{"id":"https://openalex.org/W2145567442","doi":"https://doi.org/10.1109/icsmc.2004.1400675","title":"Belief measures conditioned on random set","display_name":"Belief measures conditioned on random set","publication_year":2005,"publication_date":"2005-03-31","ids":{"openalex":"https://openalex.org/W2145567442","doi":"https://doi.org/10.1109/icsmc.2004.1400675","mag":"2145567442"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2004.1400675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2004.1400675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5010028964","display_name":"Yongchuan Tang","orcid":"https://orcid.org/0000-0001-9344-0491"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongchuan Tang","raw_affiliation_strings":["College of Computer Science, University of Zhejiang, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, University of Zhejiang, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086974045","display_name":"Jiacheng Zheng","orcid":"https://orcid.org/0000-0001-9663-6692"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiacheng Zheng","raw_affiliation_strings":["College of Economics, University of Zhejiang, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics, University of Zhejiang, Hangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003915148","display_name":"Yangguang Liu","orcid":"https://orcid.org/0000-0001-9468-9651"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangguang Liu","raw_affiliation_strings":["College of Computer Science, University of Zhejiang, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, University of Zhejiang, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114061948","display_name":"Shouqian Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouqian Sun","raw_affiliation_strings":["College of Computer Science, University of Zhejiang, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, University of Zhejiang, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2319","last_page":"2325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.996999979019165,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.996399998664856,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9621000289916992,"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6293989419937134},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.607695460319519},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.544037401676178},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5240098237991333},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.47960031032562256},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4702374339103699},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.44101086258888245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3596426248550415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33347249031066895},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19162914156913757},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18135607242584229}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6293989419937134},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.607695460319519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.544037401676178},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5240098237991333},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.47960031032562256},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4702374339103699},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.44101086258888245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3596426248550415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33347249031066895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19162914156913757},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18135607242584229},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2004.1400675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2004.1400675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1520401728","https://openalex.org/W1545497312","https://openalex.org/W1704644540","https://openalex.org/W1965555277","https://openalex.org/W1986199755","https://openalex.org/W2026332415","https://openalex.org/W2117079761","https://openalex.org/W2128887975","https://openalex.org/W2133752818","https://openalex.org/W2404214748","https://openalex.org/W2406470551","https://openalex.org/W3016200050","https://openalex.org/W4301347335","https://openalex.org/W6637671124"],"related_works":["https://openalex.org/W2951801950","https://openalex.org/W1987264987","https://openalex.org/W2414667732","https://openalex.org/W2183396261","https://openalex.org/W4297670780","https://openalex.org/W1482189126","https://openalex.org/W2088035512","https://openalex.org/W2340232283","https://openalex.org/W2122857041","https://openalex.org/W162901985"],"abstract_inverted_index":{"Conditioning":[0],"is":[1,22,31,60,72,106,117,131,161,170,188],"the":[2,29,33,43,70,102,109,120,134,141,149,167,174,177,184],"generally":[3],"agreed-upon":[4],"method":[5],"for":[6,85],"updating":[7,44,169],"a":[8,13,46,56,63,87,91,96,153],"priori":[9,47,57,88,143],"knowledge":[10,58,168],"representable":[11,61,73],"by":[12,62,74,182],"probability":[14,48,89,98,130,144,180],"distribution":[15,99],"when":[16,66],"one":[17,26,67],"learns":[18,27,68],"that":[19,28,69],"an":[20],"event":[21],"certainly":[23],"true.":[24],"When":[25],"observation":[30,71],"uncertain,":[32],"rule":[34,93,110,116,123,187],"of":[35,45,111,176,179],"cross-entropy":[36,112],"minimization":[37],"can":[38],"be":[39],"used":[40],"to":[41,54,80,94,140],"handle":[42],"distribution.":[49,145],"This":[50],"paper":[51],"examines":[52],"how":[53],"update":[55],"which":[59],"random":[64,76,104,136,159],"set,":[65],"another":[75],"set.":[77],"In":[78],"order":[79],"resolve":[81],"this":[82,114,125,191],"problem,":[83],"firstly,":[84],"each":[86],"distribution,":[90],"conditioning":[92,115],"define":[95],"posterior":[97,129],"conditioned":[100,157],"on":[101,148,158],"observed":[103,135],"set":[105,137,160],"derived":[107,128,162],"from":[108],"minimization,":[113],"called":[118],"as":[119],"generalized":[121,185],"Jeffrey's":[122,151,186],"in":[124,190],"paper.":[126,192],"The":[127],"compatible":[132],"with":[133,166],"and":[138,163],"'close'":[139],"original":[142],"Secondly,":[146],"based":[147],"general":[150],"rule,":[152],"new":[154],"belief":[155],"measure":[156],"its":[164],"relationship":[165],"discussed.":[171],"At":[172],"last,":[173],"convergence":[175],"sequence":[178],"distributions":[181],"applying":[183],"discussed":[189]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}