Boolean and matroidal independence in uncertainty theory
Fabio Cuzzolin · 2008
In this paper we discuss the nature of independence of sources in the theory of evidence from an algebraic point of view. Independence in Dempster’s rule is equivalent to independence of frames IF as Boolean sub-algebras. IF , however, cannot be explained neither in terms of classical matroidal independence, nor (even if finite families of frames form geometric lattices) as a cryptomorphic form of independence of flats on geometric lattices. Independence of frames is actually opposed to matroidal independence, giving a collection of frame the structure of “anti-matroid”.