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This paper is devoted to the construction of sets of joint probability measures for the case that the marginal sets of probability measures are generated by weighted focal sets. Different conditions on the choice of the weights of the joint focal sets and on the probability measures on these sets lead to different types of independence such as strong… (More)

The paper addresses the evaluation of upper and lower probabilities induced by functions of an imprecise random variable. Given a function g and a family X λ of random variables, where the parameter λ ranges in an index set Λ, one may ask for the upper/lower probability that g(X λ) belongs to some Borel set B. Two interpretations are investigated. In the… (More)

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