{"id":"https://openalex.org/W163554217","doi":"https://doi.org/10.1007/978-3-642-31900-6_60","title":"Definable and Rough Sets in Covering-Based Approximation Spaces","display_name":"Definable and Rough Sets in Covering-Based Approximation Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W163554217","doi":"https://doi.org/10.1007/978-3-642-31900-6_60","mag":"163554217"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31900-6_60","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31900-6_60","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":"conference-paper","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/A5009654329","display_name":"Arun Kumar","orcid":"https://orcid.org/0000-0003-2479-432X"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arun Kumar","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208016, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046102840","display_name":"Mohua Banerjee","orcid":"https://orcid.org/0000-0002-7517-0923"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohua Banerjee","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208016, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5716,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.55945097,"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":"488","last_page":"495"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.914900004863739,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.9289755821228027},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6560187339782715},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5329262614250183},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.475738525390625},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4707494378089905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4676014482975006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44615983963012695},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.41600891947746277},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4009646773338318},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17500469088554382},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1726667582988739},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.13744187355041504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0751781165599823}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.9289755821228027},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6560187339782715},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5329262614250183},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.475738525390625},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4707494378089905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4676014482975006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44615983963012695},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.41600891947746277},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4009646773338318},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17500469088554382},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1726667582988739},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.13744187355041504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0751781165599823},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-31900-6_60","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31900-6_60","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1553690","https://openalex.org/W179988417","https://openalex.org/W645297733","https://openalex.org/W1506662207","https://openalex.org/W1519478560","https://openalex.org/W1536630500","https://openalex.org/W1581532077","https://openalex.org/W1623621557","https://openalex.org/W1800268360","https://openalex.org/W1996323836","https://openalex.org/W2023441160","https://openalex.org/W2036999870","https://openalex.org/W2082266564","https://openalex.org/W2104974367","https://openalex.org/W2113591863","https://openalex.org/W2116509046","https://openalex.org/W2159869175","https://openalex.org/W2245233763","https://openalex.org/W2500062327","https://openalex.org/W3100608543","https://openalex.org/W3100832506"],"related_works":["https://openalex.org/W1998730025","https://openalex.org/W1529494625","https://openalex.org/W2090139274","https://openalex.org/W2342017063","https://openalex.org/W2131767845","https://openalex.org/W2351578128","https://openalex.org/W4301466310","https://openalex.org/W2950460772","https://openalex.org/W3205118594","https://openalex.org/W2513064798"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
