{"id":"https://openalex.org/W2912225817","doi":"https://doi.org/10.1007/978-3-642-04394-9_2","title":"Local Approximations","display_name":"Local Approximations","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2912225817","doi":"https://doi.org/10.1007/978-3-642-04394-9_2","mag":"2912225817"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04394-9_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04394-9_2","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":"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/A5053642132","display_name":"Jerzy W. Grzymala\u2010Busse","orcid":"https://orcid.org/0000-0001-8799-5714"},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Jerzy W. Grzymala-Busse","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS 66045, USA","Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland","Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS and Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS 66045, USA","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS and Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland#TAB#","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I146416000","https://openalex.org/I4210087266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040696252","display_name":"Wojciech Rz\u0105sa","orcid":"https://orcid.org/0000-0003-4502-7146"},"institutions":[{"id":"https://openalex.org/I98559091","display_name":"University of Rzesz\u00f3w","ror":"https://ror.org/03pfsnq21","country_code":"PL","type":"education","lineage":["https://openalex.org/I98559091"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wojciech Rzasa","raw_affiliation_strings":["Department of Computer Science, University of Rzeszow, Rzesz\u00f3w, Poland","Department of Computer Science, University of Rzesz\u00f3w, Rzesz\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Rzeszow, Rzesz\u00f3w, Poland","institution_ids":["https://openalex.org/I98559091"]},{"raw_affiliation_string":"Department of Computer Science, University of Rzesz\u00f3w, Rzesz\u00f3w, Poland","institution_ids":["https://openalex.org/I98559091"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3261,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66577375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"9","last_page":"16"},"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9474999904632568,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9363999962806702,"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":0.719328761100769},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.7058582901954651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5303873419761658},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.510164737701416},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49521127343177795},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.47962555289268494},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.442253977060318},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4190084636211395},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.41060349345207214},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3814733624458313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.369587242603302},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.28650015592575073},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1882910430431366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10822656750679016}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.719328761100769},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.7058582901954651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5303873419761658},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.510164737701416},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49521127343177795},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.47962555289268494},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.442253977060318},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4190084636211395},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.41060349345207214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3814733624458313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.369587242603302},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28650015592575073},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1882910430431366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10822656750679016},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-04394-9_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04394-9_2","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"},{"id":"mag:2912225817","is_oa":false,"landing_page_url":"https://dl.acm.org/citation.cfm?id=1789577","pdf_url":null,"source":{"id":"https://openalex.org/S4306418935","display_name":"Intelligent Data Engineering and Automated Learning","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Intelligent Data Engineering and Automated Learning","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1522544511","https://openalex.org/W1549911309","https://openalex.org/W1565748078","https://openalex.org/W1566926336","https://openalex.org/W1582314147","https://openalex.org/W1591618909","https://openalex.org/W1736963272","https://openalex.org/W2087740657","https://openalex.org/W2096055385","https://openalex.org/W2103514965","https://openalex.org/W2156549203","https://openalex.org/W2165267798","https://openalex.org/W2784007560","https://openalex.org/W4242182087","https://openalex.org/W4255833381","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W41627467","https://openalex.org/W25527317","https://openalex.org/W1784735342","https://openalex.org/W2091045522","https://openalex.org/W2413302819","https://openalex.org/W1701701809","https://openalex.org/W2011857371","https://openalex.org/W1602742215","https://openalex.org/W2071530339","https://openalex.org/W2007281617","https://openalex.org/W2497024078","https://openalex.org/W2029130197","https://openalex.org/W108063278","https://openalex.org/W2000722217","https://openalex.org/W2399105343","https://openalex.org/W1510748770","https://openalex.org/W2573184829","https://openalex.org/W2005251312","https://openalex.org/W2012829681","https://openalex.org/W2132859304"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}