Uncertain variables in decision problems for hybrid uncertain systems

The paper is concerned with the application of uncertain variables to complex uncertain systems containing elements with random parameters described by probability distributions and uncertain parameters described by certainty distributions given by an expert. The first part of the paper presents a general approach to decision making in the complex system under consideration. The second part is devoted to a special case: the hybrid system with a cascade structure containing random and uncertain parts. A simple example illustrates the presented approach.