{"id":"https://openalex.org/W3009809128","doi":"https://doi.org/10.1109/tcyb.2020.2973379","title":"Granularity and Entropy of Intuitionistic Fuzzy Information and Their Applications","display_name":"Granularity and Entropy of Intuitionistic Fuzzy Information and Their Applications","publication_year":2020,"publication_date":"2020-03-02","ids":{"openalex":"https://openalex.org/W3009809128","doi":"https://doi.org/10.1109/tcyb.2020.2973379","mag":"3009809128","pmid":"https://pubmed.ncbi.nlm.nih.gov/32142467"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2973379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2973379","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5011909818","display_name":"Anhui Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Anhui Tan","raw_affiliation_strings":["School of Mathematics, Physics, and Information Science, Zhejiang Ocean University, Zhoushan, China","Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics, and Information Science, Zhejiang Ocean University, Zhoushan, China","institution_ids":["https://openalex.org/I31847773"]},{"raw_affiliation_string":"Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, China","institution_ids":["https://openalex.org/I31847773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044618707","display_name":"Suwei Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Suwei Shi","raw_affiliation_strings":["Tan Kah Kee College, Xiamen University, Zhangzhou, China"],"affiliations":[{"raw_affiliation_string":"Tan Kah Kee College, Xiamen University, Zhangzhou, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015847053","display_name":"Wei-Zhi Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Zhi Wu","raw_affiliation_strings":["School of Mathematics, Physics, and Information Science, Zhejiang Ocean University, Zhoushan, China","Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics, and Information Science, Zhejiang Ocean University, Zhoushan, China","institution_ids":["https://openalex.org/I31847773"]},{"raw_affiliation_string":"Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, China","institution_ids":["https://openalex.org/I31847773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100657117","display_name":"Jinjin Li","orcid":"https://orcid.org/0000-0001-9947-6858"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinjin Li","raw_affiliation_strings":["School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["CA","PL","SA"],"is_corresponding":false,"raw_author_name":"Witold Pedrycz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada","Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","Polish Academy of Sciences, Systems Research Institute, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Polish Academy of Sciences, Systems Research Institute, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011909818"],"corresponding_institution_ids":["https://openalex.org/I31847773"],"apc_list":null,"apc_paid":null,"fwci":6.503,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.97204308,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"52","issue":"1","first_page":"192","last_page":"204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9987000226974487,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/granularity","display_name":"Granularity","score":0.824795126914978},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.7105200290679932},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.6252410411834717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5480095744132996},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5256394147872925},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5186459422111511},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.49958062171936035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42700886726379395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3442871570587158},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.33577442169189453}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.824795126914978},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.7105200290679932},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.6252410411834717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5480095744132996},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5256394147872925},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5186459422111511},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.49958062171936035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42700886726379395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3442871570587158},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.33577442169189453},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057225","descriptor_name":"Data Mining","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057225","descriptor_name":"Data Mining","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057225","descriptor_name":"Data Mining","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.2973379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2973379","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:32142467","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32142467","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1806932936","display_name":null,"funder_award_id":"11871259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3600669622","display_name":null,"funder_award_id":"61573321","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4254815387","display_name":null,"funder_award_id":"41701447","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4862558754","display_name":null,"funder_award_id":"61976194","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6547945720","display_name":null,"funder_award_id":"61602415","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7152603863","display_name":null,"funder_award_id":"41631179","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7174071972","display_name":null,"funder_award_id":"LY18F030017","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G7470949381","display_name":null,"funder_award_id":"2019J01748","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1528458083","https://openalex.org/W1980564456","https://openalex.org/W1985326909","https://openalex.org/W1995875735","https://openalex.org/W2009593736","https://openalex.org/W2026244788","https://openalex.org/W2031345712","https://openalex.org/W2036999870","https://openalex.org/W2042096136","https://openalex.org/W2046211408","https://openalex.org/W2059228994","https://openalex.org/W2079358157","https://openalex.org/W2082173396","https://openalex.org/W2083047046","https://openalex.org/W2084812512","https://openalex.org/W2085843933","https://openalex.org/W2092845575","https://openalex.org/W2110183025","https://openalex.org/W2114383673","https://openalex.org/W2128771953","https://openalex.org/W2139893869","https://openalex.org/W2153098502","https://openalex.org/W2154053567","https://openalex.org/W2162364423","https://openalex.org/W2165094119","https://openalex.org/W2165187708","https://openalex.org/W2169807773","https://openalex.org/W2171218346","https://openalex.org/W2202315680","https://openalex.org/W2234239303","https://openalex.org/W2288326155","https://openalex.org/W2563128797","https://openalex.org/W2607893089","https://openalex.org/W2743435031","https://openalex.org/W2791661525","https://openalex.org/W2803308433","https://openalex.org/W2803748664","https://openalex.org/W2810540413","https://openalex.org/W2884596285","https://openalex.org/W2913852222","https://openalex.org/W2919745593","https://openalex.org/W2948074054","https://openalex.org/W2956917852","https://openalex.org/W4211007335","https://openalex.org/W4292295629","https://openalex.org/W6752541407"],"related_works":["https://openalex.org/W1795409297","https://openalex.org/W2385082087","https://openalex.org/W2508737459","https://openalex.org/W2734666672","https://openalex.org/W2013421631","https://openalex.org/W2390772058","https://openalex.org/W2282249876","https://openalex.org/W2978631811","https://openalex.org/W2367964367","https://openalex.org/W2374419214"],"abstract_inverted_index":{"A":[0],"granular":[1,74,104,113],"structure":[2],"of":[3,14,36,55,72,82,89,102,146,163,194,203],"intuitionistic":[4,147],"fuzzy":[5],"(IF)":[6],"information":[7,30,45,68,70,84,151,165],"presents":[8],"simultaneously":[9],"the":[10,34,56,100,107,133,140,144,150,157,181,184,187,201,204],"similarity":[11],"and":[12,29,40,76,129,156],"diversity":[13],"samples.":[15],"However,":[16],"this":[17,64],"structural":[18],"representation":[19],"has":[20],"rarely":[21],"displayed":[22],"its":[23],"technical":[24],"capability":[25],"in":[26,59,63],"data":[27,61,80,161],"mining":[28],"processing":[31],"due":[32],"to":[33,48,79,98,126,199],"lack":[35],"suitable":[37],"constructive":[38],"methods":[39],"semantic":[41],"interpretation":[42],"for":[43,160],"IF":[44,73,83,103,112,127,164,173],"with":[46,132],"regard":[47],"real":[49],"data.":[50],"To":[51],"pursue":[52],"better":[53],"performance":[54,202],"IF-based":[57],"technique":[58],"real-world":[60],"mining,":[62],"article,":[65],"we":[66],"examine":[67],"granularity,":[69],"entropy":[71],"structures,":[75],"their":[77,130],"applications":[78],"reduction":[81,162],"systems.":[85],"First,":[86],"several":[87],"types":[88],"partial-order":[90,134],"relations":[91,135,174],"at":[92],"different":[93,111],"hierarchical":[94],"levels":[95],"are":[96,124,136],"defined":[97],"reveal":[99],"granularity":[101,108],"structures.":[105],"Second,":[106],"invariance":[109],"between":[110,183],"structures":[114],"is":[115,153,167,197],"characterized":[116],"by":[117,170],"using":[118,149],"relational":[119],"mappings.":[120],"Third,":[121],"Shannon's":[122],"entropies":[123,128],"generalized":[125],"relationships":[131],"addressed.":[137],"Based":[138],"on":[139],"theoretical":[141],"analysis":[142],"above,":[143],"significance":[145],"attributes":[148],"measures":[152],"then":[154],"introduced":[155],"information-preserving":[158],"algorithm":[159],"systems":[166],"constructed.":[168],"Finally,":[169],"inducing":[171],"substantial":[172],"from":[175,186],"public":[176],"datasets":[177],"that":[178],"take":[179],"both":[180],"similarity/diversity":[182],"samples":[185],"same/different":[188],"classes":[189],"into":[190],"account,":[191],"a":[192],"collection":[193],"numerical":[195],"experiments":[196],"conducted":[198],"confirm":[200],"proposed":[205],"technique.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}