{"id":"https://openalex.org/W2169807773","doi":"https://doi.org/10.1109/tfuzz.2010.2095461","title":"Information Granularity in Fuzzy Binary GrC Model","display_name":"Information Granularity in Fuzzy Binary GrC Model","publication_year":2010,"publication_date":"2010-12-10","ids":{"openalex":"https://openalex.org/W2169807773","doi":"https://doi.org/10.1109/tfuzz.2010.2095461","mag":"2169807773"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2010.2095461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2095461","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/A5003563112","display_name":"Yuhua Qian","orcid":"https://orcid.org/0000-0001-6772-4247"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhua Qian","raw_affiliation_strings":["School of Computer and Information Technology, Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University, Taiyuan, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University, Taiyuan, Shaanxi, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106626932","display_name":"Jiye Liang","orcid":"https://orcid.org/0000-0001-5887-9327"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiye Liang","raw_affiliation_strings":["School of Computer and Information Technology, Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University, Taiyuan, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University, Taiyuan, Shaanxi, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015847053","display_name":"Wei-Zhi Wu","orcid":"https://orcid.org/0000-0002-5913-6821"},"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 Z. Wu","raw_affiliation_strings":["School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, China","institution_ids":["https://openalex.org/I31847773"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085575860","display_name":"Chuangyin Dang","orcid":"https://orcid.org/0000-0003-4731-4616"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chuangyin Dang","raw_affiliation_strings":["Department of Manufacture Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Manufacture Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003563112"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":null,"apc_paid":null,"fwci":9.0323,"has_fulltext":false,"cited_by_count":198,"citation_normalized_percentile":{"value":0.98424557,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"19","issue":"2","first_page":"253","last_page":"264"},"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":0.9919999837875366,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9868000149726868,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.7348649501800537},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.706331729888916},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.683856725692749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5654747486114502},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5562637448310852},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5127369165420532},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.49309656023979187},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.48846712708473206},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4864780604839325},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.48271700739860535},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47831347584724426},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.4653421640396118},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4200096130371094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40342065691947937},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3958756625652313},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.20885148644447327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15071991086006165}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.7348649501800537},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.706331729888916},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.683856725692749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5654747486114502},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5562637448310852},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5127369165420532},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.49309656023979187},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.48846712708473206},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4864780604839325},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.48271700739860535},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47831347584724426},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.4653421640396118},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4200096130371094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40342065691947937},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3958756625652313},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.20885148644447327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15071991086006165},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2010.2095461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2095461","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":[],"funders":[{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"},{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W53283552","https://openalex.org/W1495407702","https://openalex.org/W1527854642","https://openalex.org/W1530320578","https://openalex.org/W1557923305","https://openalex.org/W1823561527","https://openalex.org/W1988907639","https://openalex.org/W1995875735","https://openalex.org/W1997456116","https://openalex.org/W1999612973","https://openalex.org/W2000158142","https://openalex.org/W2011354787","https://openalex.org/W2013378801","https://openalex.org/W2021046849","https://openalex.org/W2021236931","https://openalex.org/W2027654459","https://openalex.org/W2035567190","https://openalex.org/W2036999870","https://openalex.org/W2041404167","https://openalex.org/W2052608046","https://openalex.org/W2053289194","https://openalex.org/W2056939246","https://openalex.org/W2060457781","https://openalex.org/W2071765874","https://openalex.org/W2081281685","https://openalex.org/W2084980758","https://openalex.org/W2095290023","https://openalex.org/W2096082386","https://openalex.org/W2096393821","https://openalex.org/W2097498222","https://openalex.org/W2097923398","https://openalex.org/W2098093602","https://openalex.org/W2099167966","https://openalex.org/W2107493785","https://openalex.org/W2114383673","https://openalex.org/W2128771953","https://openalex.org/W2137396323","https://openalex.org/W2142864059","https://openalex.org/W2143451122","https://openalex.org/W2151064980","https://openalex.org/W2153098502","https://openalex.org/W2153676086","https://openalex.org/W2153817362","https://openalex.org/W2154887800","https://openalex.org/W2160307100","https://openalex.org/W2165094119","https://openalex.org/W2168523997","https://openalex.org/W2170544171","https://openalex.org/W2170755382","https://openalex.org/W2234239303","https://openalex.org/W2305735113","https://openalex.org/W2506703326","https://openalex.org/W2730473046","https://openalex.org/W2918608747","https://openalex.org/W4301971136","https://openalex.org/W6638427542"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W1485268022","https://openalex.org/W85606319","https://openalex.org/W2331106272","https://openalex.org/W1975005191","https://openalex.org/W1952396636","https://openalex.org/W173448675","https://openalex.org/W1542808721"],"abstract_inverted_index":{"Zadeh\u2019s":[0],"seminal":[1],"work":[2],"in":[3,8,16,83,122],"theory":[4],"of":[5,56,61,85,88],"fuzzy-information":[6,59,90,134,140,143],"granulation":[7],"human":[9],"reasoning":[10],"is":[11,53,66,72,81,99,106],"inspired":[12],"by":[13,112],"the":[14,54,86,108],"ways":[15],"which":[17,105,125],"humans":[18],"granulate":[19],"information":[20],"and":[21,142],"reason":[22],"with":[23,76],"it.":[24],"This":[25,97],"has":[26],"led":[27],"to":[28,49,68,139],"an":[29,46,73,136],"interesting":[30],"research":[31,39],"topic:":[32],"granular":[33,95,103],"computing":[34],"(GrC).":[35],"Although":[36],"many":[37],"excellent":[38],"contributions":[40],"have":[41],"been":[42],"made,":[43],"there":[44],"remains":[45],"important":[47],"issue":[48],"be":[50],"addressed:":[51],"What":[52,65],"essence":[55],"measuring":[57],"a":[58,62,77,93],"granularity":[60],"fuzzy-granular":[63],"structure?":[64],"needed":[67],"answer":[69],"this":[70,116,123],"question":[71],"axiomatic":[74,137],"constraint":[75],"partial-order":[78,130],"relation":[79],"that":[80],"defined":[82],"terms":[84],"size":[87],"each":[89],"granule":[91],"from":[92,118,119],"fuzzy-binary":[94,102],"structure.":[96],"viewpoint":[98,117],"demonstrated":[100],"for":[101,133],"structure,":[104],"called":[107],"binary":[109],"GrC":[110],"model":[111],"Lin.":[113],"We":[114],"study":[115],"five":[120],"aspects":[121],"study,":[124],"are":[126],"fuzzy":[127],"BINARY-granular-structure":[128],"operators,":[129],"relations,":[131],"measures":[132],"granularity,":[135,141],"approach":[138],"entropies.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
