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Bayesiansk inferens×Dempster-Shafer-teorien om evidens×Mulighedsteori×
FagområdeStatistikSoft computingSoft computing
FamilieBayesian methodsMachine learningMachine learning
Oprindelsesår176319761988
OphavspersonThomas Bayes; Pierre-Simon LaplaceArthur P. Dempster & Glenn ShaferLotfi Zadeh; Didier Dubois & Henri Prade
TypeProbabilistic inference paradigmUncertainty calculus for combining evidenceUncertainty quantification framework
Oprindelig kildeBayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London, 53, 370–418. link ↗Dempster, A. P. (1967). Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics, 38(2), 325–339. DOI ↗Dubois, D., & Prade, H. (1988). Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press. ISBN: 978-0-306-42520-2
AliasserBayes inference, Bayesian statistics, Bayesian updating, posterior inferenceevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theory
Relaterede343
ResuméBayesian inference is a statistical paradigm in which probability represents degrees of belief rather than long-run frequencies. It encodes prior knowledge about parameters in a prior distribution, combines that prior with the likelihood of observed data via Bayes' theorem, and produces a posterior distribution that quantifies updated uncertainty. The foundational theorem was published posthumously by Thomas Bayes in 1763 and subsequently systematized by Pierre-Simon Laplace in his 1812 Théorie analytique des probabilités.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.Possibility 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.
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ScholarGateSammenlign metoder: Bayesian Inference · Dempster-Shafer Theory · Possibility Theory. Hentet 2026-06-19 fra https://scholargate.app/da/compare