Reasoning about uncertainty is one of the main cornerstones Knowledge Representation. Formal representations are numerous and highly varied due to different types intended be modeled such as vagueness, imprecision incompleteness. There a rich body theoretical results that has been generated for many these approaches. It often case though, pragmatic tools reasoning with lag behind this results. ...

We introduce a new class of distributionally robust optimization problems under decision-dependent ambiguity sets. In particular, as our sets, we consider balls centered on probability distribution. The are based earth mover’s distances that includes both the total variation distance and Wasserstein metrics. discuss main computational challenges in solving interest provide an overview various s...