{"id":"https://openalex.org/W2913852222","doi":"https://doi.org/10.1109/tfuzz.2019.2898158","title":"Uncertainty measurement for a fuzzy relation information system","display_name":"Uncertainty measurement for a fuzzy relation information system","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2913852222","doi":"https://doi.org/10.1109/tfuzz.2019.2898158","mag":"2913852222"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2019.2898158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2898158","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/A5086034088","display_name":"Zhaowen Li","orcid":"https://orcid.org/0000-0002-4437-9214"},"institutions":[{"id":"https://openalex.org/I27462735","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47","country_code":"CN","type":"education","lineage":["https://openalex.org/I27462735"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaowen Li","raw_affiliation_strings":["Department of Guangxi Education, Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Guangxi Education, Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, China","institution_ids":["https://openalex.org/I27462735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100708518","display_name":"Pengfei Zhang","orcid":"https://orcid.org/0000-0002-7090-0325"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi Minzu University","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengfei Zhang","raw_affiliation_strings":["School of Science, Guangxi University for Nationalities, Nanning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Guangxi University for Nationalities, Nanning, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076796793","display_name":"Xun Ge","orcid":"https://orcid.org/0000-0002-3387-6186"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xun Ge","raw_affiliation_strings":["School of Mathematical Sciences, Soochow University, Suzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Soochow University, Suzhou, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110610097","display_name":"Ningxin Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi Minzu University","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ningxin Xie","raw_affiliation_strings":["School of Software and Information Security, Guangxi University for Nationalities, Nanning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software and Information Security, Guangxi University for Nationalities, Nanning, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066097892","display_name":"Gangqiang Zhang","orcid":"https://orcid.org/0000-0001-5424-6389"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi Minzu University","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gangqiang Zhang","raw_affiliation_strings":["School of Software and Information Security, Guangxi University for Nationalities, Nanning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software and Information Security, Guangxi University for Nationalities, Nanning, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048672189","display_name":"Ching\u2010Feng Wen","orcid":"https://orcid.org/0000-0001-8900-761X"},"institutions":[{"id":"https://openalex.org/I152743029","display_name":"Kaohsiung Medical University","ror":"https://ror.org/03gk81f96","country_code":"TW","type":"education","lineage":["https://openalex.org/I152743029"]},{"id":"https://openalex.org/I2802587341","display_name":"Kaohsiung Medical University Chung-Ho Memorial Hospital","ror":"https://ror.org/02xmkec90","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I2802587341"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chingfeng Wen","raw_affiliation_strings":["Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, Taiwan","Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I152743029"]},{"raw_affiliation_string":"Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I152743029","https://openalex.org/I2802587341"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":10.4238,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.98654093,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9894999861717224,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9848999977111816,"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":0.6088477373123169},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5615989565849304},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5597937107086182},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5589235424995422},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5541248321533203},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5535250902175903},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5341578722000122},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5125279426574707},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5112736225128174},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5067415833473206},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.4947037398815155},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45928123593330383},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.4480477273464203},{"id":"https://openalex.org/keywords/information-system","display_name":"Information system","score":0.4304753541946411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3704746961593628},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3054872751235962},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.15612199902534485},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14522722363471985},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.10205510258674622}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6088477373123169},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5615989565849304},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5597937107086182},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5589235424995422},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5541248321533203},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5535250902175903},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5341578722000122},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5125279426574707},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5112736225128174},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5067415833473206},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.4947037398815155},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45928123593330383},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.4480477273464203},{"id":"https://openalex.org/C180198813","wikidata":"https://www.wikidata.org/wiki/Q121182","display_name":"Information system","level":2,"score":0.4304753541946411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3704746961593628},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3054872751235962},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.15612199902534485},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14522722363471985},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.10205510258674622},{"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/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2019.2898158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2898158","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/G6897739399","display_name":null,"funder_award_id":"(11461005)","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":50,"referenced_works":["https://openalex.org/W1557923305","https://openalex.org/W1965147513","https://openalex.org/W1995875503","https://openalex.org/W1995875735","https://openalex.org/W1996844420","https://openalex.org/W1999612973","https://openalex.org/W2002680690","https://openalex.org/W2004358044","https://openalex.org/W2006675793","https://openalex.org/W2007911100","https://openalex.org/W2009593736","https://openalex.org/W2010491975","https://openalex.org/W2013378801","https://openalex.org/W2018786061","https://openalex.org/W2023441160","https://openalex.org/W2027654459","https://openalex.org/W2029307344","https://openalex.org/W2035567190","https://openalex.org/W2042230250","https://openalex.org/W2052719321","https://openalex.org/W2053289194","https://openalex.org/W2059228994","https://openalex.org/W2060457781","https://openalex.org/W2079680557","https://openalex.org/W2089137303","https://openalex.org/W2092179332","https://openalex.org/W2102723818","https://openalex.org/W2103514965","https://openalex.org/W2110183025","https://openalex.org/W2128771953","https://openalex.org/W2137205163","https://openalex.org/W2143451122","https://openalex.org/W2165267798","https://openalex.org/W2168523997","https://openalex.org/W2169807773","https://openalex.org/W2219120503","https://openalex.org/W2261774982","https://openalex.org/W2288326155","https://openalex.org/W2398072265","https://openalex.org/W2490706975","https://openalex.org/W2570343052","https://openalex.org/W2851233212","https://openalex.org/W2885877913","https://openalex.org/W2888076169","https://openalex.org/W2888256491","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4255833381","https://openalex.org/W4285719527","https://openalex.org/W6652336172"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W4361984403","https://openalex.org/W1487720066","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W2148720919","https://openalex.org/W2960454922"],"abstract_inverted_index":{"A":[0],"fuzzy":[1,13,29,40,58,76,100,118,137,153,176],"relation":[2,30,41,59,77,101,119,138,154,177],"information":[3,10,31,36,42,54,60,78,86,93,102,107,109,120,139,155,178],"system":[4,11,43,61,103,121],"may":[5],"be":[6,166],"viewed":[7],"as":[8],"an":[9],"with":[12],"relations.":[14],"Uncertainty":[15],"measurement":[16,26,71],"is":[17,44,62,80,143],"a":[18,28,39,57,99,117,136,158,175],"critical":[19],"evaluating":[20],"tool.":[21],"This":[22],"paper":[23],"investigates":[24],"uncertainty":[25,74,134,173],"for":[27,75,133,168],"system.":[32,179],"The":[33],"concept":[34],"of":[35,68,72,84,129,135,148,152,172],"structures":[37,55],"in":[38,56,98,116,174],"first":[45],"described":[46],"by":[47,82],"using":[48],"set":[49],"vectors.":[50],"Then,":[51],"dependence":[52],"between":[53],"given.":[63],"Next,":[64],"the":[65,69,73,127,130,146,170],"axiom":[66,91],"definition":[67],"granularity":[70],"systems":[79,156],"proposed":[81,131],"means":[83],"its":[85],"structures.":[87],"Based":[88],"upon":[89],"this":[90],"definition,":[92],"granulation":[94],"and":[95,113],"rough":[96],"entropy":[97,115],"are":[104,122,161],"proposed.":[105],"Moreover,":[106],"entropy,":[108,112],"amount,":[110],"joint":[111],"condition":[114],"also":[123],"considered.":[124],"To":[125],"show":[126],"feasibility":[128],"measures":[132],"system,":[140],"effectiveness":[141],"analysis":[142],"conducted":[144],"from":[145],"angle":[147],"statistics.":[149],"Finally,":[150],"characterizations":[151],"under":[157],"compatible":[159],"homomorphism":[160],"obtained.":[162],"These":[163],"results":[164],"will":[165],"helpful":[167],"understanding":[169],"essence":[171]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":14}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
