{"id":"https://openalex.org/W1991748866","doi":"https://doi.org/10.1109/grc.2005.1547269","title":"Uncertainty in generalized fuzzy rough sets","display_name":"Uncertainty in generalized fuzzy rough sets","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1991748866","doi":"https://doi.org/10.1109/grc.2005.1547269","mag":"1991748866"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2005.1547269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Granular Computing","raw_type":"proceedings-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/A5102881674","display_name":"Ju\u2010Sheng Mi","orcid":"https://orcid.org/0000-0002-3753-4490"},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ju-Sheng Mi","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070516472","display_name":"Guo Zeng-xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I183006215","display_name":"Shijiazhuang University","ror":"https://ror.org/028rmam09","country_code":"CN","type":"education","lineage":["https://openalex.org/I183006215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeng-Xiao Guo","raw_affiliation_strings":["Department of Mathematics, Shijiazhuang College, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shijiazhuang College, Shijiazhuang, Hebei, China","institution_ids":["https://openalex.org/I183006215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101681211","display_name":"Tao Feng","orcid":"https://orcid.org/0000-0003-1611-1138"},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Feng","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100880436","display_name":"Hui-Yin Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui-Yin Zhao","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, China","institution_ids":["https://openalex.org/I94611258"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102881674"],"corresponding_institution_ids":["https://openalex.org/I94611258"],"apc_list":null,"apc_paid":null,"fwci":0.3514,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58595945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"213","last_page":"216 Vol. 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":0.9998999834060669,"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":0.9429000020027161,"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":0.720547080039978},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.6152528524398804},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5696364045143127},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.568612813949585},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5465996265411377},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5445899367332458},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4442393481731415},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.44285932183265686},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.43932753801345825},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36918824911117554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3584098815917969},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23926150798797607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23745673894882202},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.21468320488929749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05454936623573303}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.720547080039978},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.6152528524398804},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5696364045143127},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.568612813949585},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5465996265411377},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5445899367332458},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4442393481731415},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.44285932183265686},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.43932753801345825},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36918824911117554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3584098815917969},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23926150798797607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23745673894882202},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.21468320488929749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05454936623573303},{"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/grc.2005.1547269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1557923305","https://openalex.org/W1964228588","https://openalex.org/W1970498753","https://openalex.org/W1988907639","https://openalex.org/W1999612973","https://openalex.org/W2002680690","https://openalex.org/W2014827534","https://openalex.org/W2021680742","https://openalex.org/W2027654459","https://openalex.org/W2035567190","https://openalex.org/W2053289194","https://openalex.org/W2078975878","https://openalex.org/W2084980758","https://openalex.org/W2165267798","https://openalex.org/W6633510849"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2610377848","https://openalex.org/W2102433694","https://openalex.org/W2048452567","https://openalex.org/W4361273540","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4285303369","https://openalex.org/W86531607","https://openalex.org/W4242545108"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3],"generalized":[4,32],"fuzzy":[5,17,33],"approximation":[6,18],"spaces":[7],"determined":[8],"by":[9],"a":[10,16,36],"triangular":[11],"norm.":[12],"The":[13],"entropy":[14],"of":[15,38,45],"space":[19],"is":[20,23,40],"introduced,":[21],"which":[22],"similar":[24],"to":[25],"Shannon's":[26],"entropy.":[27],"To":[28],"measure":[29,47],"uncertainty":[30],"in":[31],"rough":[34],"sets,":[35],"notion":[37],"fuzziness":[39],"introduced.":[41],"Some":[42],"basic":[43],"properties":[44],"this":[46],"are":[48],"examined.":[49]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
