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The theory of belief functions is based on two ideas: the idea of obtaining degrees of belief for one question from subjective probabilities for a related question, and Dempster's rule for combining such degrees of belief when they are based on independent items of evidence.
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quantity X, we should assign equal probability to any possible value of X The wine/water paradox There is a certain quantity of liquids. All that we know about the liquid is that it is composed entirely of wine and water, and the ratio of wine to water is between 1/3 and 3. What is the probability that the ratio of wine to water is less than or ...
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Dempster–Shafer theory is a generalization of the Bayesian theory of subjective probability. Belief functions base degrees of belief (or confidence, or trust) for one question on the subjective probabilities for a related question.
We show how to use them for several problems related to belief functions and the transferable belief model. Keywords: belief functions, transferable belief model, matrix. The mathematics of belief functions is often cumbersome because of the many summations symbols and all its subscripts.
5 cze 2024 · What is a belief function? In this vignette, an example is given to show the difference between belief functions and probability functions. Specifically, I will show: how to use function bca to assign a mass function m to some subsets of the set of possible values of a variable A; the result is called a basic chance assignment or bca;
