
In this project, we start to extend this geometric analysis to several other
major combination operators, including Yager's and Dubois' rules, but also
the disjunctive operator. The final objective of the research programme is
a comparative geometric analysis of combination rules, which would eventually
allow us to describe the `cone' of possible future belief states under stronger
or weaker assumptions on reliability and independence of sources, associated
with conjunctive and disjunctive combination. The bulk of the analysis focusses
on standard, normalised belief functions, but we will also
consider unnormalised belief functions to provide some preliminary results.


Relevant papers:

 
Fabio Cuzzolin The geometry of uncertainty  The geometry of imprecise probabilities Artificial Intelligence: Foundations, Theory, and Algorithms
(http://www.springer.com/series/13900), SpringerVerlag, 2018 (in press) 


Fabio Cuzzolin Geometry of General Combination Proceedings of the
Fifth International Conference on the Theory of Belief Functions (BELIEF 2018) Compiegne, France, September 2018 

