{"id":"https://openalex.org/W2049981478","doi":"https://doi.org/10.1109/grc.2012.6468664","title":"On matrix representation of three types of covering-based rough sets","display_name":"On matrix representation of three types of covering-based rough sets","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2049981478","doi":"https://doi.org/10.1109/grc.2012.6468664","mag":"2049981478"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","raw_type":"proceedings-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/A5101599930","display_name":"Aiping Huang","orcid":"https://orcid.org/0000-0002-6354-9039"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Aiping Huang","raw_affiliation_strings":["Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou, China","Lab of Granular Computing, Zhangzhou normal University, 363000, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"Lab of Granular Computing, Zhangzhou normal University, 363000, China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078911343","display_name":"William Zhu","orcid":"https://orcid.org/0000-0001-8898-9244"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"William Zhu","raw_affiliation_strings":["Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou, China","Lab of Granular Computing, Zhangzhou normal University, 363000, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"Lab of Granular Computing, Zhangzhou normal University, 363000, China","institution_ids":["https://openalex.org/I9356336"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101599930"],"corresponding_institution_ids":["https://openalex.org/I9356336"],"apc_list":null,"apc_paid":null,"fwci":0.337,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61242775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":null,"first_page":"185","last_page":"190"},"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":0.9168999791145325,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.8949276804924011},{"id":"https://openalex.org/keywords/reduct","display_name":"Reduct","score":0.6956827640533447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6626152396202087},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6180722117424011},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.610953152179718},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.6048594117164612},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5384935736656189},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.524554967880249},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42801064252853394},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3816392421722412},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37164515256881714},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33791816234588623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3261677026748657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26000654697418213},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18979007005691528},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16258510947227478}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8949276804924011},{"id":"https://openalex.org/C69177213","wikidata":"https://www.wikidata.org/wiki/Q12880812","display_name":"Reduct","level":3,"score":0.6956827640533447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6626152396202087},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6180722117424011},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.610953152179718},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.6048594117164612},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5384935736656189},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.524554967880249},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42801064252853394},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3816392421722412},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37164515256881714},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33791816234588623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3261677026748657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26000654697418213},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18979007005691528},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16258510947227478},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1506662207","https://openalex.org/W1536681184","https://openalex.org/W1591618909","https://openalex.org/W1606985731","https://openalex.org/W1971905670","https://openalex.org/W2007262119","https://openalex.org/W2023441160","https://openalex.org/W2024638676","https://openalex.org/W2041596646","https://openalex.org/W2053749030","https://openalex.org/W2070022339","https://openalex.org/W2078975878","https://openalex.org/W2082266564","https://openalex.org/W2103565147","https://openalex.org/W2112195158","https://openalex.org/W2134866037","https://openalex.org/W2165267798","https://openalex.org/W2179643736","https://openalex.org/W2340020088","https://openalex.org/W2392673480","https://openalex.org/W2541813980","https://openalex.org/W2570343052","https://openalex.org/W4255833381","https://openalex.org/W6632001728","https://openalex.org/W6675830730","https://openalex.org/W6685357687","https://openalex.org/W7052012358"],"related_works":["https://openalex.org/W2369301332","https://openalex.org/W2101726329","https://openalex.org/W2376860763","https://openalex.org/W1975980892","https://openalex.org/W2163171169","https://openalex.org/W2010504013","https://openalex.org/W1880013533","https://openalex.org/W2535769210","https://openalex.org/W1540858424","https://openalex.org/W2393055956"],"abstract_inverted_index":{"Rough":[0],"set":[1,47,64],"theory":[2],"is":[3,37,50,80,113,139],"a":[4,74,78,87,91,105,108,143,149],"useful":[5],"tool":[6],"for":[7],"dealing":[8],"with":[9],"inexact,":[10],"uncertain":[11],"or":[12],"vague":[13],"knowledge":[14],"of":[15,21,61,77,90,100,104,121,157],"information":[16],"systems.":[17],"The":[18],"core":[19],"concepts":[20],"classical":[22],"rough":[23,63,161],"sets":[24],"are":[25,66,95,130],"lower":[26,42,122],"and":[27,43,110,123,151],"upper":[28,44,124],"approximation":[29,125,158],"operators":[30,65,94,126,159],"based":[31,127],"on":[32,128],"equivalence":[33],"relations.":[34],"However,":[35],"it":[36],"inefficient":[38],"to":[39,85,154],"compute":[40],"the":[41,71,98,101,116,135,145,155],"approximations":[45],"using":[46],"operations.":[48],"Matrix":[49],"widely":[51],"used":[52],"in":[53,83,160],"scientific":[54],"computation.":[55],"In":[56,70,115,142],"this":[57],"paper,":[58],"three":[59,119],"types":[60,120],"covering-based":[62],"represented":[67,131],"through":[68],"matrix.":[69,133],"first":[72],"part,":[73,118],"matrix":[75,88,102,146],"representation":[76,89,103,147],"covering":[79,109],"given.":[81],"Moreover,":[82,134],"order":[84],"construct":[86],"neighborhood,":[92],"two":[93],"introduced.":[96],"Then":[97],"relationship":[99,136],"neighborhood":[106,129],"between":[107],"its":[111],"reduct":[112],"studied.":[114],"second":[117],"by":[132],"among":[137],"them":[138],"also":[140],"discussed.":[141],"word,":[144],"provides":[148],"new":[150],"effective":[152],"approach":[153],"computation":[156],"sets.":[162]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}