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EUSFLAT
2007

On the k-additive Core of Capacities

9 years 3 months ago
On the k-additive Core of Capacities
We investigate in this paper the set of kadditive capacities dominating a given capacity, which we call the k-additive core. We study its structure through achievable families, which play the role of maximal chains in the classical case (k = 1), and show that associated capacities are elements (possibly a vertex) of the k-additive core when the capacity is (k +1)-monotone. As a particular case, we study the set of k-additive belief functions dominating a belief function. The problem of finding all vertices of the k-additive core is still an open question.
Michel Grabisch, Pedro Miranda
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where EUSFLAT
Authors Michel Grabisch, Pedro Miranda
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