This paper deal with a multicriterion compromise problem of production of a multifunctional material on the basis of a stochastic composite with several mutually distributed phases. A formal technique for solving this problem is proposed based on the methods of topological feedback, mathematical morphology, percolation theory, and the theory of discrete phase mappings. By way of illustration, this formal technique is applied to mathematics simulation and optimization of production of an autoclave-building material and construction materials with certain desired properties.