Abstract
We treat B -fuzzy probabilities in nonstandard frameworks by the methods based on Boolean-valued models and especially Boolean powers. These formal methods, apart from the difficulties associated with the formal model itself, give a simple and powerful theory for fuzzy probability spaces and fuzzy random variables. Essentially everything is reduced to a transfer principle. However one can also work using classical methods of proofs. We first give the necessary background on nonstandard frameworks. Within these frameworks we develop Boolean fuzzy probabilities and fuzzy random variables.
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