{"id":"https://openalex.org/W2636368666","doi":"https://doi.org/10.1007/978-3-319-60837-2_13","title":"Approximation Operators in Covering Based Rough Sets from Submodular Functions","display_name":"Approximation Operators in Covering Based Rough Sets from Submodular Functions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2636368666","doi":"https://doi.org/10.1007/978-3-319-60837-2_13","mag":"2636368666"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-60837-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-60837-2_13","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/A5101539132","display_name":"Mauricio Restrepo","orcid":"https://orcid.org/0000-0003-1007-353X"},"institutions":[{"id":"https://openalex.org/I41047195","display_name":"Military University Nueva Granada","ror":"https://ror.org/05n0gsn30","country_code":"CO","type":"education","lineage":["https://openalex.org/I41047195"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Mauricio Restrepo","raw_affiliation_strings":["Department of Mathematics, Universidad Militar Nueva Granada, Bogot\u00e1, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidad Militar Nueva Granada, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I41047195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101539132"],"corresponding_institution_ids":["https://openalex.org/I41047195"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12336307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"154","last_page":"164"},"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9549000263214111,"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/submodular-set-function","display_name":"Submodular set function","score":0.9169266223907471},{"id":"https://openalex.org/keywords/closure-operator","display_name":"Closure operator","score":0.7449994087219238},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6929835677146912},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.638195812702179},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5617006421089172},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5451372265815735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5359371900558472},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.48141714930534363},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4595576226711273},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4275876581668854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3737630844116211},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33300209045410156},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29563528299331665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28994467854499817},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14286285638809204},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.10489687323570251}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9169266223907471},{"id":"https://openalex.org/C160771489","wikidata":"https://www.wikidata.org/wiki/Q10564851","display_name":"Closure operator","level":3,"score":0.7449994087219238},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6929835677146912},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.638195812702179},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5617006421089172},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5451372265815735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5359371900558472},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.48141714930534363},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4595576226711273},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4275876581668854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3737630844116211},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33300209045410156},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29563528299331665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28994467854499817},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14286285638809204},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.10489687323570251},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-60837-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-60837-2_13","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W74588876","https://openalex.org/W578709777","https://openalex.org/W1538941884","https://openalex.org/W1580373396","https://openalex.org/W1937100093","https://openalex.org/W2033857698","https://openalex.org/W2040834628","https://openalex.org/W2041596646","https://openalex.org/W2043931780","https://openalex.org/W2048114506","https://openalex.org/W2055266411","https://openalex.org/W2078975878","https://openalex.org/W2079229074","https://openalex.org/W2098842541","https://openalex.org/W2131437896","https://openalex.org/W2132938266","https://openalex.org/W2214361950","https://openalex.org/W2267481646","https://openalex.org/W2392673480","https://openalex.org/W2541813980","https://openalex.org/W2784007560","https://openalex.org/W3139676099","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2950365512","https://openalex.org/W1608444752","https://openalex.org/W3204684126","https://openalex.org/W2062310236","https://openalex.org/W3013568067","https://openalex.org/W4299354108","https://openalex.org/W4313343266","https://openalex.org/W2134866037","https://openalex.org/W1987251161","https://openalex.org/W2001061577"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}