{"id":"https://openalex.org/W617181834","doi":null,"title":"Monte-Carlo methods make Dempster-Shafer formalism feasible","display_name":"Monte-Carlo methods make Dempster-Shafer formalism feasible","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W617181834","mag":"617181834"},"language":"en","primary_location":{"id":"pmh:oai:casi.ntrs.nasa.gov:19930015951","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2060/19930015951","pdf_url":"http://hdl.handle.net/2060/19930015951","source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":"NAS 1.26:192945"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2060/19930015951","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650","observed_orcids":["https://orcid.org/0000-0002-1244-1650"]},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","raw_affiliation_strings":["Texas Univ. El Paso., United States"],"raw_orcid":"https://orcid.org/0000-0002-1244-1650","affiliations":[{"raw_affiliation_string":"Texas Univ. El Paso., United States","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041910009","display_name":"A. P. Bernat","orcid":"https://orcid.org/0000-0002-5955-9015","observed_orcids":["https://orcid.org/0000-0002-5955-9015"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew Bernat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001207572","display_name":"Walter Borrett","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Walter Borrett","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076416876","display_name":"Yvonne Mariscal","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yvonne Mariscal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013766382","display_name":"Elsa Villa","orcid":"https://orcid.org/0000-0003-1279-7662","observed_orcids":["https://orcid.org/0000-0003-1279-7662"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elsa Villa","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1279-7662","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7286,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.94474708,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"175","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8583999872207642,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8583999872207642,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.061500001698732376,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.024299999698996544,"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/dempster-shafer-evidence-theory","display_name":"Dempster-Shafer theory","score":0.9789999723434448},{"id":"https://openalex.org/keywords/monte-carlo-methods","display_name":"Monte Carlo methods","score":0.75},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.9559999704360962},{"id":"https://openalex.org/keywords/belief-function-theory","display_name":"belief functions","score":0.6029999852180481},{"id":"https://openalex.org/keywords/exponential-time-lower-bound","display_name":"exponential time lower bounds","score":0.6110000014305115},{"id":"https://openalex.org/keywords/approximate-computing","display_name":"approximate computing","score":0.39100000262260437}],"concepts":[{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.7615756988525391},{"id":"https://openalex.org/C178011137","wikidata":"https://www.wikidata.org/wiki/Q285997","display_name":"Dempster\u2013Shafer theory","level":2,"score":0.6798181533813477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5738416910171509},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5073184370994568},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4945234954357147},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.49275901913642883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48969534039497375},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4148567318916321},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38580644130706787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32747167348861694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3195701837539673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:casi.ntrs.nasa.gov:19930015951","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2060/19930015951","pdf_url":"http://hdl.handle.net/2060/19930015951","source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":"NAS 1.26:192945"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.133.5069","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.133.5069","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19930015951_1993015951.pdf","raw_type":"text"},{"id":"mag:617181834","doi":null,"is_oa":false,"landing_page_url":"https://ntrs.nasa.gov/api/citations/19930015951/downloads/19930015951.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306463503","display_name":"John Wiley & Sons, Inc. eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"John Wiley & Sons, Inc. eBooks","raw_type":null}],"best_oa_location":{"id":"pmh:oai:casi.ntrs.nasa.gov:19930015951","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2060/19930015951","pdf_url":"http://hdl.handle.net/2060/19930015951","source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":"NAS 1.26:192945"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W617181834.pdf","grobid_xml":"https://content.openalex.org/works/W617181834.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1539545548","https://openalex.org/W1548393869","https://openalex.org/W1579343146","https://openalex.org/W1978468205","https://openalex.org/W2011039300","https://openalex.org/W2077563900","https://openalex.org/W2087436555","https://openalex.org/W2093961757","https://openalex.org/W2107091259","https://openalex.org/W2132996183","https://openalex.org/W2797148637"],"related_works":["https://openalex.org/W2950130689","https://openalex.org/W2004190988","https://openalex.org/W3148720306","https://openalex.org/W1508987670","https://openalex.org/W7100000882","https://openalex.org/W4220841120","https://openalex.org/W7098530767","https://openalex.org/W42096951","https://openalex.org/W2098127136","https://openalex.org/W30075989"],"abstract_inverted_index":{"Abstract:":[0],"One":[1],"of":[2,9,22,146],"the":[3,7,65,96,128,139,166,174,180,184,191],"main":[4],"obstacles":[5],"to":[6,30,33,63,85,95,113,151],"applications":[8],"Dempster-Shafer":[10],"formalism":[11],"is":[12,42,76,79,108,120,123,133,142,149],"its":[13],"computational":[14,36],"complexity.":[15],"If":[16,163],"we":[17,28,61,83,164],"combine":[18],"rn":[19],"different":[20],"pieces":[21],"knowledge,":[23,130],"then":[24,73],"in":[25,68,111,127,183],"general":[26,185],"case":[27],"have":[29,53,152],"perform":[31],"up":[32],"2":[34],"m":[35,41],"steps,":[37],"which":[38],"for":[39,190],"large":[40],"infeasible.":[43],"For":[44],"several":[45],"important":[46],"cases":[47],"algorithms":[48],"with":[49,88],"smaller":[50],"running":[51,175],"time":[52,75],"been":[54],"proposed.":[55],"We":[56,187],"prove,":[57],"however,":[58],"that":[59,99,121,138,147,155,189],"if":[60,82],"want":[62,84],"compute":[64,86,114],"belief":[66],"bd(Q)":[67],"any":[69],"given":[70,89],"query":[71],"Q,":[72],"exponential":[74],"inevitable.":[77],"It":[78],"still":[80,178],"inevitable,":[81],"bel(Q)":[87],"precision":[90],"e.":[91],"This":[92],"restric-tion":[93],"corresponds":[94],"natural":[97],"idea":[98,119],"since":[100],"initial":[101],"masses":[102],"are":[103],"known":[104],"only":[105],"approximately,":[106],"there":[107,122,132],"no":[109],"sense":[110],"trying":[112],"beI(Q)":[115],"precisely.":[116],"A":[117],"further":[118],"al-ways":[124],"some":[125],"doubt":[126],"whole":[129],"so":[131],"always":[134],"a":[135,157,160],"probability":[136],"P0":[137],"expert's":[140],"knowledge":[141],"wrong.":[143],"In":[144],"view":[145],"it":[148],"sufficient":[150],"an":[153],"algorithm":[154],"gives":[156],"correct":[158],"answer":[159],"probability>":[161],"1-P0.":[162],"use":[165],"original":[167],"Dempster's":[168],"combination":[169,193],"rule,":[170],"this":[171],"possibility":[172],"diminishes":[173],"time,":[176],"but":[177],"leaves":[179],"problem":[181],"infeasible":[182],"case.":[186],"show":[188],"alternative":[192],"rules":[194],"proposed":[195],"by":[196],"Smets":[197],"and":[198],"Yager":[199]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
