{"id":"https://openalex.org/W2825193149","doi":"https://doi.org/10.3233/jifs-172078","title":"On generalization of rough sets by using two different methods","display_name":"On generalization of rough sets by using two different methods","publication_year":2018,"publication_date":"2018-07-09","ids":{"openalex":"https://openalex.org/W2825193149","doi":"https://doi.org/10.3233/jifs-172078","mag":"2825193149"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-172078","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-172078","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & 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/A5012031798","display_name":"M. M. Hosny","orcid":"https://orcid.org/0000-0003-4258-5257"},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Mona Hosny","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012031798"],"corresponding_institution_ids":["https://openalex.org/I107720978"],"apc_list":null,"apc_paid":null,"fwci":2.5648,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90894802,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"35","issue":"1","first_page":"979","last_page":"993"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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":1.0,"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":0.9645000100135803,"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/T11106","display_name":"Data Management and Algorithms","score":0.9578999876976013,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.8852531313896179},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.7174033522605896},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.6900104284286499},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.6787912249565125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6356543302536011},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5924089550971985},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5734341740608215},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5556057095527649},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5326829552650452},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.49869704246520996},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.48499390482902527},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.48438531160354614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3543080687522888},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3533020317554474},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34759509563446045},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.21367892622947693},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1625954508781433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1311981976032257},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13089847564697266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12202182412147522},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.09832286834716797}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8852531313896179},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.7174033522605896},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.6900104284286499},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.6787912249565125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6356543302536011},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5924089550971985},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5734341740608215},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5556057095527649},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5326829552650452},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.49869704246520996},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.48499390482902527},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.48438531160354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3543080687522888},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3533020317554474},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34759509563446045},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.21367892622947693},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1625954508781433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1311981976032257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13089847564697266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12202182412147522},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.09832286834716797},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-172078","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-172078","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W34692340","https://openalex.org/W265903772","https://openalex.org/W1536681184","https://openalex.org/W1573317636","https://openalex.org/W1589704894","https://openalex.org/W1591618909","https://openalex.org/W1593054802","https://openalex.org/W1834136269","https://openalex.org/W1978202330","https://openalex.org/W1983426508","https://openalex.org/W1993681071","https://openalex.org/W1995390696","https://openalex.org/W2002795378","https://openalex.org/W2010855867","https://openalex.org/W2023441160","https://openalex.org/W2024638676","https://openalex.org/W2030966457","https://openalex.org/W2031487111","https://openalex.org/W2051316961","https://openalex.org/W2071988067","https://openalex.org/W2078975878","https://openalex.org/W2082266564","https://openalex.org/W2084066506","https://openalex.org/W2092266125","https://openalex.org/W2093442205","https://openalex.org/W2095290023","https://openalex.org/W2103666359","https://openalex.org/W2123304182","https://openalex.org/W2156311117","https://openalex.org/W2165267798","https://openalex.org/W2170755382","https://openalex.org/W2435300465","https://openalex.org/W2465230368","https://openalex.org/W2468752536","https://openalex.org/W2520155300","https://openalex.org/W2549074274","https://openalex.org/W2604107963","https://openalex.org/W2613616465","https://openalex.org/W2735516376","https://openalex.org/W2970613015","https://openalex.org/W3163149830","https://openalex.org/W4255833381","https://openalex.org/W4285719527","https://openalex.org/W6601439794","https://openalex.org/W6609895473","https://openalex.org/W6634088229"],"related_works":["https://openalex.org/W2158629008","https://openalex.org/W2952650945","https://openalex.org/W1998730025","https://openalex.org/W4300932738","https://openalex.org/W2555953341","https://openalex.org/W2052027214","https://openalex.org/W2553317149","https://openalex.org/W993737215","https://openalex.org/W2135460823","https://openalex.org/W1484428591"],"abstract_inverted_index":{"Rough":[0],"set":[1,26,89,139],"theory":[2,140],"was":[3],"introduced":[4,156],"by":[5,27,79],"Pawlak":[6],"in":[7,15,56,63,116,121],"1982":[8],"to":[9,51,159],"handle":[10],"imprecision,":[11],"vagueness,":[12],"and":[13,34,71,81,102,119,151,157],"uncertainty":[14],"data":[16],"analysis.":[17],"It":[18],"is":[19],"dealing":[20],"with":[21],"vagueness":[22],"(ambiguous)":[23],"of":[24,31,37,47,66,74,84,136],"the":[25,29,32,64,85,94,110,148,152],"using":[28,93],"concept":[30],"lower":[33,70],"upper":[35,72],"approximations":[36,62,73,90,131,150],"objects":[38],"based":[39],"on":[40],"an":[41],"equivalence":[42],"relation.":[43],"The":[44,69,88,128],"main":[45],"idea":[46],"rough":[48,117,138],"sets":[49,101],"corresponds":[50],"study":[52],"these":[53,61],"approximations.":[54],"So,":[55],"this":[57],"paper,":[58],"we":[59],"generalize":[60],"frameworks":[65],"topological":[67,86,96,114],"spaces.":[68],"Pawlak\u2019s":[75],"model":[76],"are":[77,91,132,155],"replaced":[78],"interior":[80],"closure":[82],"notions":[83,97],"space.":[87],"defined":[92],"new":[95],"\u03b4\u03b2":[98],"j":[99,105],"-open":[100],"\u22c0":[103],"\u03b2":[104],"-sets.":[106],"Such":[107],"techniques":[108],"open":[109],"way":[111],"for":[112],"more":[113,161],"applications":[115,124],"context":[118],"help":[120],"formalizing":[122],"many":[123],"from":[125],"real-life":[126],"data.":[127],"current":[129,149],"extension":[130],"satisfied":[133],"all":[134],"properties":[135],"original":[137],"without":[141],"any":[142],"conditions":[143],"or":[144],"restrictions.":[145],"Comparisons":[146],"between":[147],"previous":[153],"one":[154],"shown":[158],"be":[160],"general.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}