Retrieving the most probable solution in a temporal interval algebra network
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A Probabilistic Temporal Interval Network is a constraint satisfaction problem where the nodes are temporal intervals and the edges are uncertain interval relations. We attach a probability to each of Allenýs basic interval relations. An uncertain relation between two temporal intervals is represented as a disjunction of Allenýs probabilistic basic relations. Using the operations of inversion, composition, and addition, defined for this probabilistic representation, we present a path consistency algorithm.