Bidirectional Comparison of Nominal Sets: Asymmetry of Proximity

The authors propose a novel measure of proximity between two sets of nominal elements. This measure describes the changes in the first set after adding the second set or changes in the second set after adding the first set.

It is crucial to note that this measure is not symmetric, it means that the perturbation of the first set on the second set can be different than the perturbation of the opposition direction.

The introduced set impact measure allows for the direct treatment of objects...