{"id":"https://openalex.org/W1973686735","doi":"https://doi.org/10.1109/grc.2012.6468651","title":"Characterization of attribute reduction of decision system through matroid theory","display_name":"Characterization of attribute reduction of decision system through matroid theory","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W1973686735","doi":"https://doi.org/10.1109/grc.2012.6468651","mag":"1973686735"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468651","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/A5052789023","display_name":"Jianguo Tang","orcid":"https://orcid.org/0000-0001-6540-4039"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I94047373","display_name":"Xinjiang University of Finance and Economics","ror":"https://ror.org/00fk31757","country_code":"CN","type":"education","lineage":["https://openalex.org/I94047373"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianguo Tang","raw_affiliation_strings":["School of Compute r Science and Enginee ring, Xinjiang University of Finance and Economics, Urumqi, China","School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Compute r Science and Enginee ring, Xinjiang University of Finance and Economics, Urumqi, China","institution_ids":["https://openalex.org/I94047373"]},{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101560516","display_name":"Kun She","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun She","raw_affiliation_strings":["School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"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"],"affiliations":[{"raw_affiliation_string":"Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052789023"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I94047373"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06268064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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":1.0,"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":0.9251999855041504,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9488717317581177},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.7234802842140198},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.670901894569397},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.6646472215652466},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5934169292449951},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5539787411689758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5524628162384033},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.511459231376648},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5055103302001953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4228597581386566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3876853585243225},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34666377305984497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3000389337539673}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9488717317581177},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.7234802842140198},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.670901894569397},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.6646472215652466},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5934169292449951},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5539787411689758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5524628162384033},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.511459231376648},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5055103302001953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4228597581386566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3876853585243225},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34666377305984497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3000389337539673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468651","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":"Peace, Justice and strong institutions","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W74588876","https://openalex.org/W96192410","https://openalex.org/W1536681184","https://openalex.org/W1591618909","https://openalex.org/W1834136269","https://openalex.org/W1965680834","https://openalex.org/W1971790955","https://openalex.org/W1983426508","https://openalex.org/W1994425726","https://openalex.org/W2024638676","https://openalex.org/W2040599099","https://openalex.org/W2053623704","https://openalex.org/W2075340829","https://openalex.org/W2081814992","https://openalex.org/W2082173396","https://openalex.org/W2082266564","https://openalex.org/W2097923398","https://openalex.org/W2100658172","https://openalex.org/W2121772728","https://openalex.org/W2122937613","https://openalex.org/W2140349414","https://openalex.org/W2163185004","https://openalex.org/W2165267798","https://openalex.org/W2340020088","https://openalex.org/W4249577428","https://openalex.org/W4255288880","https://openalex.org/W4255306344","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W1984819493","https://openalex.org/W2058489697","https://openalex.org/W2625145881","https://openalex.org/W2159059797","https://openalex.org/W2072414647","https://openalex.org/W4246417054","https://openalex.org/W2106233458","https://openalex.org/W4226057593","https://openalex.org/W2006784845"],"abstract_inverted_index":{"Attribute":[0],"reduction":[1,43,50,127],"is":[2,55,64,85,103,156],"an":[3],"important":[4],"issue":[5,38],"in":[6,14,51,128,133,148],"rough":[7,129],"sets.":[8],"It":[9],"has":[10],"been":[11,33],"widely":[12],"used":[13],"pattern":[15],"recognition,":[16],"machine":[17],"learning":[18],"and":[19,30,74,110,114],"data":[20],"mining.":[21],"Many":[22],"mathematical":[23],"theories,":[24],"such":[25],"as":[26],"fuzzy":[27],"sets,":[28],"lattice":[29],"matrix,":[31],"have":[32],"applied":[34],"to":[35,66,158,168],"study":[36],"the":[37,48,52,71,75,93,98,107,112,115,134,161,169],"for":[39,141],"constructing":[40],"more":[41],"effective":[42],"algorithms.":[44],"In":[45,77],"this":[46,78],"paper,":[47],"attribute":[49,126,171],"decision":[53,72,83,151,170],"system":[54,73,84],"conducted":[56],"under":[57],"matroid":[58,61,137],"theory.":[59],"The":[60],"approximation":[62,138],"space":[63],"proposed":[65,157],"build":[67],"a":[68,80,149,153],"bridge":[69],"between":[70],"matroid.":[76],"way,":[79],"single":[81],"valued":[82],"represented":[86],"by":[87],"several":[88],"matroids":[89],"directly.":[90],"By":[91],"using":[92],"circuits":[94],"of":[95,100,125,136,145,164],"these":[96],"matroids,":[97],"concept":[99],"equivalence":[101],"class":[102],"formulated":[104],"equivalently":[105],"with":[106,166],"matroidal":[108,117],"approach":[109],"then":[111],"lower":[113],"upper":[116],"approximations":[118],"are":[119,131,172],"established.":[120],"Furthermore,":[121],"some":[122],"basic":[123],"concepts":[124],"sets":[130],"redescribed":[132],"context":[135],"space.":[139],"Finally,":[140],"any":[142],"two":[143],"subsets":[144],"condition":[146,155],"attributes":[147],"consistent":[150],"system,":[152],"sufficient":[154],"judge":[159],"whether":[160],"positive":[162],"regions":[163],"them":[165],"respect":[167],"equal.":[173]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}