Foundations of aggregation functions theory

In the first part of my contribution, we will make a careful and, at the same time, critical analysis of the basic axioms of aggregation functions, starting from the way they are usually introduced, up to their own terminology. In this context, we will propose two types of classification of all the properties which may characterize an aggregation operator into some main groups, possibly overlapping. In the second one, we will introduce a theoretical framework able to include various techniques of aggregation (for instance, weighted means) which make use of collateral parameters, called in the sequel attributes