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On the k-additive Core of Capacities

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Grabisch, Michel y Miranda Menéndez, Pedro (2007) On the k-additive Core of Capacities. In New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, September 11-14, 2007. University of Ostrava, Ostrava, pp. 257-263. ISBN 978-80-7368-386-3

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URL Oficial: http://www.eusflat.org/proceedings/EUSFLAT_2007/papers/Michel_Grabisch_(138).pdf


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Resumen

We investigate in this paper the set of k-
additive 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.


Tipo de documento:Sección de libro
Palabras clave:k-additive capacity, core, belief function
Materias:Ciencias > Matemáticas > Topología
Código ID:17056
Depositado:13 Nov 2012 10:25
Última Modificación:07 Feb 2014 09:41

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