Administration of engineering systems and technological processes

Selection of an effective technological mode in the conditions of fuzzy-regression mathematical model

Yu. A. Zak

Aachen, Germany

Abstract: The problem is considered of selecting the technological mode control parameters under conditions in which the dependences of output quality parameters and economic production parameters in a static mode under constraints are presented in the form of fuzzy-regression mathematical models. The coefficients of input variables and of control actions and the free terms of these equations are fuzzy sets with a membership function of a rectangular, triangular or trapezoidal shape while the values of all variables are real numbers. The deterministic equivalents of the formulated problems are obtained in the form of several problems of linear programming and methods for their solution, which are illustrated by a numerical example, are considered.

Keywords: production management, fuzzy-regression model, membership function of a rectangular, triangular or trapezoidal shape, linear programming.

UDC: 519.87