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The article will discuss the issues of fuzzy modeling and it will provide the analysis of technology-related situations for ensuring the safety of complex industrial facilities in line with the decision-making process of their management. On the basis of theory of fuzzy sets and fuzzy logic, the process of making decisions under the conditions of uncertainty and uncertainty of the initial information will be studied.In addition, the study will look at the problems in diagnostics and control of technical safety at chemical plants and chemical industry, in general. It has been proven that the diagnostic system of chemical processes lies at the core of the modern safety process and control system of chemical production. A great deal of research has been done on a number of general features within the creation and use of aforementioned diagnostic systems in chemical processes.The research has employed the formal method in which the functioning dynamics of petrochemical facilities is analyzed based on the theory of fuzzy sets and fuzzy logic. This method allows to develop a set of measures aimed at managing the technical safety of petrochemical facilities and, consequently, the reduction of loss and the increase of efficiency among the personnel. This the efficiency of service personnel can be achieved by improving the state of performance and predicting technology-related failures within equipment and control systems.