The concept of optimal behavior of a cyber object as a measure of its generalized uncertainty

In this publication a concept of the generalized cyber object optimal behavior is considered. The situation with two alternatives is highlighted. The measure of the generalized uncertainty of a cyber object (subject of behavior) regarding the set of two alternatives achievable to this subject of behavior is the entropy of preferences with respect to achievable alternatives; that is the problem deals with the case when there are functions related to the alternatives with the properties of the controlled cyber object control and the reverse proportionality measure between the elementary effectiveness function parameter and its control. It is proposed to consider the cyber object effectiveness function of the integral dynamical form implanted into the objective functional analogical to such functional taken in the general view, which was developed in the theory of the entropy of subjective preferences; that theory is also known as Subjective Analysis. It is possible to make parallels with well-known theoretical statistical physics when using this approach. In particular, Jaynes' entropy maximum principle serves as a base. This subjective analysis principle allows one to establish the subjective maximum of entropy in the context of its conditional optimization. The Euler-Lagrange equation made it possible to obtain the best solution in the form of objective functional extrema for preferences as well as for the controlled parameter of the cyber object by identifying the requirements for the existence of the objective functional extremum of the subject of behavior. The maximum value of the functional, proven with variations, is illustrated.