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 k-additive 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 k-additive dominating belief functions, and we study the location of the pignistic k-additive belief functions with respect to this polytope and its barycenter. sp  Download PDF  Zipped Postscript BibTeX entry @article{cuzzolin11fss,    AUTHOR = "Thomas Burger and Fabio Cuzzolin",    TITLE = "The polytope of k-additive dominating belief functions",   JOURNAL = "to submit to Fuzzy Sets and Systems",    YEAR = "2011"  }