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Generalizations of weighted means and OWA operators : an analysis and new proposals

Weighted means and ordered weighted averaging (OWA) operators are well-known functions widely used in aggregation processes. Although both are defined through weighting vectors, their behavior is quite different: The weighted means allow to weight each information source in relation to their reliability while OWA operators allow to weight the values according to their ordering. Nevertheless, there are situations where it is necessary to combine both functions. For this reason, several classes of functions have appeared in the literature with the intent of simultaneously generalizing weighted means and OWA operators: the weighted OWA (WOWA) operators and the hybrid weighted averaging (HWA) operators.