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 |
Acceso al artículo completo |