A mass assignment theory of the probability of fuzzy events

Abstract Mass assignment theory techniques for processing uncertainty in Fril are reviewed. The notion of the probability of a fuzzy event is introduced together with the t-norm definition of conditional probabilities. The latter is then shown to be probability/possibility inconsistent. An alternative theory of conditional probabilities based on mass assignments is presented together with a number of results illustrating some intuitive properties. In particular, the mass assignment theory of conditional probabilities is shown to be probability/possibility consistent.

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