EXTENDING CHOQUET INTEGRALS FOR AGGREGATION OF ORDINAL VALUES

Extending Choquet Integrals for Aggregation of Ordinal Values

In this paper we study the extension of Choquet integrals to ordinal scales. We show that two different integrals can be defined on the basis of two different but equivalent expressions in the numerical case. We prove some properties of the Choquet integrals and show their application to aggregation.

Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function

Non-additive Robust Ordinal Regression with Choquet integral, Bipolar and Level Dependent Choquet integrals

Choquet integral has proved to be an effective aggregation model in multiple criteria decision analysis when interactions between criteria have to be taken into consideration. Recently, some generalizations of Choquet integral have been proposed to take into account more complex forms of interaction. This is the case of the bipolar Choquet integral and of the level dependent Choquet integral. T...

On Non-monotonic Choquet integrals as Aggregation Functions

This paper deals with non-monotonic Choquet integral, a generalization of the regular Choquet integral. The discrete non-monotonic Choquet integral is considered under the viewpoint of aggregation. In particular we give an axiomatic characterization of the class of non-monotonic Choquet integrals.We show how the Shapley index, in contrast with the monotonic case, can assume positive values if t...

On Choquet and Sugeno Integrals as Aggregation Functions

This paper presents a synthesis on the essential mathematical properties of Choquet and Sugeno integrals viewed as aggregation functions. Some axiomatic characterizations are presented. Subfamilies of the class of those integrals are also investigated.