{"id":"https://openalex.org/W2896905879","doi":"https://doi.org/10.1155/2018/7125931","title":"A Pythagorean Fuzzy Multigranulation Probabilistic Model for Mine Ventilator Fault Diagnosis","display_name":"A Pythagorean Fuzzy Multigranulation Probabilistic Model for Mine Ventilator Fault Diagnosis","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2896905879","doi":"https://doi.org/10.1155/2018/7125931","mag":"2896905879"},"language":"en","primary_location":{"id":"doi:10.1155/2018/7125931","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/7125931","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/7125931.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2018/7125931.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074521284","display_name":"Chao Zhang","orcid":"https://orcid.org/0000-0001-6248-9962"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Zhang","raw_affiliation_strings":["Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi, China sxu.edu.cn","Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi, China sxu.edu.cn","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100698996","display_name":"Deyu Li","orcid":"https://orcid.org/0000-0003-2489-9404"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Deyu Li","raw_affiliation_strings":["Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi, China sxu.edu.cn","Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi"],"raw_orcid":"https://orcid.org/0000-0003-2489-9404","affiliations":[{"raw_affiliation_string":"Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi, China sxu.edu.cn","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006 Shanxi","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005267550","display_name":"Yimin Mu","orcid":"https://orcid.org/0000-0003-2986-1341"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimin Mu","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China sjtu.edu.cn","School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China sjtu.edu.cn","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111457462","display_name":"Dong Song","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115395","display_name":"Taiyuan Institute of Technology","ror":"https://ror.org/02d0fkx94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115395"]},{"id":"https://openalex.org/I4210151703","display_name":"China Coal Technology and Engineering Group Corp (China)","ror":"https://ror.org/045d9gj14","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210151703"]},{"id":"https://openalex.org/I4210165649","display_name":"China Coal Research Institute (China)","ror":"https://ror.org/05dy2c135","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210165649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Song","raw_affiliation_strings":["Taiyuan Institute of China Coal Technology and Engineering Group, Taiyuan, 030006 Shanxi, China ccteg.cn","Taiyuan Institute of China Coal Technology and Engineering Group, Taiyuan, 030006 Shanxi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Taiyuan Institute of China Coal Technology and Engineering Group, Taiyuan, 030006 Shanxi, China ccteg.cn","institution_ids":["https://openalex.org/I4210115395","https://openalex.org/I4210151703","https://openalex.org/I4210165649"]},{"raw_affiliation_string":"Taiyuan Institute of China Coal Technology and Engineering Group, Taiyuan, 030006 Shanxi","institution_ids":["https://openalex.org/I4210151703"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100698996"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":1.8977,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87766927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9984999895095825,"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":0.9984999895095825,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11357","display_name":"Risk and Safety Analysis","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.8291639685630798},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6458510160446167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5473478436470032},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.5292664766311646},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.527825653553009},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3936408758163452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3359622359275818},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2768951952457428},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12841054797172546},{"id":"https://openalex.org/keywords/seismology","display_name":"Seismology","score":0.07504558563232422}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8291639685630798},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6458510160446167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5473478436470032},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.5292664766311646},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.527825653553009},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3936408758163452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3359622359275818},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2768951952457428},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12841054797172546},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.07504558563232422},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/7125931","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/7125931","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/7125931.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:7125931","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/7125931.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:9bf21e48b5834558989f57862b7aaa94","is_oa":true,"landing_page_url":"https://doaj.org/article/9bf21e48b5834558989f57862b7aaa94","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":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/7125931","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/7125931","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/7125931.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G2205878603","display_name":"\u57fa\u4e8e\u6807\u8bb0\u6982\u5ff5\u76d1\u7763\u7684\u591a\u6807\u8bb0\u7c92\u8ba1\u7b97\u7406\u8bba\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61672331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2211436136","display_name":null,"funder_award_id":"2015091001-0102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3061496617","display_name":null,"funder_award_id":"201601D021076","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G3176834157","display_name":null,"funder_award_id":"2015091001-0102","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G3332554125","display_name":null,"funder_award_id":"U1435212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5783169264","display_name":null,"funder_award_id":"61432011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7394022991","display_name":null,"funder_award_id":"201601D021072","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G7618226178","display_name":null,"funder_award_id":"201601D021076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7861765440","display_name":null,"funder_award_id":"61806116","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8224777754","display_name":null,"funder_award_id":"61573231","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2896905879.pdf","grobid_xml":"https://content.openalex.org/works/W2896905879.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W202198668","https://openalex.org/W591364140","https://openalex.org/W1470723969","https://openalex.org/W1564232874","https://openalex.org/W1606022329","https://openalex.org/W1668569279","https://openalex.org/W1704544815","https://openalex.org/W1829951598","https://openalex.org/W1963531044","https://openalex.org/W1969463949","https://openalex.org/W1979378303","https://openalex.org/W1980564456","https://openalex.org/W1997362234","https://openalex.org/W2001692054","https://openalex.org/W2005745102","https://openalex.org/W2006873874","https://openalex.org/W2013932252","https://openalex.org/W2028095785","https://openalex.org/W2033415298","https://openalex.org/W2038166912","https://openalex.org/W2046608663","https://openalex.org/W2047225968","https://openalex.org/W2070813883","https://openalex.org/W2079457935","https://openalex.org/W2083521084","https://openalex.org/W2084718108","https://openalex.org/W2104077967","https://openalex.org/W2107566963","https://openalex.org/W2141372844","https://openalex.org/W2170755382","https://openalex.org/W2172368975","https://openalex.org/W2176298897","https://openalex.org/W2215524969","https://openalex.org/W2272142993","https://openalex.org/W2343561906","https://openalex.org/W2345854887","https://openalex.org/W2346494717","https://openalex.org/W2346610881","https://openalex.org/W2515748156","https://openalex.org/W2542749295","https://openalex.org/W2549504134","https://openalex.org/W2554676782","https://openalex.org/W2586356223","https://openalex.org/W2607909519","https://openalex.org/W2732674005","https://openalex.org/W2739534728","https://openalex.org/W2756350556","https://openalex.org/W2764281603","https://openalex.org/W2765367188","https://openalex.org/W2772332129","https://openalex.org/W2772794611","https://openalex.org/W2776909601","https://openalex.org/W2782087892","https://openalex.org/W2788343515","https://openalex.org/W2791378063","https://openalex.org/W2791638390","https://openalex.org/W2800633779","https://openalex.org/W2800724825","https://openalex.org/W2803228996","https://openalex.org/W2803341335","https://openalex.org/W2809266330","https://openalex.org/W2890144670","https://openalex.org/W2997864005","https://openalex.org/W4211007335","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4210969441","https://openalex.org/W4313271080","https://openalex.org/W4378767041","https://openalex.org/W2050612014","https://openalex.org/W3166167233","https://openalex.org/W2387128994","https://openalex.org/W3093594498","https://openalex.org/W2894968817"],"abstract_inverted_index":{"In":[0,71,104,194],"coal":[1],"mining":[2],"industry,":[3],"the":[4,16,27,105,109,123,145,160,165,170,195,209,223,268,271,290,293],"running":[5],"state":[6],"of":[7,21,33,38,45,96,107,201,212,222,255,270,292],"mine":[8,34,67,80,110,236,259],"ventilators":[9],"plays":[10],"an":[11],"extremely":[12],"significant":[13],"role":[14],"for":[15,66,235],"safe":[17],"and":[18,31,41,53,129,136,155,274,281],"reliable":[19],"operation":[20],"various":[22],"industrial":[23],"productions.":[24],"To":[25],"guarantee":[26],"better":[28],"reliability,":[29],"safety,":[30],"economy":[32],"ventilators,":[35],"in":[36],"view":[37],"early":[39],"detection":[40],"effective":[42],"fault":[43,69,82,112,238,261],"diagnosis":[44,83,113,239,262],"mechanical":[46],"faults":[47],"which":[48],"could":[49,121,149],"prevent":[50],"unscheduled":[51],"downtime":[52],"minimize":[54],"maintenance":[55],"fees,":[56],"it":[57],"is":[58,247,264],"imperative":[59],"to":[60,76,85,98,169,176,266,288],"construct":[61],"some":[62],"viable":[63],"mathematical":[64],"models":[65],"ventilator":[68,81,111,237,260],"diagnosis.":[70],"this":[72],"article,":[73],"we":[74,158],"plan":[75],"establish":[77,178],"a":[78,99,179,230,251,258,275,278,282],"data\u2010based":[79],"method":[84],"handle":[86,151],"situations":[87],"where":[88],"engineers":[89,213],"are":[90,94,214,227,285],"absent":[91],"or":[92],"they":[93],"incapable":[95],"coming":[97],"conclusion":[100],"from":[101],"multisource":[102],"data.":[103],"process":[106],"building":[108],"model,":[114,273],"considering":[115],"that":[116],"probabilistic":[117,186,233],"rough":[118,140,187],"sets":[119,141,188],"(PRSs)":[120],"reduce":[122],"errors":[124],"triggered":[125],"by":[126],"incompleteness,":[127],"inconsistency,":[128],"inaccuracy":[130],"without":[131],"needing":[132],"any":[133],"additional":[134],"assumptions":[135],"Pythagorean":[137,183],"fuzzy":[138,184],"multigranulation":[139,185,232],"(PF":[142,189],"MGRSs)":[143],"over":[144,164,191,204,244],"two":[146,166,192,205,245],"universes\u2019":[147,167],"model":[148,168,181,226,234],"effectively":[150],"data":[152],"representation,":[153],"fusion,":[154],"analysis":[156,284],"issues,":[157],"generalize":[159],"existing":[161],"PF":[162,202,231,242],"MGRSs":[163],"PRS":[171],"setting,":[172],"as":[173,175],"well":[174],"further":[177,286],"novel":[180],"named":[182],"MG\u2010PRSs)":[190],"universes.":[193],"granular":[196],"computing":[197],"paradigm,":[198],"three":[199],"types":[200],"MG\u2010PRSs":[203,243],"universes":[206,246],"based":[207,240],"on":[208,241],"risk":[210],"attitude":[211],"proposed":[215,225],"at":[216],"first.":[217],"Afterwards,":[218],"several":[219],"basic":[220],"propositions":[221],"newly":[224],"explored.":[228],"Moreover,":[229],"investigated.":[248],"At":[249],"last,":[250],"real\u2010world":[252],"case":[253],"study":[254],"dealing":[256],"with":[257],"problem":[263],"given":[265],"illustrate":[267],"practicality":[269],"presented":[272,294],"validity":[276],"test,":[277],"sensitivity":[279],"analysis,":[280],"comparison":[283],"explored":[287],"demonstrate":[289],"effectiveness":[291],"model.":[295]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}