Three-dimensional model of a decision-making problem under multicriterial conditions

Abstract

The article proposed and reviewed a 3D model of the utility matrix, showing its analysis and proposing a generalized algorithm for solving a multi-critical decision-making problem under conditions of uncertainty based on this model. The essence of the technique is that the matrix-cube is divided into sections parallel to any axis (the axis of alternative solutions, the axis of undefined external situations, or the axis of criteria) and as a result we get several two-dimensional utility matrices to which we can apply any of the standard methods for solving decision-making’ problems. The application of the described method to finding the optimal solution in the conditions of uncertainty is shown by example.