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Título:
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Exact bounds of the Mobius inverse of monotone set functions
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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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Elsevier, 2015-05-11
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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
info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Estadística matemática
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Tipo = Artículo
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Resumen:
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We give the exact upper and lower bounds of the Mobius inverse of monotone and normalized set functions (a.k.a. normalized capacities) on a finite set of n elements. We find that the absolute value of the bounds tend to 4(n/2)/root pi n/2 when n is large. We establish also the exact bounds of the interaction transform and Banzhaf interaction transform, as well as the exact bounds of the Mobius inverse for the subfamilies of k-additive normalized capacities and p-symmetric normalized capacities.
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En línea:
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https://eprints.ucm.es/id/eprint/31327/1/Miranda201oficial.pdf
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