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সম্ভাব্যতা তত্ত্ব×ডেম্পস্টার-শেফার প্রমাণ তত্ত্ব×অনির্দিষ্ট সম্ভাবনা (Imprecise Probability)×
ক্ষেত্রসফট কম্পিউটিংসফট কম্পিউটিংসফট কম্পিউটিং
পরিবারMachine learningMachine learningBayesian methods
উদ্ভবের বছর198819761991
প্রবর্তকLotfi Zadeh; Didier Dubois & Henri PradeArthur P. Dempster & Glenn ShaferPeter Walley
ধরনUncertainty quantification frameworkUncertainty calculus for combining evidenceSet-valued probability model
মৌলিক উৎসDubois, 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 ↗Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5
অপর নামFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theoryevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık
সম্পর্কিত343
সারসংক্ষেপPossibility 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.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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ScholarGateপদ্ধতির তুলনা করুন: Possibility Theory · Dempster-Shafer Theory · Imprecise Probability. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare