Título:
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On the k-additive Core of Capacities
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Autores:
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Grabisch, Michel ;
Miranda Menéndez, Pedro
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Tipo de documento:
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texto impreso
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Editorial:
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University of Ostrava, 2007
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Sección de libro
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/id/eprint/17056/1/Miranda13.pdf
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