{"id":"https://openalex.org/W1980170535","doi":"https://doi.org/10.1109/grc.2012.6468577","title":"Matroidal structure of covering rough sets based on multigranulation","display_name":"Matroidal structure of covering rough sets based on multigranulation","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W1980170535","doi":"https://doi.org/10.1109/grc.2012.6468577","mag":"1980170535"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468577","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/A5101684855","display_name":"Jing Huang","orcid":"https://orcid.org/0000-0002-5990-8027"},"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":"Jing Huang","raw_affiliation_strings":["Department of Mathematics, Zhangzhou normal University, Zhangzhou, China","Department of Mathematics, Zhangzhou normal University, 363000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhangzhou normal University, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"Department of Mathematics, 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/A5101684855"],"corresponding_institution_ids":["https://openalex.org/I9356336"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06773844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"195","last_page":"200"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9604518413543701},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.8177539110183716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.690583348274231},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6237585544586182},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47172489762306213},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.4494372308254242},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4435015618801117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4379188120365143},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4349515736103058},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.42999541759490967},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.3829219937324524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23591968417167664},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2130683958530426}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9604518413543701},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8177539110183716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.690583348274231},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6237585544586182},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47172489762306213},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.4494372308254242},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4435015618801117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4379188120365143},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4349515736103058},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.42999541759490967},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.3829219937324524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23591968417167664},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2130683958530426},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468577","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":[{"display_name":"Life in Land","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W74588876","https://openalex.org/W1573453084","https://openalex.org/W1983426508","https://openalex.org/W1988907639","https://openalex.org/W1994425726","https://openalex.org/W2007262119","https://openalex.org/W2027654459","https://openalex.org/W2041596646","https://openalex.org/W2121772728","https://openalex.org/W2134866037","https://openalex.org/W2170755382","https://openalex.org/W2305735113","https://openalex.org/W4255833381","https://openalex.org/W6634325861"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W2058489697","https://openalex.org/W2625145881","https://openalex.org/W1984819493","https://openalex.org/W2159059797","https://openalex.org/W2106233458","https://openalex.org/W4246417054","https://openalex.org/W2072414647","https://openalex.org/W4226057593","https://openalex.org/W2106412416"],"abstract_inverted_index":{"MuItigranulation":[0],"rough":[1,11,20,27,41,107],"sets":[2,12],"provide":[3],"an":[4],"effective":[5],"way":[6],"to":[7,17,35],"extend":[8],"the":[9,81,95,98,103,111,121,130],"classical":[10,26],"based":[13,38],"on":[14,39],"single":[15,32,66],"granulation":[16,33,67],"muItigranulation.":[18],"Covering":[19],"set":[21,108],"is":[22],"a":[23,48,60,71,116],"generalisation":[24],"of":[25,53,73,87,129],"set.":[28,42],"This":[29],"paper":[30],"extends":[31],"matroid":[34,37,50,75,100,133],"muItigranulation":[36,49,61,74,104,118,122,126,132],"covering":[40],"On":[43,110],"one":[44],"hand,":[45,113],"we":[46,58,114],"construct":[47],"through":[51],"union":[52],"several":[54],"independent":[55],"sets.":[56],"Then":[57],"define":[59],"rank":[62,68,83,123],"function":[63,84,124],"from":[64],"many":[65],"functions.":[69],"Moreover,":[70],"pair":[72],"approximation":[76,89,127],"operators":[77,90],"are":[78,91,134],"described":[79],"by":[80],"multigranulation":[82,99],"and":[85,102,125],"properties":[86],"these":[88],"studied.":[92],"We":[93],"present":[94],"relationship":[96],"between":[97],"approximations":[101,105],"in":[106],"model.":[109],"other":[112],"propose":[115],"dual":[117,131],"matroid.":[119],"Furthermore,":[120],"operator":[128],"obtained.":[135]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}