{"id":"https://openalex.org/W2806199121","doi":"https://doi.org/10.3390/sym10060208","title":"Multi-Granulation Rough Set for Incomplete Interval-Valued Decision Information Systems Based on Multi-Threshold Tolerance Relation","display_name":"Multi-Granulation Rough Set for Incomplete Interval-Valued Decision Information Systems Based on Multi-Threshold Tolerance Relation","publication_year":2018,"publication_date":"2018-06-08","ids":{"openalex":"https://openalex.org/W2806199121","doi":"https://doi.org/10.3390/sym10060208","mag":"2806199121"},"language":"en","primary_location":{"id":"doi:10.3390/sym10060208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10060208","pdf_url":"https://www.mdpi.com/2073-8994/10/6/208/pdf?version=1528456732","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/6/208/pdf?version=1528456732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103282070","display_name":"Bingyan Lin","orcid":"https://orcid.org/0009-0009-5732-2266"},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingyan Lin","raw_affiliation_strings":["School of Sciences, Chongqing University of Technology, Chongqing 400054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, Chongqing University of Technology, Chongqing 400054, China","institution_ids":["https://openalex.org/I50632499"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084755916","display_name":"Weihua Xu","orcid":"https://orcid.org/0000-0001-7202-2573"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weihua Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing 400715, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084755916"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.3642,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89972595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"6","first_page":"208","last_page":"208"},"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":0.9429000020027161,"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/T14262","display_name":"Extenics and Innovation Methods","score":0.9330000281333923,"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":0.952292263507843},{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.8443725109100342},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.6743081212043762},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6047515869140625},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.587081253528595},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.5802528858184814},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5337154865264893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5117688179016113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49341002106666565},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47836369276046753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4391729533672333}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.952292263507843},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.8443725109100342},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.6743081212043762},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6047515869140625},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.587081253528595},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.5802528858184814},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5337154865264893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5117688179016113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49341002106666565},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47836369276046753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4391729533672333},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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":3,"locations":[{"id":"doi:10.3390/sym10060208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10060208","pdf_url":"https://www.mdpi.com/2073-8994/10/6/208/pdf?version=1528456732","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e14df491e2cd477a8516b2b3626dcd29","is_oa":true,"landing_page_url":"https://doaj.org/article/e14df491e2cd477a8516b2b3626dcd29","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 10, Iss 6, p 208 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/6/208/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym10060208","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10060208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10060208","pdf_url":"https://www.mdpi.com/2073-8994/10/6/208/pdf?version=1528456732","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2806199121.pdf","grobid_xml":"https://content.openalex.org/works/W2806199121.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1127541892","https://openalex.org/W1544830094","https://openalex.org/W1602051107","https://openalex.org/W1966546225","https://openalex.org/W1970087280","https://openalex.org/W1974088341","https://openalex.org/W1982028019","https://openalex.org/W1984663816","https://openalex.org/W1985682467","https://openalex.org/W1992926813","https://openalex.org/W1993717606","https://openalex.org/W2002165847","https://openalex.org/W2013217210","https://openalex.org/W2024638676","https://openalex.org/W2024933191","https://openalex.org/W2025027782","https://openalex.org/W2030179221","https://openalex.org/W2032284775","https://openalex.org/W2034998024","https://openalex.org/W2035374712","https://openalex.org/W2036999870","https://openalex.org/W2040254014","https://openalex.org/W2043904881","https://openalex.org/W2044201223","https://openalex.org/W2056172554","https://openalex.org/W2081474755","https://openalex.org/W2086785573","https://openalex.org/W2089860066","https://openalex.org/W2095290023","https://openalex.org/W2103509815","https://openalex.org/W2123456343","https://openalex.org/W2143050169","https://openalex.org/W2143089309","https://openalex.org/W2153676086","https://openalex.org/W2157494832","https://openalex.org/W2170755382","https://openalex.org/W2273389437","https://openalex.org/W2301612129","https://openalex.org/W2305735113","https://openalex.org/W2312577730","https://openalex.org/W2398220450","https://openalex.org/W2511098035","https://openalex.org/W2555933387","https://openalex.org/W2567141787","https://openalex.org/W2577748174","https://openalex.org/W2669680863","https://openalex.org/W2699869760","https://openalex.org/W2745346289","https://openalex.org/W2750916579","https://openalex.org/W2752796504","https://openalex.org/W2769125990","https://openalex.org/W4242193563","https://openalex.org/W4242975008","https://openalex.org/W4255833381","https://openalex.org/W6632555571","https://openalex.org/W6712743809","https://openalex.org/W6746205570"],"related_works":["https://openalex.org/W1795409297","https://openalex.org/W2508737459","https://openalex.org/W2734666672","https://openalex.org/W2385082087","https://openalex.org/W2013421631","https://openalex.org/W2390772058","https://openalex.org/W2282249876","https://openalex.org/W2978631811","https://openalex.org/W2367964367","https://openalex.org/W2374419214"],"abstract_inverted_index":{"A":[0,12,20],"relation":[1],"is":[2],"viewed":[3],"as":[4,46],"a":[5,8],"granularity":[6,60],"from":[7],"granular":[9],"computing":[10],"perspective.":[11],"classic":[13],"rough":[14,22,33,52,61,67,79,86,115],"set":[15,23,53,62,68,80,87],"contains":[16,24],"only":[17],"one":[18],"granularity.":[19],"multi-granulation":[21,78,85],"multiple":[25],"granularities,":[26],"which":[27,75],"promotes":[28],"the":[29,39,56,66,91,100,103,129,132],"applications":[30],"of":[31,58,105,114,131],"classical":[32],"set.":[34,116],"Firstly,":[35],"this":[36],"paper":[37],"uses":[38],"incomplete":[40],"interval-valued":[41],"decision":[42],"information":[43],"system":[44],"(IIVDIS)":[45],"research":[47],"object":[48],"and":[49,83,102],"constructs":[50],"two":[51,96,109],"models":[54],"in":[55,90],"light":[57],"single":[59],"model":[63,82,89],"for":[64,111],"applying":[65],"theory":[69],"to":[70,98,127],"real":[71],"life":[72],"more":[73],"widely,":[74],"are":[76,108,120],"optimistic":[77],"(OMGRS)":[81],"pessimistic":[84],"(PMGRS)":[88],"IIVDIS.":[92],"Secondly,":[93],"we":[94],"design":[95],"algorithms":[97],"compute":[99],"roughness":[101],"degree":[104],"dependence":[106],"that":[107],"tools":[110],"measuring":[112],"uncertainty":[113],"Finally,":[117],"several":[118],"experiments":[119],"performed":[121],"on":[122],"six":[123],"UCI":[124],"data":[125],"sets":[126],"verify":[128],"validity":[130],"proposed":[133],"theorems.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}