On the issue of consistency in dynamical consensual aggregation

In this paper we propose to use the consistency of preferences in order to endogenously assign different weights to decision makers in a consensual dynamics process. For this purpose, we first define a consistency index for preferences expressed by means of fuzzy preference relations. Then we introduce this index in an iterative law for updating the individual preferences. The updating law is formulated in the spirit of some previous papers on consensual dynamics (see for instance [5]) and, as a result, both the initially declared preferences and the present ones (in the ongoing process) act with a strength determined on the basis of their consistency.