Aggregation Functionals on Complete Lattices

Abstract

The aim of this paper is to introduce some classes of aggregation functionals when the evaluation scale is a complete lattice. Two different types of aggregation functionals are introduced and investigated. We consider a target-based approach that has been studied in Decision Theory and we focus on the equivalence between a utility-based approach and target-based approach. Moreover we study a class of aggregation functionals that generalizes Sugeno integrals to the setting of complete lattices.