Qualitative conditioning in an interval-based possibilistic setting

Qualitative capacities: Basic notions and potential applications

“…This function takes values in [0, 1] only when masses are positive (i.e., for masses of belief functions). It is then decreasing in the wide sense with respect to set inclusion, and dual to a belief function in the following sense: if m g is the complement of m g defined by m g (A) = m g (A c ), 5 and g is the belief function induced by m g as g(A) = B⊆A m g (B), we have that if g = Bel, then Q(A) = g(A c ) [33]. Moreover all the information contained in g can be recovered from Q.…”

“…Here, γ(A) = 0 only means that A is potentially impossible. Imprecise possibility measures have been used in possibilistic belief networks [5].…”

“…Suppose W = [1,6] is the set of integers between 1 and 6. There are 4 weighted sources and 5,6], with respective weights 0.8, 0.5, 0.4, 0.2. Using the non-destructive approach results in a capacity that has these 4 focal sets plus [1,6].…”