Research Theme: Probability Intervals and the
Probability intervals [Moral] are an attractive tool for reasoning under uncertainty. Unlike belief functions, though, they lack a natural probability transformation (such as the pignistic function for BFs) that could be used for decision making in a utility theory framework.
We propose the use of the intersection probability, a transformation derived originally for belief functions in our geometric framework, as the most natural such transformation. This outlines a novel decision making framework for probability intervals, analogous to the Transferable Belief Model for belief functions.
Fabio Cuzzolin and Sebastien Destercke
Betting with probability intervals: the intersection probability
submitted February 2007, revised June 2009; to revise by Fall 2013
The intersection probability and its properties
in "Symbolic and Quantitative Approaches to Reasoning with Uncertainty",
Lecture Notes in Computer Science, Volume 5590/2009, pages 287-298
Springer Berlin / Heidelberg, 2009
Lab Member(s): Fabio Cuzzolin