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نظریه امکان (Possibility Theory)×نظریه شواهد دمپستر-شافر×
حوزهمحاسبات نرممحاسبات نرم
خانوادهMachine learningMachine learning
سال پیدایش19881976
پدیدآورLotfi Zadeh; Didier Dubois & Henri PradeArthur P. Dempster & Glenn Shafer
نوعUncertainty quantification frameworkUncertainty calculus for combining evidence
منبع بنیادینDubois, 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 ↗
نام‌های دیگرFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theoryevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi
مرتبط34
خلاصهPossibility 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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ScholarGateمقایسهٔ روش‌ها: Possibility Theory · Dempster-Shafer Theory. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare