{"id":"https://openalex.org/W2904422870","doi":"https://doi.org/10.1109/access.2018.2885941","title":"Topological Analysis on the Belief Rule Base Space","display_name":"Topological Analysis on the Belief Rule Base Space","publication_year":2018,"publication_date":"2018-12-10","ids":{"openalex":"https://openalex.org/W2904422870","doi":"https://doi.org/10.1109/access.2018.2885941","mag":"2904422870"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2885941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08571221.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08571221.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035461109","display_name":"Caiyun Niu","orcid":"https://orcid.org/0000-0002-6926-6398"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caiyun Niu","raw_affiliation_strings":["College of Systems Engineering, National University of Defense Technology, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027785791","display_name":"Leilei Chang","orcid":"https://orcid.org/0000-0002-0126-0635"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leilei Chang","raw_affiliation_strings":["Department of Management, High-Tech Institute of Xi\u2019an, Xi\u2019an, China","Department of Management, High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-0126-0635","affiliations":[{"raw_affiliation_string":"Department of Management, High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"Department of Management, High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086265495","display_name":"Jianbin Sun","orcid":"https://orcid.org/0000-0003-2020-5057"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianbin Sun","raw_affiliation_strings":["College of Systems Engineering, National University of Defense Technology, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002816626","display_name":"Yu\u2010Wang Chen","orcid":"https://orcid.org/0000-0002-2007-1821"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yuwang Chen","raw_affiliation_strings":["Manchester Business School, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manchester Business School, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2145,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5898927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"857","last_page":"865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9617999792098999,"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":0.9617999792098999,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9067999720573425,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/base","display_name":"Base (topology)","score":0.5188688039779663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.50821852684021},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.49209707975387573},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46130090951919556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31536954641342163},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15122437477111816},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09362268447875977}],"concepts":[{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5188688039779663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.50821852684021},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.49209707975387573},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46130090951919556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31536954641342163},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15122437477111816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09362268447875977},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2885941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08571221.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2a2ba93e4842410985feef7f1cdd1f04","is_oa":true,"landing_page_url":"https://doaj.org/article/2a2ba93e4842410985feef7f1cdd1f04","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":"IEEE Access, Vol 7, Pp 857-865 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2885941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08571221.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1413719573","display_name":"\u57fa\u4e8e\u7f6e\u4fe1\u89c4\u5219\u5e93\u6700\u4f18\u51b3\u7b56\u7ed3\u6784\u7684\u88c5\u5907\u4f53\u7cfb\u4fdd\u969c\u6027\u8bc4\u4f30\u65b9\u6cd5\u7814\u7a76","funder_award_id":"71601180","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1599885160","display_name":"\u6570\u636e\u9a71\u52a8\u7684\u519b\u4e8b\u590d\u6742\u7cfb\u7edf\u98ce\u9669\u51b3\u7b56\u5206\u6790\u65b9\u6cd5\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"71671186","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904422870.pdf","grobid_xml":"https://content.openalex.org/works/W2904422870.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1993396185","https://openalex.org/W1993853885","https://openalex.org/W2020430012","https://openalex.org/W2022750040","https://openalex.org/W2023847783","https://openalex.org/W2031395593","https://openalex.org/W2049337423","https://openalex.org/W2055988602","https://openalex.org/W2072348410","https://openalex.org/W2100369959","https://openalex.org/W2109034551","https://openalex.org/W2114541394","https://openalex.org/W2114916723","https://openalex.org/W2129048010","https://openalex.org/W2140364226","https://openalex.org/W2154127879","https://openalex.org/W2158418210","https://openalex.org/W2170515401","https://openalex.org/W2546521646","https://openalex.org/W2596315779","https://openalex.org/W2771114307","https://openalex.org/W2799963480","https://openalex.org/W4236577982"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0,132],"belief":[1,28],"rule":[2,8,65,77],"base":[3],"(BRB)":[4],"uses":[5],"the":[6,26,31,36,54,72,76,90,95,103,107,113,124,129],"\u201cIF-THEN\u201d":[7],"to":[9,121],"handle":[10],"different":[11],"types":[12],"of":[13,100,106],"information":[14],"under":[15],"uncertainty,":[16],"and":[17,75,88,97,134],"then":[18],"transforms":[19],"them":[20],"into":[21],"a":[22,42,64,69,84,140],"unified":[23],"result":[24],"in":[25,66,71,112],"same":[27],"structure":[29],"as":[30,139],"input.":[32],"In":[33],"this":[34],"paper,":[35],"BRB":[37,55,67,73,114,130],"space":[38,56,74],"is":[39,57,68,83,119],"analyzed":[40],"from":[41,94],"new":[43],"topological":[44,126],"perspective,":[45],"based":[46],"on":[47,128],"which":[48],"three":[49],"conclusions":[50],"are":[51,137],"derived:":[52],"1)":[53],"an":[58],"attribute":[59],"product":[60,105],"measure":[61],"space;":[62],"2)":[63],"vector":[70,85,91],"integration":[78],"process":[79],"by":[80],"any":[81],"input":[82],"calculation":[86,92],"process,":[87],"3)":[89],"follows":[93],"commutative":[96],"associative":[98],"laws":[99],"addition":[101],"while":[102],"dot":[104],"vectors":[108],"reflects":[109],"their":[110],"distance":[111],"space.":[115,131],"An":[116],"illustrative":[117],"example":[118],"given":[120],"better":[122],"clarify":[123],"proposed":[125],"analysis":[127],"limitations":[133],"future":[135],"work":[136],"investigated":[138],"conclusion.":[141]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}