Weighted sums of aggregation operators.
Tomasa Calvo, Bernard De Baets, Radko Mesiar (1999)
Mathware and Soft Computing
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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...