Shylo N. Mathematical models and tools of comparator-oriented identification of decision maker's preferences.

This work is dealing with the topical problem of construction of efficient mathematical instrument for human's behavior formalization. The comparator-oriented identification models based upon the formal analysis of real decisions that had already been made by a decision maker, is formed. Possible variants of decision maker's choice when decision maker has different level of confidence in own preferences were considered. New alternative criterions of pointwise identification were synthesized - the midpoint criterion and the maximization criterion for the function of the correct selection of preferences, which is based on analysis of input data. The mathematical model for estimating the adequacy of pointwise identification criteria of the decision maker's preferences was proposed for the first time. Tools of identification of decision maker's group preferences have received further development with taking into account the specificity of identification of individual preferences. The new method for classification of decision maker's individul preferences under conditions of non-homogeneous choice.