{"id":"https://openalex.org/W4293153121","doi":"https://doi.org/10.1109/tfuzz.2022.3197902","title":"Characterizations of Residual Implications Derived From Copulas","display_name":"Characterizations of Residual Implications Derived From Copulas","publication_year":2022,"publication_date":"2022-08-10","ids":{"openalex":"https://openalex.org/W4293153121","doi":"https://doi.org/10.1109/tfuzz.2022.3197902"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2022.3197902","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3197902","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/A5076450528","display_name":"Wei Ji","orcid":"https://orcid.org/0000-0001-6220-7224"},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Ji","raw_affiliation_strings":["College of Science, Guilin University of Technology, Guilin, China"],"raw_orcid":"https://orcid.org/0000-0001-6220-7224","affiliations":[{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, China","institution_ids":["https://openalex.org/I38706770"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100864253","display_name":"Jiajia Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiajia Xie","raw_affiliation_strings":["College of Science, Guilin University of Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, China","institution_ids":["https://openalex.org/I38706770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076450528"],"corresponding_institution_ids":["https://openalex.org/I38706770"],"apc_list":null,"apc_paid":null,"fwci":0.678,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72605647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"4","first_page":"1409","last_page":"1415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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":0.998199999332428,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9940999746322632,"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/residual","display_name":"Residual","score":0.8959728479385376},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7455489635467529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5918089151382446},{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.528652012348175},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4886060357093811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36900681257247925},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.24918967485427856},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24125486612319946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1832682192325592}],"concepts":[{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.8959728479385376},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7455489635467529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5918089151382446},{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.528652012348175},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4886060357093811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36900681257247925},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.24918967485427856},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24125486612319946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1832682192325592},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2022.3197902","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3197902","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":[],"awards":[{"id":"https://openalex.org/G5341408569","display_name":null,"funder_award_id":"11961016","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1966997127","https://openalex.org/W1971165057","https://openalex.org/W1986391289","https://openalex.org/W1992942999","https://openalex.org/W1997230328","https://openalex.org/W1998457874","https://openalex.org/W2025021415","https://openalex.org/W2030084873","https://openalex.org/W2031601002","https://openalex.org/W2034192082","https://openalex.org/W2046701989","https://openalex.org/W2051270173","https://openalex.org/W2057805381","https://openalex.org/W2059287801","https://openalex.org/W2059493412","https://openalex.org/W2069800536","https://openalex.org/W2073449793","https://openalex.org/W2079323964","https://openalex.org/W2083847716","https://openalex.org/W2090429435","https://openalex.org/W2094746159","https://openalex.org/W2096071080","https://openalex.org/W2150872625","https://openalex.org/W2157658647","https://openalex.org/W2312494561","https://openalex.org/W2523525768","https://openalex.org/W2578321307","https://openalex.org/W2589041627","https://openalex.org/W2621795486","https://openalex.org/W2758502165","https://openalex.org/W2759255730","https://openalex.org/W2770421795","https://openalex.org/W2789247052","https://openalex.org/W2913824272","https://openalex.org/W2952270599","https://openalex.org/W2963946706","https://openalex.org/W2979761032","https://openalex.org/W3000475255","https://openalex.org/W3045186027","https://openalex.org/W3131880557","https://openalex.org/W3156475722","https://openalex.org/W4235727405","https://openalex.org/W4300705184","https://openalex.org/W6738385704"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W3107994849","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W4254184784","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Residual":[0],"implications":[1,12,48,67,75,88,105],"derived":[2,49,68,76,89,106],"from":[3,32,50,69,77,90,107],"conjunctors":[4,29],"are":[5,24],"one":[6],"of":[7,28,60,65,73,86,103],"the":[8,58],"most":[9],"important":[10,39],"fuzzy":[11,14],"in":[13,41,52,62],"logic":[15],"which":[16,82,112],"possess":[17],"interesting":[18],"theoretical":[19],"and":[20,35],"practical":[21],"properties.":[22],"Copulas":[23],"a":[25,63,84,114],"special":[26],"kind":[27],"that":[30,37,93],"come":[31],"probability":[33],"theory":[34],"statistics":[36],"have":[38],"applications":[40],"many":[42],"fields.":[43],"We":[44,55],"mainly":[45],"discuss":[46],"residual":[47,66,74,87,104],"copulas":[51,108],"this":[53],"article.":[54],"further":[56],"specify":[57],"domain":[59],"variables":[61],"characterization":[64,72,85,94,102],"quasi-copulas.":[70],"A":[71],"proper":[78],"quasi-copulas":[79],"is":[80,95],"obtained,":[81],"provides":[83,113],"copulas.":[91],"Since":[92],"not":[96],"intuitive":[97],"enough,":[98],"we":[99],"give":[100],"another":[101],"by":[109],"level":[110],"sets,":[111],"geometrical":[115],"insight.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}