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可能性理论×证据的Dempster-Shafer理论×粒计算(信息粒化)×
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方法族Machine learningMachine learningMachine learning
起源年份198819761997
提出者Lotfi Zadeh; Didier Dubois & Henri PradeArthur P. Dempster & Glenn ShaferLotfi A. Zadeh (information granulation); developed by Pedrycz, Skowron, Yao
类型Uncertainty quantification frameworkUncertainty calculus for combining evidenceFramework for multi-granularity information processing
开创性文献Dubois, 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 ↗Zadeh, L. A. (1997). Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems, 90(2), 111–127. DOI ↗
别名Fuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theoryevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisiinformation granulation, computing with granules, three-way granular computing, tanecikli hesaplama
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摘要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.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.Granular computing is a problem-solving paradigm that processes information in 'granules' — clumps of objects drawn together by indistinguishability, similarity, or functionality — rather than at the level of individual data points. Articulated by Lotfi Zadeh in 1997 as fuzzy information granulation and developed into a broad framework, it provides a unifying umbrella over fuzzy sets, rough sets, and interval methods, letting analysis move to whichever level of detail a problem actually requires.
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ScholarGate方法对比: Possibility Theory · Dempster-Shafer Theory · Granular Computing. 于 2026-06-19 检索自 https://scholargate.app/zh/compare