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INICIO | 28 de mayo de 2024
  

Weighted sums of aggregation operators.

Título inglés Weighted sums of aggregation operators.
Título español Sumas ponderadas de operadores de agregación.
Autor/es Calvo, Tomasa ; De Baets, Bernard ; Mesiar, Radko
Organización Dep. Mat. Cienc. Comput. Univ. Illes Balears, Palma de Mallorca, España;Dep. Appl. Math. Comput. Sci. Univ. Gent, Gante, Bélgica;Dep. Math. Slovak Tech. Univ., Bratislava, Eslovaquia;Inst. Inf. Theor. Aut. Acad. Sci. Czech Rep., Praga, Repúb. Checa
Revista 1134-5632
Publicación 1999, 6 (1): 33-47, 10 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The aim of this work is to investigate when a weighted sum, or in other words, a linear combination, of two or more aggregation operators leads to a new aggregation operator. For weights belonging to the real unit interval, we obtain a convex combination and the answer is known to be always positive. However, we will show that also other weights can be used, depending upon the aggregation operators involved. A first set of suitable weights is obtained by a general method based on the variation of the partial derivatives of the aggregation operators. When considering the combination of OWA operators only, all suitable weights can be determined. These results are described explicitly for the case of two aggregation operators, and also for the case of two and three OWA operators.
Clasificación UNESCO 120201 ; 120909
Palabras clave español Análisis funcional ; Norma triangular ; Conjuntos difusos ; Lógica difusa ; Operadores lógicos ; Programación orientada a objetos
Código MathReviews MR1724322
Código Z-Math Zbl 0955.03058
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Equipo DML-E
Instituto de Ciencias Matemáticas (ICMAT - CSIC)
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