Magnitude and (co)weightings are quite general constructions in enriched categories, yet they have been developed almost exclusively the context of Lawvere metric spaces. We construct a meaningful notion magnitude for flow graphs based on observation that topological entropy provides suitable map into max-plus semiring, we outline its utility. Subsequently, identify separate point contact betwe...

We propose a novel approach in the assessment of random risk variable X by introducing magnitude-propensity measures (mX, pX). This bivariate measure intends to account for dual aspect risk, where magnitudes x tell how high are losses incurred, whereas probabilities P(X = x) reveal often one has expect suffer such losses. The basic idea is simultaneously quantify both severity mX and propensity...