Generalizations of Weighted Means and OWA Operators by Using Unimodal Weighting Vectors

Weighted means and ordered weighted averaging (OWA) operators are two families of functions well known in the literature. Given that both are specific cases of the Choquet integral, several procedures for constructing capacities that generalize simultaneously those of the weighted means and the OWA operators have been suggested in recent years. In this paper, we propose two methods that allow us to address the previous issue and that provide us with a wide variety of capacities when the weighting vector associated with the OWA operator is unimodal.