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Теория на възможностите×Грануларните изчисления (гранулиране на информация)×Неточна вероятност×
ОбластМеки изчисленияМеки изчисленияМеки изчисления
СемействоMachine learningMachine learningBayesian methods
Година на възникване198819971991
СъздателLotfi Zadeh; Didier Dubois & Henri PradeLotfi A. Zadeh (information granulation); developed by Pedrycz, Skowron, YaoPeter Walley
ТипUncertainty quantification frameworkFramework for multi-granularity information processingSet-valued probability model
Основополагащ източникDubois, D., & Prade, H. (1988). Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press. ISBN: 978-0-306-42520-2Zadeh, 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
Други названияFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theoryinformation granulation, computing with granules, three-way granular computing, tanecikli hesaplamaLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık
Свързани333
РезюмеPossibility 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.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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ScholarGateСравнение на методи: Possibility Theory · Granular Computing · Imprecise Probability. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare