2014 , Volume 19, № 5, p.12-14

Purpose is to check the hypothesis: "The interval analysis is equivalent to some special brunch of probability theory". In particular, we associate with an interval variable the random value uniformly distributed on the appropriately defined interval. Methodology. Addition and multiplication of interval variables are the standard operations in interval analysis. Natural sequence of our hypothesis is the same interpretation of the sum and product of interval variables. We consider the two-dimensional random value defined on the square [0,1]² such that sum and product of martingale variables are uniformly distributed on intervals [0,1] and [0,2] respectively. Findings. We have shown that the distribution with prescribed properties doesn't exist. Originality/value. It means that our hypothesis isn't true, and interval analysis is in some sense independent of the probability theory.