{"id":"https://openalex.org/W1598356149","doi":"https://doi.org/10.1007/978-3-540-48061-7_12","title":"On Rough Relations: An Alternative Formulation","display_name":"On Rough Relations: An Alternative Formulation","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1598356149","doi":"https://doi.org/10.1007/978-3-540-48061-7_12","mag":"1598356149"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-48061-7_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-48061-7_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5063696855","display_name":"Yiyu Yao","orcid":"https://orcid.org/0000-0001-6502-6226"},"institutions":[{"id":"https://openalex.org/I194028371","display_name":"University of Regina","ror":"https://ror.org/03dzc0485","country_code":"CA","type":"education","lineage":["https://openalex.org/I194028371"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Y. Y. Yao","raw_affiliation_strings":["Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2","institution_ids":["https://openalex.org/I194028371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040101942","display_name":"Tao Wang","orcid":"https://orcid.org/0000-0001-9732-1617"},"institutions":[{"id":"https://openalex.org/I194028371","display_name":"University of Regina","ror":"https://ror.org/03dzc0485","country_code":"CA","type":"education","lineage":["https://openalex.org/I194028371"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tao Wang","raw_affiliation_strings":["Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2","institution_ids":["https://openalex.org/I194028371"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063696855"],"corresponding_institution_ids":["https://openalex.org/I194028371"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8721,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.74491018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"82","last_page":"90"},"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9696999788284302,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9627000093460083,"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/binary-relation","display_name":"Binary relation","score":0.9151923656463623},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.8967294692993164},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.7591308951377869},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.6930282115936279},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5402822494506836},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5352208614349365},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5032967925071716},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5007705688476562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4915240705013275},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4512946307659149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4204387664794922},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4152153730392456},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33953970670700073},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29390910267829895},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09969121217727661},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09123456478118896},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07605639100074768},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06701815128326416}],"concepts":[{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.9151923656463623},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.8967294692993164},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7591308951377869},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.6930282115936279},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5402822494506836},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5352208614349365},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5032967925071716},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5007705688476562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4915240705013275},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4512946307659149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4204387664794922},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4152153730392456},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33953970670700073},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29390910267829895},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09969121217727661},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09123456478118896},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07605639100074768},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06701815128326416}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-48061-7_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-48061-7_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W205678490","https://openalex.org/W1482303427","https://openalex.org/W1487514697","https://openalex.org/W1536681184","https://openalex.org/W1583775122","https://openalex.org/W1584679449","https://openalex.org/W1887407428","https://openalex.org/W1971687147","https://openalex.org/W1987251161","https://openalex.org/W2002367458","https://openalex.org/W2051264127","https://openalex.org/W2500062327","https://openalex.org/W2506703326","https://openalex.org/W3127823229","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2378405769","https://openalex.org/W4247436880","https://openalex.org/W2752896058","https://openalex.org/W2062503615","https://openalex.org/W1503929941","https://openalex.org/W2064989302","https://openalex.org/W2895616265","https://openalex.org/W3021469126","https://openalex.org/W1983426508","https://openalex.org/W1598356149"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
