МАТЕМАТИЧНА МОДЕЛЬ ВИРІШЕННЯ БАГАТОКРИТЕРІАЛЬНОЇ ЗАДАЧІ ВИБОРУ РАЦІОНАЛЬНИХ ФОРМ ТА СПОСОБІВ ЗАСТОСУВАННЯ ВІЙСЬК (СИЛ) В УМОВАХ ВЕДЕННЯ РОСІЙСЬКО-УКРАЇНСЬКОЇ ВІЙНИ

The analysis of the armed aggression of the Russian Federation against Ukraine since the beginning of 2014 reveals new approaches to the development of armed struggle, which affect the construction and development of the armed forces. The factors listed in the article and the available results of the Russian-Ukrainian war affect the effectiveness of this struggle and require further improvement of the forms and methods of using troops (forces). This, in turn, affects the effectiveness of the performance of defensive and offensive tasks of troops (forces), which directly depends on the quality of decision-making during operational planning in the management system of the defense forces of Ukraine. The need to improve the quality of decision-making makes it necessary to study the mathematical apparatus in the direction of choosing a rational variant of the combination of forms and methods of application of the defense forces of Ukraine. Today, there are many models for choosing rational forms and ways of using troops (forces) in various situations of a military nature to solve the tasks of a certain scenario within the framework of conducting operations of troops (forces). However, most of these models are not adapted to decision-making regarding the choice of rational forms and methods of conducting hostilities under the influence of external and internal factors, as well as under the presence of several indicators. The result of the article is a proposed approach to the formation of a mathematical model for solving the multi-criteria problem of choosing rational forms and methods of using troops (forces) in the conditions of the Russian-Ukrainian war. Such calculations should be carried out with a set of possible scenarios for the use of defense forces in order to choose the optimal course of action. Keywords: multi-criteria task, forms and methods of using troops (forces), armament and military equipment, efficiency of tasks, quality of decision-making.