Multi-attribute aggregation operators

This paper deals with the idea of aggregation. A new, enlarged notion of aggregation operator is given, along with a classification of classical properties into some main groups. The concept of multi-attribute aggregation operator, which incorporates many classical aggregation methods, is provided. An extension of different properties to multi-attribute aggregation operators is proposed.

► We propose a new, enlarged notion of aggregation with a deep discussion.
► We classify the properties which characterize any operator into some main groups.
► We define multi-attribute operators that incorporate different aggregation methods.
► We extend many typical properties of classical aggregators to multi-attribute ones.