Risk analysis via Łukasiewicz logic

In this paper, we apply logical methods to risk analysis. We study generalized events, i.e. not yes-no events but continuous ones. We define on this class of events a risk function and a measure over it to analyse risk in this context. We use Riesz MV-algebras as algebraic structures and their associated logic in support of our research, thanks to their relations with other applications. Moreover, we investigate on decidability of consequence problem for our class of risk.