{"id":"https://openalex.org/W2901011786","doi":"https://doi.org/10.1109/tfuzz.2018.2883023","title":"Covering-Based Variable Precision $(\\mathcal {I},\\mathcal {T})$-Fuzzy Rough Sets With Applications to Multiattribute Decision-Making","display_name":"Covering-Based Variable Precision $(\\mathcal {I},\\mathcal {T})$-Fuzzy Rough Sets With Applications to Multiattribute Decision-Making","publication_year":2018,"publication_date":"2018-11-23","ids":{"openalex":"https://openalex.org/W2901011786","doi":"https://doi.org/10.1109/tfuzz.2018.2883023","mag":"2901011786"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2018.2883023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2883023","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/A5067810883","display_name":"Haibo Jiang","orcid":"https://orcid.org/0000-0002-7665-3417"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haibo Jiang","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, China"],"raw_orcid":"https://orcid.org/0000-0002-7665-3417","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100691996","display_name":"Jianming Zhan","orcid":"https://orcid.org/0000-0003-2510-9515"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianming Zhan","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, China"],"raw_orcid":"https://orcid.org/0000-0003-2510-9515","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069347046","display_name":"Degang Chen","orcid":"https://orcid.org/0000-0002-1135-9807"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Degang Chen","raw_affiliation_strings":["Department of Mathematics and Physical, North China Electric Power University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1135-9807","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physical, North China Electric Power University, Beijing, China","institution_ids":["https://openalex.org/I153473198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.5572,"has_fulltext":false,"cited_by_count":162,"citation_normalized_percentile":{"value":0.99367237,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"27","issue":"8","first_page":"1558","last_page":"1572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998999834060669,"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":0.982200026512146,"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/mathematics","display_name":"Mathematics","score":0.6602399945259094},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5694720149040222},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5248486995697021},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5018291473388672},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.484737366437912},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4314889907836914},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4140196144580841},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39985743165016174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34699541330337524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3453540802001953},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.312382310628891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6602399945259094},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5694720149040222},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5248486995697021},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5018291473388672},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.484737366437912},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4314889907836914},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4140196144580841},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39985743165016174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34699541330337524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3453540802001953},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.312382310628891},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2018.2883023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2883023","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":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1963055153","display_name":"\u8986\u76d6\u591a\u7c92\u5ea6Pythagorean\u6a21\u7cca\u7c97\u7cd9\u96c6\u53ca\u591a\u5c5e\u6027\u51b3\u7b56\u7814\u7a76","funder_award_id":"61866011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4874409704","display_name":"\u57fa\u4e8e\u7c97\u7cd9\u8f6f\u96c6\u7684(m, n)\u5143(\u8d85)\u534a\u73af\u7814\u7a76","funder_award_id":"11561023","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"},{"id":"https://openalex.org/F4320329781","display_name":"Hubei University","ror":"https://ror.org/03a60m280"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W173895910","https://openalex.org/W279998616","https://openalex.org/W1514174278","https://openalex.org/W1564232874","https://openalex.org/W1680090622","https://openalex.org/W1770898509","https://openalex.org/W1964755555","https://openalex.org/W1970343705","https://openalex.org/W1973408437","https://openalex.org/W1976210939","https://openalex.org/W1987177581","https://openalex.org/W1997362234","https://openalex.org/W2002680690","https://openalex.org/W2011394805","https://openalex.org/W2012614494","https://openalex.org/W2014724259","https://openalex.org/W2014827534","https://openalex.org/W2022183294","https://openalex.org/W2027654459","https://openalex.org/W2029386095","https://openalex.org/W2031978194","https://openalex.org/W2033249289","https://openalex.org/W2042102899","https://openalex.org/W2049947502","https://openalex.org/W2055266411","https://openalex.org/W2060907774","https://openalex.org/W2065794423","https://openalex.org/W2068431552","https://openalex.org/W2078975878","https://openalex.org/W2083508077","https://openalex.org/W2084980758","https://openalex.org/W2085029196","https://openalex.org/W2112195158","https://openalex.org/W2128771953","https://openalex.org/W2130104797","https://openalex.org/W2131437896","https://openalex.org/W2134866037","https://openalex.org/W2137396323","https://openalex.org/W2140827645","https://openalex.org/W2154887800","https://openalex.org/W2162364423","https://openalex.org/W2170973913","https://openalex.org/W2214361950","https://openalex.org/W2342469683","https://openalex.org/W2346443999","https://openalex.org/W2509408427","https://openalex.org/W2533607442","https://openalex.org/W2586356223","https://openalex.org/W2732388576","https://openalex.org/W2766239046","https://openalex.org/W2767532402","https://openalex.org/W2803341335","https://openalex.org/W2997864005","https://openalex.org/W4211007335","https://openalex.org/W4239148225","https://openalex.org/W4243419638","https://openalex.org/W4255833381","https://openalex.org/W6665813649"],"related_works":["https://openalex.org/W2392963705","https://openalex.org/W2107349454","https://openalex.org/W2382278777","https://openalex.org/W1964260090","https://openalex.org/W2353240132","https://openalex.org/W2978519593","https://openalex.org/W2102746356","https://openalex.org/W2018750854","https://openalex.org/W4390066334","https://openalex.org/W2096751418"],"abstract_inverted_index":{"At":[0],"present,":[1],"there":[2],"is":[3],"no":[4],"unified":[5],"method":[6],"for":[7,146],"solving":[8],"multiattribute":[9,114,147],"decision-making":[10,140,148],"problems.":[11],"In":[12],"this":[13],"paper,":[14],"we":[15,101],"propose":[16],"two":[17,111],"methods":[18,141],"that":[19,132],"benefit":[20],"from":[21],"some":[22],"novel":[23],"fuzzy":[24,39,151],"rough":[25,55],"set":[26,56],"models.":[27],"Some":[28,116],"theoretical":[29],"preliminaries":[30],"pave":[31],"the":[32,90,93,120,133],"way.":[33],"First,":[34],"by":[35,138],"means":[36],"of":[37,49,122],"a":[38,43,143],"logical":[40],"implicator":[41],"Iand":[42],"triangular":[44],"norm":[45],"T,":[46],"four":[47],"types":[48],"coverings-based":[50],"variable":[51],"precision":[52],"(I,":[53],"T)-fuzzy":[54],"models":[57,97],"are":[58,98],"proposed.":[59],"They":[60],"can":[61],"be":[62],"used":[63],"to":[64,73,83,109,113],"deal":[65],"with":[66,150],"misclassification":[67,71],"and":[68,92,128],"perturbation":[69,81],"(here,":[70],"refers":[72,82],"error":[74],"or":[75],"missing":[76],"values":[77],"in":[78,86,107],"classification,":[79],"while":[80],"small":[84],"changes":[85],"digital":[87],"data).":[88],"Second,":[89],"properties":[91],"relationships":[94],"among":[95],"these":[96,123,139],"investigated.":[99],"Finally,":[100],"rely":[102],"on":[103],"their":[104],"remarkable":[105],"features":[106],"order":[108],"establish":[110],"approaches":[112],"decision-making.":[115],"numerical":[117],"examples":[118],"illustrate":[119],"application":[121],"new":[124],"approaches.":[125],"The":[126],"sensitivity":[127],"comparative":[129],"analyses":[130],"show":[131],"respective":[134],"ranking":[135],"results":[136],"produced":[137],"have":[142],"high":[144],"consensus":[145],"problems":[149],"evaluation":[152],"information.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":40}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
