Indistinct structure of targets to formalize the tasks of dynamic objects management

Abstract

To solve the problems of managing dynamic objects, the generalized structure of target installations has found wide application, which is a kind of heterogeneous functional network. At the same time, the formalization apparatus allows to describe the structure of the target model itself, to establish the truth of the relationship between the goals for each aspect of knowledge, to control the process of achieving the targets and the replenishment of knowledge. However, the existing means of formalizing logical-analytical activities of decision-makers are based on classical logic, which dramatically reduces the quality of decisions taken in conditions of uncertainty. The existing contradiction between the complexity of decision-making processes for managing dynamic objects and the imperfection of the formalization apparatus for solving these problems under uncertainty conditions necessitates the refinement of the means of formalization and forms the purpose of the article. The authors consider an approach to supplement the target structure with elements of fuzzy sets. The proposed formalization apparatus, called the fuzzy structure of target settings, significantly expands the descriptive capabilities, allows for initial conditions and manipulating knowledge in a wide range to obtain a solution for controlling a dynamic object, characterized by sharing the generalized structure of targets and the apparatus of fuzzy sets. The combination of these two approaches allowed, within the framework of a single formalism, to carry out the designation of the initial conditions not by rigid boundary values 0 and 1, but by any number from the range [0, 1], thus achieving a more accurate description of the properties of the modeled domain. At the same time, the rejection of the vertices of the search, algorithmic, and comparison makes it possible to significantly simplify the structure of the targets and the computational procedure on it. The description of the subject area obtained in the article due to the proposed formalization apparatus will allow, as a result of logical inference, to calculate the value of the membership function at any level of the target structure hierarchy, which will make it possible to more accurately relate the achieved and planned situations and, accordingly, make more informed decisions on managing dynamic objects.