Lp consonant approximations of belief functions

Fabio Cuzzolin,
Submitted to ECSQARU 2011

In this paper we pose the problem of approximating an arbitrary belief function with a consonant one in a geometric framework. Given a belief function b, the consonant b.f. which minimizes an appropriate distance function from b can be sought. We consider here the classical L1, L2 and Lp norms. As consonant belief functions live in a collection of simplices in the belief space, partial approximations on each individual simplex have to be computed in order to find the overall approximation. Interpretations of the obtained approximations in terms of degrees of belief are proposed.

BibTeX entry

  AUTHOR = "Fabio Cuzzolin", 
  TITLE = "Lp consonant approximations of belief functions",
  JOURNAL = "ECSQARU'11 (under review)", 
  YEAR = "2011"