Logic-Based Fusion of Complex Epistemic States

摘要

In this work we extend the framework of logic-based fusion by Konieczny and Pino Perez [8,9,10,11] to complex epistemic states. We present some postulates given in terms of the finite propositional logic which define merging operators of complex epistemic states. We state some representation theorems for these operators. When we consider concrete spaces, namely those where the epistemic states are total pre-orders over valuations, we obtain strong representation theorems. This new framework allows us to generalize, in a natural way, the revision operators presented by Benferhat et al. [2]. As an application of our representation theorems, we define some merging operators over complex epistemic states and show some examples of these operators at work.