The Converse of a Probabilistic Relation
Ernst–Erich Doberkat · Technische Universität Dortmund Eldorado (Technische Universität Dortmund) · 2001
Transition probabilities are proposed as the stochastic counterparts to set-based relations. We propose the construction of the converse of a probabilistic relation. It is shown that two of the most useful properties carry over: the converse is idempotent, and anticommutative. The last property is shown to hold relative to some initial probability measure. This paper investigates the relation between stochastic and set-based relations through the support function of probabilities.