Competence coefficients calculation method of participants in group decision-making for selecting the best alternative with the multivariate of the result

The problem of obtaining the best alternative using decision-making methods based on the experience of specialists and mathematical calculations is considered in the article. Group decision-making is appropriate for solving this problem. However, it can lead to the selection of several best alternatives (multivariate of the result). Accounting for competence will prioritize the decision of more competent participants and eliminate the emergence of several best alternatives in the process of group decision-making. The problem of determining the competence coefficients for participants in group decision-making has been formulated. The selection of the best alternative with the multivariate of the result is provided in the problem. A method for solving the problem has been developed. It involves discretizing the range of input variables and refining the competence coefficients values of group decision-making participants in it to select the best alternative, either by the majority principle or with the decision-maker’s involvement. Further calculation of the competence coefficients for participants in group decision-making is carried out using local linear interpolation of the refined competence coefficient at surrounding points from the discretized range. The use of the proposed method for solving the problem is considered using the example of group decision-making according to the main types of the majoritarian principle for selecting an electrodeposition variant. The results show that the proposed method for calculating the competence coefficients of participants in group decision-making through local linear interpolation is the most effective for selecting the best alternative with a multivariate result based on the relative majority.