The induced generalized OWA operator

We study different types of aggregation operators. We focus on the generalized OWA (GOWA) operator developed by Yager which represents a generalization to a wide range of aggregation operators. We distinguish between aggregations with a descending or with an ascending order. We introduce the induced generalized OWA (IGOWA) operator which represents an extension to the GOWA operator. It generalizes a wider range of aggregation operators as the GOWA operator is a particular case of this type of generalization. We study its main properties and some particular cases obtained with it. Finally, we develop a further generalization to the IGOWA operator by using quasi-arithmetic means.