Open AccessThree-dimensional model of a decision-making problem under multicriterial conditions
Author(s) -
E. O. Savkova,
O. V. Chengar,
O. A. Shumaieva,
В. І. Шевченко
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1582/1/012020
Subject(s) - matrix (chemical analysis) , mathematical optimization , cube (algebra) , computer science , mathematics , combinatorics , composite material , materials science
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.