{"id":"https://openalex.org/W4307873653","doi":"https://doi.org/10.3233/faia220395","title":"Fuzzy Henstock-\u0394-Integral on Time Scales and Its Application","display_name":"Fuzzy Henstock-\u0394-Integral on Time Scales and Its Application","publication_year":2022,"publication_date":"2022-10-18","ids":{"openalex":"https://openalex.org/W4307873653","doi":"https://doi.org/10.3233/faia220395"},"language":"en","primary_location":{"id":"doi:10.3233/faia220395","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220395","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220395","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/FAIA220395","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100759153","display_name":"Yubing Li","orcid":"https://orcid.org/0000-0001-5331-7392"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yubing Li","raw_affiliation_strings":["School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078517869","display_name":"Yabin Shao","orcid":"https://orcid.org/0000-0003-1001-7132"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yabin Shao","raw_affiliation_strings":["School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057608131","display_name":"Zengtai Gong","orcid":"https://orcid.org/0000-0001-5878-1506"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengtai Gong","raw_affiliation_strings":["School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078517869"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.48639826,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9941999912261963,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9941999912261963,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9921000003814697,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9866999983787537,"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/mathematics","display_name":"Mathematics","score":0.728914737701416},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7047871351242065},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.6771027445793152},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6424789428710938},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5116396546363831},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.48407498002052307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40587639808654785},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3557053804397583},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.3016229569911957},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.21428972482681274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1607443392276764},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06083625555038452},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.04870575666427612}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.728914737701416},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7047871351242065},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.6771027445793152},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6424789428710938},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5116396546363831},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.48407498002052307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40587639808654785},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3557053804397583},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.3016229569911957},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.21428972482681274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1607443392276764},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06083625555038452},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04870575666427612},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia220395","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220395","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220395","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/faia220395","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220395","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220395","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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307873653.pdf","grobid_xml":"https://content.openalex.org/works/W4307873653.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W173698722","https://openalex.org/W271810198","https://openalex.org/W1995123739","https://openalex.org/W2013627484","https://openalex.org/W2031701764","https://openalex.org/W2038354216","https://openalex.org/W2066397800","https://openalex.org/W2105640560","https://openalex.org/W2112815753","https://openalex.org/W2183971375","https://openalex.org/W2330022088","https://openalex.org/W2477431916","https://openalex.org/W2742321834","https://openalex.org/W2912930246","https://openalex.org/W4244058206","https://openalex.org/W6676795520"],"related_works":["https://openalex.org/W2152639368","https://openalex.org/W1879742910","https://openalex.org/W3049648340","https://openalex.org/W2049995963","https://openalex.org/W2135117476","https://openalex.org/W2136586961","https://openalex.org/W2388278723","https://openalex.org/W1514480137","https://openalex.org/W2536760403","https://openalex.org/W4306989284"],"abstract_inverted_index":{"In":[0],"this":[1,24,41],"paper,":[2],"we":[3,18,31],"define":[4],"the":[5,37],"fuzzy":[6,9,44],"Henstock-\u0394-integral":[7],"and":[8],"\u0394-derivative":[10],"on":[11],"time":[12],"scales(or":[13],"briefly":[14],"FH-\u0394-integral,":[15],"\u0394-derivative).":[16],"Then,":[17],"give":[19],"some":[20],"convergence":[21],"theorems":[22],"for":[23,40],"kind":[25,42],"of":[26,36,43],"nonabsolute":[27],"convergent":[28],"integrals.":[29],"Finally,":[30],"obtain":[32],"an":[33],"existence":[34],"theorem":[35],"global":[38],"solutions":[39],"generalized":[45],"differential":[46],"systems.":[47]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
