Incoherence correction strategies in statistical matching

We deal with the statistical matching problem and in particular we study the problem related to the managing of inconsistencies. In fact, when logical relations among the variables are present incoherence can arise in the probability evaluations. The aim of this paper is to remove such incoherences by using different methods. Specific precise distances minimization or least committal imprecise probability extensions are adopted. We compare these methods using a practical example that brings to light the peculiarities of the statistical matching problem.