Consistency and stability in aggregation operators with data structure

Abstract

In this work, we continue with a previous work in which we analyzed and defined notions of consistency, stability and continuity of a family of aggregation operators (FAO) when the data is unstructured. Here we use these concepts to tackle with aggregation problem for those situations in which the information or data that has to be aggregated has an inherent structure. In particular, we will focus on two structures that has received an important attention during last decades due to it application is different fields as Muticriteria Decision Analysis: The linear order structures and the hierarchical structures from a prioritized point of view.