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Probabilité Imprécise×Théorie de Dempster-Shafer des évidences×Théorie des Possibilités×
DomaineSoft computingSoft computingSoft computing
FamilleBayesian methodsMachine learningMachine learning
Année d'origine199119761988
Auteur d'originePeter WalleyArthur P. Dempster & Glenn ShaferLotfi Zadeh; Didier Dubois & Henri Prade
TypeSet-valued probability modelUncertainty calculus for combining evidenceUncertainty quantification framework
Source fondatriceWalley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5Dempster, 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
AliasLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılıkevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theory
Apparentées343
RésuméImprecise 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.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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ScholarGateComparer des méthodes: Imprecise Probability · Dempster-Shafer Theory · Possibility Theory. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare