Probabilized logics related to DSmT and Bayes inference

This work proposes a logical interpretation of the non hybrid Dezert Smarandache Theory (DSmT). As probability is deeply related to a classical semantic, it appears that DSmT relies on an alternative semantic of decision. This semantic is characterized as a probabilized multi-modal logic. It is noteworthy that this interpretation justifies clearly some hypotheses usually made about the fusion rule ( ie. the independence between the sensors). At last, a conclusion arises: there could be many possible fusion rules, depending on the chosen semantic of decision; and the choice of a semantic depends on how the actual problem is managed. Illustrating this fact, a logical interpretation of the Bayesian inference is proposed as a conclusion to this chapter. 8.