A Novel Distance-based Metric to Evaluate the Solution for Group Decision Making Problems under Consensus

Consensus reaching processes play a key role in the resolution of many group decision making problems, in which it is desirable to obtain a highly acceptable solution to all individuals involved in the problem. However, not much interest has been put on defining appropriate metrics to evaluate in further detail the consensus solution, regarding experts’ preferred ordering or ranking of alternatives. This contribution presents a metric based on Kemeny distance, that evaluates the consensus solution in terms of degree of satisfaction. Furthermore, based on this metric we aim at determining the extent to which applying a consensus reaching process improves the satisfaction with the solution.