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Título:
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On the structure of the k-additive fuzzy measures
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Autores:
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Miranda Menéndez, Pedro ;
Combarro, Elías F.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science BV, 2010
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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 = Artículo
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Resumen:
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In this paper we present some results concerning the vertices of the set of fuzzy measures being at most k-additive. We provide an algorithm to compute them. We give some examples of the results obtained with this algorithm and give lower bounds on the number of vertices for the (n - 1)-additive case, proving that it grows much faster than the number of vertices of the general fuzzy measures. The results in the paper suggest that the structure of k-additive measures might be more complex than expected from their definition and, in particular, that they are more complex than general fuzzy measures.
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En línea:
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https://eprints.ucm.es/id/eprint/16907/1/Miranda03.pdf
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