A unified approach to decision making and control in knowledge-based uncertain systems

The paper presents a unified approach to the decision problem formulations and solution in a class of open-loop decision making or control systems containing a static plant. Two cases of knowledge representations given by an expert are considered: the knowledge of the plant and the knowledge of the decision making (of the controller). Consequently, two concepts of the decision making (the decisions based on the knowledge of the plant and the decisions based on the knowledge of the controller) are described and compared for the different forms of the uncertain knowledge representations: the relational and logical knowledge representation, the description with random and uncertain variables, the fuzzy description. The conditions of equivalency are formulated in the considered cases.