In this work, we presented the problems that arise when automating the creation and design of engineering systems. These problems include: first, mathematical problems that are associated with a variety of functional characteristics of engineering systems, secondly, technological issues, which include the development of technical specifications, the construction of a mathematical and numerical model of an engineering system, taking into account the set of functional characteristics and

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... ts of the system, and, thirdly, information problems associated with solving problems in conditions of uncertainty (regression analysis) , creation of adequate software. To solve the presented problems, we presented a presentation of two works. In the field of mathematics, the monograph "Theory and methods of vector optimization" is presented, which is a development of the work https://rdcu.be/bhZ8i. In the field of technological and information problems, the article "Mathematical apparatus for selection of optimal parameters of Technical, Technological Systems and Materials based on Vector Optimization ".