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Título:
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A generalization of the migrativity property of aggregation functions
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Autores:
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Bustince, H. ;
De Baets, B. ;
Fernande, J. ;
Mesiar, R. ;
Montero, Javier
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science INC, 2012
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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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This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the a-migrativity property of Durante and Sarkoci for all values of a instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of a–B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel’s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms.
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En línea:
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https://eprints.ucm.es/id/eprint/30345/1/Montero149.pdf
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