A Family of Divergences between Phi-Probabilistic Sets with Application to Handshape Recognition

We introduce a family of divergences between Φ-probabilistic sets, with real supports. The supports are never unbounded to opposite sides. We start from weighted and percentiled dissimilarities between arbitrary unions of compact intervals of real numbers. As an application we model the problem of the recognition of a handshape as a metric problem between Φ-probabilistic sets. The proposed family of divergences is a suitable solution to this problem of comparing one handshape prototype, a Φ-probabilistic set, with one input handshape, a Φ-fuzzy set.