Abstract
As we have seen in Chapter 7, belief functions can be seen as points of a simplex B called the ‘belief space’. It is therefore natural to wonder whether the orthogonal sum operator (2.6), a mapping from a pair of prior belief functions to a posterior belief function on the same frame, can also be interpreted as a geometric operator in B. The answer is positive, and in this chapter we will indeed understand this property of Dempster’s rule in this geometric setting.
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