{"id":"https://openalex.org/W2567465394","doi":"https://doi.org/10.1109/tfuzz.2016.2593498","title":"A Unification of Intuitionistic Fuzzy Calculus Theories Based on Subtraction Derivatives and Division Derivatives","display_name":"A Unification of Intuitionistic Fuzzy Calculus Theories Based on Subtraction Derivatives and Division Derivatives","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2567465394","doi":"https://doi.org/10.1109/tfuzz.2016.2593498","mag":"2567465394"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2016.2593498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2593498","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","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/A5103076357","display_name":"Qian Lei","orcid":"https://orcid.org/0000-0001-7608-2741"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qian Lei","raw_affiliation_strings":["College of Sciences, PLA University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100437308","display_name":"Zeshui Xu","orcid":"https://orcid.org/0000-0003-3547-2908"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]},{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, China","College of Sciences, PLA University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I4210163363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103076357"],"corresponding_institution_ids":["https://openalex.org/I4210163363"],"apc_list":null,"apc_paid":null,"fwci":2.5833,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8965138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"5","first_page":"1023","last_page":"1040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9940000176429749,"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/T11106","display_name":"Data Management and Algorithms","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/unification","display_name":"Unification","score":0.7550365328788757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6278014779090881},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.575096845626831},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.5351366400718689},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5305764079093933},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5030049681663513},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46665406227111816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33266112208366394},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24369078874588013},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20935901999473572},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18368008732795715},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14903408288955688}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7550365328788757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6278014779090881},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.575096845626831},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.5351366400718689},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5305764079093933},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5030049681663513},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46665406227111816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33266112208366394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24369078874588013},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20935901999473572},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18368008732795715},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14903408288955688},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"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:10.1109/tfuzz.2016.2593498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2593498","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G5544475696","display_name":null,"funder_award_id":"61273209","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6312906571","display_name":null,"funder_award_id":"71571123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W217726381","https://openalex.org/W624337913","https://openalex.org/W1223529943","https://openalex.org/W1816134045","https://openalex.org/W1947108233","https://openalex.org/W1966808269","https://openalex.org/W1971875039","https://openalex.org/W1975503090","https://openalex.org/W1975777423","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1988053196","https://openalex.org/W2014012163","https://openalex.org/W2017846705","https://openalex.org/W2017977229","https://openalex.org/W2034338597","https://openalex.org/W2036378460","https://openalex.org/W2045326273","https://openalex.org/W2050082080","https://openalex.org/W2052693886","https://openalex.org/W2082736027","https://openalex.org/W2083141276","https://openalex.org/W2089953456","https://openalex.org/W2091275864","https://openalex.org/W2093456061","https://openalex.org/W2282429601","https://openalex.org/W2342656879","https://openalex.org/W2419583469","https://openalex.org/W2481052802","https://openalex.org/W2593128747","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4230571157"],"related_works":["https://openalex.org/W2367630557","https://openalex.org/W101666983","https://openalex.org/W2183792531","https://openalex.org/W4387720420","https://openalex.org/W3094080891","https://openalex.org/W2036954759","https://openalex.org/W3093500249","https://openalex.org/W4235164741","https://openalex.org/W4238090084","https://openalex.org/W3014012045"],"abstract_inverted_index":{"Intuitionistic":[0,23],"fuzzy":[1,11,21,24,56],"calculus":[2,8,25,57],"replaces":[3],"real":[4],"numbers":[5,12],"in":[6],"classical":[7],"with":[9],"intuitionistic":[10,20,55],"that":[13],"are":[14,32],"the":[15,37,41,49,52],"basic":[16],"elements":[17],"of":[18,27],"Atanassov's":[19],"sets.":[22],"consists":[26],"two":[28,53],"parallel":[29],"parts,":[30],"which":[31],"respectively":[33],"developed":[34],"based":[35],"on":[36,47],"subtraction":[38],"derivatives":[39],"and":[40,59],"division":[42],"derivatives.":[43],"This":[44],"paper":[45],"focuses":[46],"building":[48],"relationships":[50],"between":[51],"independent":[54],"theories,":[58],"unifying":[60],"them":[61],"into":[62],"a":[63],"whole":[64],"theory.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}