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13.363 Articles in journals published by the UPC
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  • 1999, Vol. VI, Núm. 1
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Weighted sums of aggregation operators

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Calvo Sánchez, Tomasa
Baets, Bernard de
Mesiar, Radko
Document typeArticle
Defense date1999
PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
he 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.
URIhttp://hdl.handle.net/2099/3542
ISSN1134-5632
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  • Mathware & soft computing - 1999, Vol. VI, Núm. 1 [9]
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