SUMMARY
The paper considers on the search optimal variants problem of transformer aviation systems construction. At the same time massively-trajectory parameters of the system are determined, which characterize the transformer with sufficient completeness and reliability and simultaneously reduce the dimensionality of the problem. Inconsistency characteristic and connectivity optimization criteria determined by transformism, problem of determining the coordinates of a criterion space solves separatly by the way of extremization criteria. The idea of solving the problem of Pareto-optimal region of mass trajectory parameters of transformer aviation system is to determine the equation of the Pareto curve in the multidimensional space of the investigated mass trajectory parameters. Using the methods of matrix analysis and linear algebra, Pare to-optimal region variants of construction for transformers aviation system was generated. This methodology allows to obtain the Pareto-optimal region for the value of any single specified coordinate the entire set mass-trajectory system parameters coordinates and the value of the objective functions in multi-dimensional criterion space.