An IOWA Operator Based on Additive Consistency for Group Decision Making

In group decision-making, experts’ preferences are usually expressed by means of fuzzy preference relations. Because not all experts may be capable of maintaining consistency between all the possible pair of feasible options of the problem, it is worthwhile evaluating the degree of inconsistency of a fuzzy preference relation so that more importance can be given to the more consistent experts. To do this, a new consistency measure of a fuzzy preference relation, based on the additive consistency property, is proposed. This consistency measure is also used to propose an IOWA operator to aggregate experts’ fuzzy preference relations into a collective one in such a way that high weighting values are associated to those experts with high consistency degrees.