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Lý thuyết Khả thể×Lý thuyết bằng chứng Dempster-Shafer×
Lĩnh vựcTính toán mềmTính toán mềm
HọMachine learningMachine learning
Năm ra đời19881976
Người khởi xướngLotfi Zadeh; Didier Dubois & Henri PradeArthur P. Dempster & Glenn Shafer
LoạiUncertainty quantification frameworkUncertainty calculus for combining evidence
Công trình gốcDubois, D., & Prade, H. (1988). Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press. ISBN: 978-0-306-42520-2Dempster, A. P. (1967). Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics, 38(2), 325–339. DOI ↗
Tên gọi khácFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theoryevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi
Liên quan34
Tóm tắtPossibility Theory is a mathematical framework for representing and reasoning under uncertainty, introduced by Lotfi Zadeh in 1978 and systematically developed by Didier Dubois and Henri Prade in their 1988 monograph. It uses possibility distributions — functions assigning a degree in [0,1] to each element of a universe — to encode what is plausible or consistent with available information, complementing probability theory for situations where data is scarce or knowledge is imprecise.Dempster-Shafer theory is a mathematical framework for reasoning under uncertainty that generalizes Bayesian probability by representing ignorance explicitly. Instead of forcing a single probability on each hypothesis, it assigns belief mass to sets of hypotheses and derives a belief-plausibility interval, and it provides Dempster's rule for fusing evidence from multiple independent sources. Developed from Arthur Dempster's 1967 work and Glenn Shafer's 1976 monograph, it underpins evidential reasoning and sensor/decision fusion.
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