Dear Lotfi:
I appreciate your idea about second-order multiplicity as a fruitful approach
to random sets. But there is an additional application, once you introduce the
proof of contradiction between a set in two different
appearances. You mention the idea that " the elements are sets of elemen
Theory of random sets is a branch of probability theory. Basically,
a random set is a set-valued random variable. In recent years, theory of
random sets has become a subject of growing interest within the UAI
community, reflecting the close connection between random sets and
Dempster-Shafer