{"id":"https://openalex.org/W4406071308","doi":"https://doi.org/10.1007/s40314-024-03064-z","title":"A novel definition of fuzzy derivatives based on non-increasing and left-continuous fuzzy real numbers","display_name":"A novel definition of fuzzy derivatives based on non-increasing and left-continuous fuzzy real numbers","publication_year":2025,"publication_date":"2025-01-05","ids":{"openalex":"https://openalex.org/W4406071308","doi":"https://doi.org/10.1007/s40314-024-03064-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-03064-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-024-03064-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-024-03064-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-024-03064-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052637428","display_name":"Yu Zhong","orcid":"https://orcid.org/0000-0002-9559-5064"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Zhong","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027690972","display_name":"Xin Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I3020662980","display_name":"Jinyintan Hospital","ror":"https://ror.org/038p1ty61","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I3020662980"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Wu","raw_affiliation_strings":["Jinyinhu High School, Wuhan, 430048, People\u2019s Republic of China","Jinyinhu High School, Wuhan, 430048, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jinyinhu High School, Wuhan, 430048, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3020662980"]},{"raw_affiliation_string":"Jinyinhu High School, Wuhan, 430048, People's Republic of China","institution_ids":["https://openalex.org/I3020662980"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100377251","display_name":"Meng Wang","orcid":"https://orcid.org/0000-0003-4344-8828"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhen Wang","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, China","institution_ids":["https://openalex.org/I1456306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052637428"],"corresponding_institution_ids":["https://openalex.org/I1456306"],"apc_list":null,"apc_paid":null,"fwci":1.5573,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77434842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"44","issue":"3","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":0.9998999834060669,"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":0.9940000176429749,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9922000169754028,"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/mathematics","display_name":"Mathematics","score":0.7069635391235352},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6155081987380981},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6098940372467041},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.5828588008880615},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5718705058097839},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5237548351287842},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.47899457812309265},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.45545098185539246},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4464077353477478},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4306187033653259},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4253641963005066},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36504942178726196},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32755276560783386},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28102296590805054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17552664875984192},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14560914039611816}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7069635391235352},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6155081987380981},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6098940372467041},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.5828588008880615},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5718705058097839},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5237548351287842},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.47899457812309265},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.45545098185539246},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4464077353477478},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4306187033653259},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4253641963005066},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36504942178726196},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32755276560783386},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28102296590805054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17552664875984192},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14560914039611816}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-03064-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-024-03064-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-024-03064-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-024-03064-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-024-03064-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-024-03064-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2323920647","display_name":null,"funder_award_id":"2023YZZKY19","funder_id":"https://openalex.org/F4320325862","funder_display_name":"North China University of Technology"},{"id":"https://openalex.org/G4067688372","display_name":null,"funder_award_id":"11901007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8971911421","display_name":null,"funder_award_id":"11901007","funder_id":"https://openalex.org/F4320315254","funder_display_name":"Innovative Research Group Project of the National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320315254","display_name":"Innovative Research Group Project of the National Natural Science Foundation of China","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325862","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4406071308.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1507872748","https://openalex.org/W1964318952","https://openalex.org/W1982606567","https://openalex.org/W1984486609","https://openalex.org/W1992715298","https://openalex.org/W1994178762","https://openalex.org/W1995123739","https://openalex.org/W1997679081","https://openalex.org/W2013367574","https://openalex.org/W2022135193","https://openalex.org/W2034038007","https://openalex.org/W2038354216","https://openalex.org/W2070182878","https://openalex.org/W2070545443","https://openalex.org/W2072578205","https://openalex.org/W2076136296","https://openalex.org/W2076628063","https://openalex.org/W2088288440","https://openalex.org/W2089021392","https://openalex.org/W2092092154","https://openalex.org/W2099025530","https://openalex.org/W2580890888","https://openalex.org/W3044373521","https://openalex.org/W3135562591","https://openalex.org/W3169174001","https://openalex.org/W4206245024","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4206081075","https://openalex.org/W2037428035","https://openalex.org/W2121560876","https://openalex.org/W2048452567","https://openalex.org/W2075305841","https://openalex.org/W4242545108","https://openalex.org/W2116600453","https://openalex.org/W2389438659","https://openalex.org/W2364431489","https://openalex.org/W2365416574"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}