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Dempster-Shafer-Theorie der Evidenz×Impräzise Wahrscheinlichkeit×
FachgebietSoft ComputingSoft Computing
FamilieMachine learningBayesian methods
Entstehungsjahr19761991
UrheberArthur P. Dempster & Glenn ShaferPeter Walley
TypUncertainty calculus for combining evidenceSet-valued probability model
Wegweisende QuelleDempster, 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
Aliasnamenevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık
Verwandt43
ZusammenfassungDempster-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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ScholarGateMethoden vergleichen: Dempster-Shafer Theory · Imprecise Probability. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare