{"id":"https://openalex.org/W3156247556","doi":"https://doi.org/10.4018/ijfsa.2021040105","title":"Some Information Measures for Fuzzy Rough Sets","display_name":"Some Information Measures for Fuzzy Rough Sets","publication_year":2021,"publication_date":"2021-04-01","ids":{"openalex":"https://openalex.org/W3156247556","doi":"https://doi.org/10.4018/ijfsa.2021040105","mag":"3156247556"},"language":"en","primary_location":{"id":"doi:10.4018/ijfsa.2021040105","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijfsa.2021040105","pdf_url":null,"source":{"id":"https://openalex.org/S4210179311","display_name":"International Journal of Fuzzy System Applications","issn_l":"2156-1761","issn":["2156-1761","2156-177X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy System Applications","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/A5017134614","display_name":"Omdutt Sharma","orcid":"https://orcid.org/0000-0002-7274-2906"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Omdutt Sharma","raw_affiliation_strings":["PDM University, India"],"affiliations":[{"raw_affiliation_string":"PDM University, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036896039","display_name":"Pratiksha Tiwari","orcid":"https://orcid.org/0000-0001-9396-4498"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pratiksha Tiwari","raw_affiliation_strings":["Delhi Institute of Advanced Studies, India"],"affiliations":[{"raw_affiliation_string":"Delhi Institute of Advanced Studies, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037224425","display_name":"Priti Gupta","orcid":"https://orcid.org/0000-0001-9575-9658"},"institutions":[{"id":"https://openalex.org/I905734797","display_name":"Maharshi Dayanand University","ror":"https://ror.org/03kaab451","country_code":"IN","type":"education","lineage":["https://openalex.org/I905734797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Priti Gupta","raw_affiliation_strings":["Maharshi Dayanand University, India"],"affiliations":[{"raw_affiliation_string":"Maharshi Dayanand University, India","institution_ids":["https://openalex.org/I905734797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017134614"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07957995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"2","first_page":"82","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9904999732971191,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9555000066757202,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.6421206593513489},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.5893937349319458},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5757268667221069},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5555009245872498},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5428876280784607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5419782400131226},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.5395232439041138},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5232954621315002},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.5141680240631104},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.47976264357566833},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4697314500808716},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.4667176604270935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4349942207336426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41633933782577515},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.4161697030067444},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.4118632972240448},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3746861219406128},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.3366037905216217},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.1876721978187561},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.16263365745544434},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.08190205693244934}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.6421206593513489},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.5893937349319458},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5757268667221069},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5555009245872498},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5428876280784607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5419782400131226},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.5395232439041138},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5232954621315002},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.5141680240631104},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47976264357566833},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4697314500808716},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.4667176604270935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4349942207336426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41633933782577515},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.4161697030067444},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.4118632972240448},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3746861219406128},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3366037905216217},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.1876721978187561},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.16263365745544434},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.08190205693244934},{"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":2,"locations":[{"id":"doi:10.4018/ijfsa.2021040105","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijfsa.2021040105","pdf_url":null,"source":{"id":"https://openalex.org/S4210179311","display_name":"International Journal of Fuzzy System Applications","issn_l":"2156-1761","issn":["2156-1761","2156-177X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy System Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jfsa00:v:10:y:2021:i:2:p:82-102","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJFSA.2021040105","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1976239553","https://openalex.org/W2040121225","https://openalex.org/W2056021265","https://openalex.org/W2185093231","https://openalex.org/W2188797740","https://openalex.org/W2306008351","https://openalex.org/W2831026053","https://openalex.org/W2889948901","https://openalex.org/W2901211749","https://openalex.org/W2911240482","https://openalex.org/W2912565176","https://openalex.org/W2979840445","https://openalex.org/W3009589544","https://openalex.org/W3147287816"],"related_works":["https://openalex.org/W2306107824","https://openalex.org/W2354509034","https://openalex.org/W3167599219","https://openalex.org/W1999612973","https://openalex.org/W3144567631","https://openalex.org/W4220962756","https://openalex.org/W2139507220","https://openalex.org/W2940336320","https://openalex.org/W2096112401","https://openalex.org/W2390529435"],"abstract_inverted_index":{"Information":[0],"theory":[1,23],"is":[2,11,78,122],"a":[3,144],"tool":[4],"to":[5,13,35,89,128,138],"measure":[6,77,106,121],"uncertainty;":[7],"these":[8,113],"days,":[9],"it":[10],"used":[12],"solve":[14,36],"various":[15,46],"challenging":[16,37],"problems":[17,38],"that":[18],"involve":[19],"hybridization":[20],"of":[21,53,112,157],"information":[22,54,63,98],"with":[24,124],"the":[25,60,70,81,119,133,152,155],"fuzzy":[26,71,82],"set,":[27],"rough":[28,72,83],"sets,":[29,31],"vague":[30],"etc.":[32],"In":[33,56],"order":[34],"in":[39,151],"scientific":[40],"data":[41],"analysis":[42],"and":[43,86,103,143],"visualization":[44],"recently,":[45],"authors":[47],"are":[48,67,107,115,136],"working":[49],"on":[50],"hybrid":[51],"measures":[52,66,95,114,127,135],"theory.":[55],"this":[57,90],"paper,":[58],"using":[59,80],"relation":[61],"between":[62],"measures,":[64],"some":[65,93,125],"proposed":[68,120,134],"for":[69,148],"set.":[73],"Firstly,":[74],"an":[75],"entropy":[76,91,101,105],"derived":[79],"similarity":[84],"measure,":[85,92,99,102],"then":[87],"corresponding":[88],"other":[94],"like":[96],"mutual":[97],"joint":[100],"conditional":[104],"also":[108,116],"proposed.":[109],"Some":[110],"properties":[111],"studied.":[117],"Later,":[118],"compared":[123],"existing":[126],"prove":[129],"its":[130],"efficiency.":[131],"Further,":[132],"applied":[137],"pattern":[139],"recognition,":[140],"medical":[141],"diagnoses,":[142],"real-life":[145],"decision-making":[146],"problem":[147],"incorporating":[149],"software":[150],"curriculum":[153],"at":[154],"Department":[156],"Statistics.":[158]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
