- We have the ability to assign
*M*to a set of hypotheses. - To combine multiple sources of evidence to a single (or multiple)
hypothesis do the following:
- Suppose and are two belief functions.
- Let
*X*be the set set of subsets of to which assigns a nonzero value and let*Y*be a similar set for - Then to get a new belief function from the combination of beliefs
in and we do:

whenever .

NOTE: We define to be 0 so that the orthogonal sum remains a basic probability assignment.

dave@cs.cf.ac.uk