The interaction between fuzzy variables and random variables

There are two important sources of uncertainty: randomness and fuzziness. Randomness models the stochastic variability of all possible outcomes of a situation, and fuzziness relates to the unsharp boundaries of the parameters of the model. Clearly, randomness and fuzziness are complementary and so a natural question is how fuzzy variables could interact with type of random variables. This article focuses on one important dimension of this issue: fuzzy random variables (FRVs).

Keywords:

Probability Theory , Possibility Theory , Fuzzy Random Variables (FRVs)