The polytope of k-additive dominating belief functions






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.
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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" 
}