Fabio Cuzzolin 
To submit to Fuzzy Sets and Systems, 2011 

Abstract 
In this paper, we consider the dominance properties of the set of the pignistic k
additive belief functions. Then, given k, we conjecture the shape of the polytope of all the kadditive belief functions dominating a given belief function, starting from an analogy with the case of dominating probability measures. Under such conjecture, we compute the analytical form of the barycenter of the polytope of kadditive dominating belief functions, and we study the location of the pignistic kadditive belief functions with respect to this polytope and its barycenter. 
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BibTeX entry 
@article{cuzzolin11fss,
AUTHOR = "Thomas Burger and Fabio Cuzzolin",
TITLE = "The polytope of kadditive dominating belief functions",
JOURNAL = "to submit to Fuzzy Sets and Systems",
YEAR = "2011"
} 
