**1. Introduction**

Criteria weighting is an integral part of the multicriteria decision making (MCDM) models, that are widely applied in economics [1], service quality [2], talent identification process [3], robotics [4], healthcare [5], social studies [6], and other areas. Differences in the preference elicitations methodologies, transparency of the evaluation process, diversity of the opinions, and the competence of the decision-makers (DM) are the important factors affecting the final values of the criteria weights [7]. People participating in the decision-making processes tend to have not only a different understanding of the problem addressed but also to the factors associated with it. Moreover, the increasing interest in public participation activities enlightened differences between expert evaluations and public opinion [8]. Community involvement in the decision-making processes is particularly important when social, educational, environmental, and economic issues are addressed [9]. Non-symmetry in the reflection of the public opinion might cause not only inaccuracies in the preference elicitation results but also the

repulsive reactions to the decisions based on them. In these circumstances, the increased interest in the criteria weighting approaches that respect opinions of the wider audience was recently observed.
