{"id":"https://openalex.org/W2919163928","doi":"https://doi.org/10.3233/fi-2019-1780","title":"Three-way Decisions with Rough Membership Functions in Covering Approximation Space","display_name":"Three-way Decisions with Rough Membership Functions in Covering Approximation Space","publication_year":2019,"publication_date":"2019-03-05","ids":{"openalex":"https://openalex.org/W2919163928","doi":"https://doi.org/10.3233/fi-2019-1780","mag":"2919163928"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2019-1780","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2019-1780","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"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":"Fundamenta Informaticae","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/A5078291766","display_name":"Bin Yang","orcid":"https://orcid.org/0000-0002-1707-5119"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027334819","display_name":"Bao Qing Hu","orcid":"https://orcid.org/0000-0002-3861-4652"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bao Qing Hu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009023776","display_name":"Junsheng Qiao","orcid":"https://orcid.org/0000-0003-1854-9256"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junsheng Qiao","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China, , , ,","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078291766"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":1.3579,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8245209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"165","issue":"2","first_page":"157","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"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":0.9988999962806702,"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/rough-set","display_name":"Rough set","score":0.9454566240310669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7534554600715637},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.696459949016571},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.6147818565368652},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5477612614631653},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5261763334274292},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4311373829841614},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4197392463684082},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4164116680622101},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3643258213996887},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.30404430627822876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21116399765014648},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21077820658683777},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06558185815811157}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.9454566240310669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7534554600715637},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.696459949016571},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.6147818565368652},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5477612614631653},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5261763334274292},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4311373829841614},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4197392463684082},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4164116680622101},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3643258213996887},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.30404430627822876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21116399765014648},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21077820658683777},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06558185815811157},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2019-1780","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2019-1780","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"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":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":0,"referenced_works":[],"related_works":["https://openalex.org/W2397494716","https://openalex.org/W2473601878","https://openalex.org/W2123662875","https://openalex.org/W2379884433","https://openalex.org/W2087213536","https://openalex.org/W2978519593","https://openalex.org/W2919163928","https://openalex.org/W2102746356","https://openalex.org/W2129446955","https://openalex.org/W2046691123"],"abstract_inverted_index":{"Rough":[0],"membership":[1,45,59,81,95,114],"functions":[2,46,60],"in":[3,47,124],"covering":[4,48,70],"approximation":[5,49],"space":[6],"not":[7],"only":[8],"give":[9,35],"numerical":[10],"characterizations":[11],"of":[12,57,93,101,112],"covering-based":[13,23,28,103],"rough":[14,24,29,44,58,80,94,104,113],"set":[15,105],"approximations,":[16],"but":[17],"also":[18],"establish":[19],"the":[20,87,90,110],"relationship":[21,67,88],"between":[22,68],"sets":[25],"and":[26,61,71],"fuzzy":[27,74],"sets.":[30],"In":[31,83],"this":[32],"paper,":[33],"we":[34,52,85],"a":[36,69,98],"new":[37,55],"method":[38],"to":[39],"discuss":[40],"three-way":[41,122],"decisions":[42,123],"with":[43],"space.":[50],"Firstly,":[51],"introduce":[53],"three":[54],"types":[56,92],"study":[62,86],"their":[63],"properties.":[64],"And":[65],"then,":[66],"its":[72,120],"derived":[73],"\u03b2-covering":[75],"is":[76,107],"investigated":[77],"by":[78],"using":[79],"functions.":[82,96],"addition,":[84],"among":[89],"four":[91],"Finally,":[97],"novel":[99],"type":[100],"graded":[102],"model":[106],"proposed":[108],"on":[109],"basis":[111],"function.":[115],"And,":[116],"as":[117],"an":[118],"application,":[119],"corresponding":[121],"incomplete":[125],"decision":[126],"systems":[127],"are":[128],"investigated.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
