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The article proposes a method of using the mathematical apparatus of the theory of fuzzy sets in automation of the locomotives reliability management, because when writing algorithms there is a problem of transition from not fully formalized concepts of human communication to formalizing software. Examples of the fuzzy sets use in calculating the locomotives reliability are described. When calculating the reliability parameters manually, the volume of calculations does not allow you to move to more complex algorithms. When there are automated systems, it is necessary for each indicator of the transportation process, which affects its reliability, to set the function of belonging to a dangerous and normal value using the mathematical apparatus of the theory of fuzzy sets. Then the risk of a dangerous event will be assessed in probability, taking into account the logical claim to the risk.

The article proposes the use of Fuzzy Sets theory in decision-making support system of locomotive complex IT-control systems. For this purpose the method of translation linguistic assertions into the language of mathematical logic proposed, which will be introduced on a built-in quality in the IT-control system of monitoring of technical condition and modes of operation of locomotives service company «TMH-Service» and management company «Locomotive technologies».