{"id":"https://openalex.org/W2277314393","doi":"https://doi.org/10.1007/3-540-45631-7_65","title":"Derivative and Differential of Convex Fuzzy Valued Functions and Application","display_name":"Derivative and Differential of Convex Fuzzy Valued Functions and Application","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2277314393","doi":"https://doi.org/10.1007/3-540-45631-7_65","mag":"2277314393"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45631-7_65","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45631-7_65","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5100963812","display_name":"Wu Congxin","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wu Congxin","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People's Republic of China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wang Guixiang","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Guixiang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, People's Republic of China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101623391","display_name":"Cong Wu","orcid":"https://orcid.org/0000-0002-0930-0283"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Cong","raw_affiliation_strings":["School of Manage, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","School of Manage, Harbin Institute of Technology, 150001, Harbin, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Manage, Harbin Institute of Technology, 150001, Harbin, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Manage, Harbin Institute of Technology, 150001, Harbin, People's Republic of China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100963812"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19665683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"478","last_page":"484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.7890759706497192},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6948903799057007},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.6729079484939575},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.614993691444397},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.601669192314148},{"id":"https://openalex.org/keywords/pseudoconvex-function","display_name":"Pseudoconvex function","score":0.6005514860153198},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5323289632797241},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5052257180213928},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49825477600097656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4878130257129669},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48334452509880066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4677298963069916},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.438912957906723},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.435926616191864},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.41943034529685974},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3321439027786255},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15853813290596008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13443607091903687},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07607817649841309},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06442314386367798}],"concepts":[{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.7890759706497192},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6948903799057007},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.6729079484939575},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.614993691444397},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.601669192314148},{"id":"https://openalex.org/C118888059","wikidata":"https://www.wikidata.org/wiki/Q7254692","display_name":"Pseudoconvex function","level":5,"score":0.6005514860153198},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5323289632797241},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5052257180213928},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49825477600097656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4878130257129669},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48334452509880066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4677298963069916},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.438912957906723},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.435926616191864},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.41943034529685974},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3321439027786255},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15853813290596008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13443607091903687},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07607817649841309},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06442314386367798},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45631-7_65","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45631-7_65","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965955764","https://openalex.org/W1987832787","https://openalex.org/W1997679081","https://openalex.org/W2018154656","https://openalex.org/W2026820390","https://openalex.org/W2049246978","https://openalex.org/W2076628063","https://openalex.org/W2077941982","https://openalex.org/W2084568227","https://openalex.org/W2089021392","https://openalex.org/W2089518238","https://openalex.org/W2092092154","https://openalex.org/W2477431916","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2023539147","https://openalex.org/W2101504640","https://openalex.org/W2377750169","https://openalex.org/W2072707988","https://openalex.org/W2356958610","https://openalex.org/W2383644257","https://openalex.org/W2046144679","https://openalex.org/W179904671","https://openalex.org/W2277314393","https://openalex.org/W2349507575"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
