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Título:
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Migrativity of aggregation functions.
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Autores:
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Bustince, H. ;
Montero, Javier ;
Mesiar, R.
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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, 2009
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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: Informática: Inteligencia artificial
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Tipo = Artículo
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Resumen:
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We introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. Among other things, in this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity (with the product being the only migrative t-norm, as already shown by other authors) and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Similarly, it is the only associative migrative aggregation function possessing a neutral element. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed.
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En línea:
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https://eprints.ucm.es/id/eprint/16182/1/Montero18.pdf
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