Some problems concerning the construction of algorithms of decision-making in fuzzy systems

The fuzzy set theory established by L. A. Zadeh has started anew period in formalizing a decision-making processes in ill-defined systems where a human being (operator) is an important element in the control loop. The control algorithm used here is based on a generalized fuzzy version of modus ponens (compositional rule of inference) where a set of decision-making rules forming a control algorithm is given. The aim of this paper is to present some problems which may appear in the initial stage off design of a decisionmaking algorithm and discuss a method of their formulation. We introduce notions like the completeness of algorithm, interactivity and the competitivity of control rules and consider indices illustrating the presented design aspects.