Using the expectation theory of fuzzy random variable,fuzzy expectation model was presented and adopting the signed distance defuzzification of a fuzzy number,the estimated of fuzzy random shortages was deduced and then the signed distance function of fuzzy expected cost can be obtained.

Solving the Linear Programming of Fuzzy Random Variables;

Based on the supposition that the profit rate of the security is fuzzy random variable,a fuzzy optimization model to portfolio is given in the case that the risky security doesn t exist and short sales are allowed.

Considering two uncertainties, randomness and fuzziness, in slope stability assessment, and taking fuzzy random variables as basic variables, a slope fuzzy random failure function taking and a slope fuzzy random limit state equation is established.

The basic theory of fuzzy numbers is applied to give the definition of mathematical expectation of fuzzy random variables and variance of fuzzy random variables,and to discuss properties of mathematical expectation of fuzzy random variables and variance of fuzzy random variables.

In this paper, first, a phenomenon of fuzzy random of cavitation inception and a possiblity for prediction cavitation state using fuzzy random variables are analysted.

By using fuzzy random variables as the basic variables, this paper discusses the relationship between the fuzzy random variables and the fuzzy random events.

In this paper, we consider Bi-level LA Problem in uncertain environment(BLCLAU), thatis, the parameters of demands are all random fuzzy variables.

The Structure and Properties of Convex Set of Fuzzy Random Vectors;