RANDOM VARIABLE WITH FUZZY PROBABILITY

Mathematic description about the second kind fuzzy random variable namely the random variable with crisp event-fuzzy probability was studied.Based on the interval probability and using the fuzzy resolution theorem,the feasible condition about a probability fuzzy number set was given,go a step further the definition arid characters of random variable with fuzzy probability(RVFP) and the fuzy distribution function and fuzzy probability distribution sequence of the RVFP were put forward:The fuzzy probability resolution theorem with the closing operation of fuzzy probabilitywas given and proved.The definintion and characters of mathematical expectation and variance of the RVFR were studied also.All mathematic descritpiton about the RVFP has the closing operation for fuzzy probabillty,as a result,the foundation of perfecting fuzzy probability,operation method is laid.