The article discusses the use of a vaguely defined knowledge base and neural networks for risk assessment when using complex poorly formalized systems. An example of the risk assessment task is the operation of a storage facility for the transport or storage of industrial products. Consideration of a fire with different parameters is required as an anomalous external influence. The storage response, measured by the assessment of the safety of the content and its non-penetration into the external environment, can vary depending on the current state of the system, for example, the degree of possible damage in emergency conditions.