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A few aggregation operators

Aggregation Operators:

Aggregation operators are mathematical functions that are used to combine information. That is, they are used to combine N data (for example, N numerical values) in a single datum.
The arithmetic mean and the weighted mean are the most well-known aggregation operators. The median and the mode can also been as aggregation operators.
The main difference between the arithmetic mean and the weighted mean is that the latter permits us to weight the different data according to their relevance.
There exist a large number of different aggregation operators that differ on the assumptions on the data (data types) and about the type of information that we can incorporate in the model. For example, fuzzy integrals permits us to assign relevance to sets of information sources and not only to individual sources as for the weighted mean.

Definition of a few aggregation operators:

(Direct links to the operators: AM, WM, OWA, WOWA)