Strong law of large numbers with respect to a fuzzy probability measure

In a nonstatistical setting, a strong law of large numbers with respect to a set-valued probability measure was proved by M. C. Puri and D. A. Ralescu (1983). The author considers an extension of the results to situations where the measures are fuzzy set-valued. Probability values such as small, large, approximately 0.6, very large, and so on are part of the framework of fuzzy set-valued measures. The author defines the concepts of fuzzy probability measure and the expected value (integral) of a random vector in this framework. The main result is a strong law of large numbers with respect to a fuzzy probability measure. This framework is useful in Bayesian inference with a prior containing a mixture of probabilistic-fuzzy information.<>