OPTIMIZATION OF THE INGREDIENT CONCENTRATION OF A POLYMERIC COMPOSITION UNDER THE CONDITIONS OF FUZZY-SPECIFIED INTERACTION OF ACTIVE ADDITIVES

Abstract

It is proposed to use the solution of the fuzzy programming problem to calculate the optimal concentration of the ingredients of the polymer composition in order to best display the specified properties. The analysis of the latest achievements of the world science showed a rather high relevance of the problem under consideration. It is proposed to solve the task of fuzzy programming based on the decomposition of fuzzy numbers into alpha levels. As a result of such a decomposition, a complex of real quadratic programming problems is obtained, the solutions of which give the alpha levels of the original fuzzy programming problem. These alpha levels are approximated by a membership function, and the result is a vector of fuzzy numbers: a solution to a fuzzy programming problem. The proposed approach is illustrated by a computational experiment.