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Lý thuyết Khả thể×Lý thuyết bằng chứng Dempster-Shafer×Tính toán hạt (Tổ chức thông tin)×Xác suất không chính xác×
Lĩnh vựcTính toán mềmTính toán mềmTính toán mềmTính toán mềm
HọMachine learningMachine learningMachine learningBayesian methods
Năm ra đời1988197619971991
Người khởi xướngLotfi Zadeh; Didier Dubois & Henri PradeArthur P. Dempster & Glenn ShaferLotfi A. Zadeh (information granulation); developed by Pedrycz, Skowron, YaoPeter Walley
LoạiUncertainty quantification frameworkUncertainty calculus for combining evidenceFramework for multi-granularity information processingSet-valued probability model
Công trình gốcDubois, 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 ↗Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5
Tên gọi khácFuzzy 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 hesaplamaLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık
Liên quan3433
Tóm tắtPossibility 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.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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ScholarGateSo sánh phương pháp: Possibility Theory · Dempster-Shafer Theory · Granular Computing · Imprecise Probability. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare