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证据的Dempster-Shafer理论×不精确概率×
领域软计算软计算
方法族Machine learningBayesian methods
起源年份19761991
提出者Arthur P. Dempster & Glenn ShaferPeter Walley
类型Uncertainty calculus for combining evidenceSet-valued probability model
开创性文献Dempster, A. P. (1967). Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics, 38(2), 325–339. DOI ↗Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5
别名evidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık
相关43
摘要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.Imprecise probability is a generalization of standard probability theory that represents epistemic uncertainty through sets of probability measures, called credal sets, rather than a single precise distribution. Introduced systematically by Peter Walley in his 1991 monograph, the framework characterizes beliefs via lower and upper probabilities (or previsions), bracketing the range of plausible probability assignments when available information is insufficient to determine a unique measure.
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ScholarGate方法对比: Dempster-Shafer Theory · Imprecise Probability. 于 2026-06-19 检索自 https://scholargate.app/zh/compare