Methodological principles for the development of composite materials with the desired structure and properties are proposed. It is used as a composite representation of complex systems of modular structure. Are defined the requirements for the formulation of particular quality criteria with the possibility of combining them into a generalized criterion, including vector criteria. The analysis of analytical methods for solving optimization problems is given. We present a modification of the PATTERN method for of multiple criteria synthesis of super-heavy concrete, as well as the construction of the Pareto set for the development of high density epoxy composites.

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