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Título:
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Extreme points of some families of non-additive measures
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Autores:
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Miranda Menéndez, Pedro ;
Combarro, Elías F. ;
Gil, Pedro
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2006
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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: Investigación operativa
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Tipo = Artículo
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Resumen:
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Non-additive measures are a valuable tool to model many different problems arising in real situations. However, two important difficulties appear in their practical use: the complexity of the measures and their identification from sample data. For the first problem, additional conditions are imposed, leading to different subfamilies of non-additive measures. Related to the second point, in this paper we study the set of vertices of some families of non-additive measures, namely k-additive measures and p-symmetric measures. These extreme points are necessary in order to properly apply a new method of identification of non-additive measures based on genetic algorithms, whose cross-over operator is the convex combination. We solve the problem through techniques of Linear Programming.
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En línea:
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https://eprints.ucm.es/id/eprint/17069/1/Miranda15.pdf
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