This article conducts a study and generalization of theoretical and practical foundations in the field of choosing a strategy for managing the financial security of an enterprise. In modern conditions of enterprise management, it is relevant to develop a scientific and methodological approach to choosing a strategy for managing the financial security of an enterprise, based on the theory of fuzzy logic and capable of adapting to changes in the external environment. The result of the study is the modeling of the representation of fuzzy sets using the example of constructing a model for choosing a strategy for managing the financial security of an enterprise. The main stages of the scientific and methodological approach based on the use of the theory of fuzzy sets are determined. The developed model will make it possible to adequately approach the assessment of alternative solutions while simultaneously increasing the degree of validity of the decisions made. The proposed model of fuzzy sets for choosing a financial security management strategy can be implemented in the work of enterprises. The scientific novelty of the results obtained lies in the ability to identify and timely neutralize financial risks on a unified methodological basis, pose and solve problems of predictive assessment of the level of financial security of an enterprise.