","title":"Comparison Between Fuzzy Number Sequences via Interactive Arithmetic J0 and Standard Arithmetic","display_name":"Comparison Between Fuzzy Number Sequences via Interactive Arithmetic J0 and Standard Arithmetic","publication_year":2024,"publication_date":"2024-10-31","ids":{"openalex":"https://openalex.org/W6902435267","doi":"https://doi.org/10.71602/tfss.2025.1189025"},"language":"en","primary_location":{"id":"doi:10.71602/tfss.2025.1189025","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2025.1189025","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.71602/tfss.2025.1189025","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Francisco Wasques, Vin\u0131`cius","orcid":"https://orcid.org/0000-0002-0965-0654"},"institutions":[{"id":"https://openalex.org/I4210152696","display_name":"Brazilian Center for Research in Energy and Materials","ror":"https://ror.org/05m235j20","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210151455","https://openalex.org/I4210152696"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Francisco Wasques, Vin\u0131`cius","raw_affiliation_strings":["Ilum School of Science, Brazilian Center for Research in Energy and Materials, Campinas, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-0965-0654","affiliations":[{"raw_affiliation_string":"Ilum School of Science, Brazilian Center for Research in Energy and Materials, Campinas, Brazil","institution_ids":["https://openalex.org/I4210152696"]}]},{"author_position":"last","author":{"id":null,"display_name":"de Jesus Biscaia Pinto, Nilmara","orcid":"https://orcid.org/0000-0003-0442-9536"},"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":"de Jesus Biscaia Pinto, Nilmara","raw_affiliation_strings":["Faculty of Applied Sciences, University of Campinas, Limeira, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-0442-9536","affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, University of Campinas, Limeira, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210152696"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32925566,"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":true,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.965499997138977,"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":0.965499997138977,"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":0.006200000178068876,"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":0.0032999999821186066,"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/interactivity","display_name":"Interactivity","score":0.7488999962806702},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6559000015258789},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5940999984741211},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.49559998512268066},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45190000534057617},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44830000400543213},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4244999885559082},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4083999991416931}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7591999769210815},{"id":"https://openalex.org/C144430266","wikidata":"https://www.wikidata.org/wiki/Q839721","display_name":"Interactivity","level":2,"score":0.7488999962806702},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6697999835014343},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6559000015258789},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5940999984741211},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.49559998512268066},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45190000534057617},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44830000400543213},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4244999885559082},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4083999991416931},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.3944999873638153},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.3831999897956848},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38179999589920044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35030001401901245},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.34439998865127563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34220001101493835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33730000257492065},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.32589998841285706},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3239000141620636},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.3034999966621399},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.26440000534057617}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.71602/tfss.2025.1189025","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2025.1189025","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.71602/tfss.2025.1189025","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2025.1189025","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"score":0.5573670864105225,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,13],"focus":[1],"of":[2,9,21,30,38,51,60,63,86,97],"this":[3,26,84],"work":[4],"is":[5,16,33,67],"to":[6,35,83,93,103],"study":[7],"sequences":[8,108],"interactive":[10,64],"fuzzy":[11,55,65,87,112],"numbers.":[12],"interactivity":[14,31,52],"relation":[15],"associated":[17],"with":[18,106],"the":[19,28,45,54,61,74,79,95,98,107],"concept":[20],"joint":[22,39],"possibility":[23,40],"distribution.":[24],"In":[25],"case,":[27],"type":[29,85],"studied":[32],"linked":[34],"a":[36,70],"family":[37],"distributions":[41],"(J\u03b3),":[42],"in":[43,78],"which":[44],"parameter":[46],"\u03b3":[47],"intrinsically":[48],"models":[49],"levels":[50],"between":[53],"numbers":[56,66],"involved.":[57],"Each":[58],"element":[59],"sequence":[62],"obtained":[68,109],"through":[69],"discrete":[71],"equation,":[72],"and":[73,102],"arithmetic":[75,113],"operations":[76],"present":[77],"equation":[80],"are":[81,91],"extended":[82],"number.":[88],"Some":[89],"simulations":[90],"performed":[92],"illustrate":[94],"behavior":[96],"sequences,":[99],"called":[100],"interactive,":[101],"compare":[104],"them":[105],"by":[110],"other":[111],"operations.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}