Uncertain Variables in the Computer Aided Analysis of Uncertain Systems

Abstract

AbstractThe paper is concerned with static uncertain systems described by a function or by a relation. Unknown parameters in the mathematical models are considered as so called uncertain variables described by certainty distributions given by an expert. Two versions of the uncertain variables based on two versions of uncertain logics are defined. In the second part of the paper the formulations of the analysis and decision making problems adequate to the description of uncertainty are presented and the general procedures of the problem solving are described. Simple examples and an algorithm of the decision problem solving for a discrete case illustrate the computational aspects of the approach based on the uncertain variables and the possibility of the application to computer-aided analysis and decision making.