On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria

The paper presents an analysis on the use of integrals defined for non-additive measures (or capacities) as the Choquet and the Šipoš integral, and the multilinear model, all seen as extensions of pseudoBoolean functions, and used as a means to model interaction between criteria in a multicriteria decision making problem. The emphasis is put on the use, besides classical comparative information, of information about difference of attractiveness between acts, and on the existence, for each point of view, of a “neutral level”, allowing to introduce the absolute notion of attractive or repulsive act. It is shown ∗Corresponding author. On leave from Thomson-CSF, Corporate Research Lab, 91404 Orsay Cedex, France