The objectification method of the weight coefficients for decision-making in multicriteria problems

The contradiction in the concept of “solution uniqueness” arises when determining weight coefficients in multicriteria problems for the same initial data in order to assess the criteria importance based on existing qualitative and quantitative approaches. This leads to a decrease in the degree of confidence in the decisions made. Thus, it is required to determine the objectivity degree of the weighting coefficients used. The objectification of the weight coefficients for decisionmaking problems is the purpose of the study. The article proposes a combination of qualitative and quantitative approaches to determine weight coefficients with a given consistency. The weight coefficients matrix is formed (quantitative approach). This matrix is correlated with the rank matrix (qualitative approach). The optimization problem is solved to obtain a given consistency coefficient using the rank matrix. The proposed method application is demonstrated by the example of solving the problem of choosing the best alternative in multicriteria problem. The calculation of the weight coefficients is carried out using the developed software in the Python. The solution is reduced to a single-objective problem based on the maximin approach using the found weight coefficients. Thus, solving the problem with a given consistency ensures the result objectivity and increases the decision confidence. The proposed method can be used in assessing the criteria importance without the need for the participation of the decision maker.