Some convergence results in Dempster–Shafer theory

Abstract

 Belief functions and basic probability assignments defined on a finite frame of discernment are given an intuitive extension in this paper. Some convergence results are then given on sets converging from above and below; also, a weakened form of one of the Borel–Cantelli lemmas is given. The paper concludes with a theorem on the Dempster–Shafer random variable.