Relevance of the application of the theory of fuzzy sets in the calculation of the strategic security of a complex technical system

The relevance of the topic is related to the problem of protection and security of technical systems in the era of globalization and information warfare, as well as determining the strategic reserve of stability for production cycles. The study object was mathematical methods of modelling production processes and determining the point of the production system stability. The study purpose was to use the fuzzy set device to determine the point of stability of the production system. To implement this study, methods of statistical analysis, data grouping, sample ranking, and methods for studying time series components were used. During the study, the scientific materials of leading researchers in the field of fuzzy sets and mathematical methods to calculate various components were used. The study results are intended for specialists and researchers in the field of development and application of mathematical methods in the modelling of economic indicators of technological processes at enterprises.