Using Uncertainty Theory in Optimal Robust Design with Uncertain Parameters

The problem of optimal robust design with epistemic uncertain parameters is solved using Liu's uncertainty theory. For the certain class of functions, Liu's uncertainty theory provides a convenient tool for reducing optimization models with the uncertain variables to the analytical models of mathematical programming. Computational efficiency on the class of monotonic functions is shown. As an example, the task of optimal robust design of a symmetrical two-element support structure is solved.