The management of an industrial enterprise is complicated by the high degree of instability in the world economic system at present. Therefore, it is necessary to develop new methods and approaches to making strategic decisions that allow for effective management in industry. In this article, we propose two mathematical models of decision-making for the strategic management of an industrial enterprise, which take into account the conditions of instability. The first model is based on the ranking of decision criteria, taking into account resource constraints. The second model is a mathematical model of an integrated assessment of the activity of an industrial enterprise, which is considered as a procedure for conducting expert modelling of hard-toformalize fragments of a description of a problem. The procedure is based on standard reporting and the use of formal methods to streamline expert assessments for constructing a mathematical model of multi-criteria choice by computerizing a well-known convolution principle, adapted to the number and qualifications of experts, the degree of homogeneity and non-statistical uncertainty of expert estimates.