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

1 SYSDEF - Systèmes d'aide à la décision et à la formation
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : The paper presents an analysis on the use of integrals defined for non-additive measures (or capacities) as the Choquet and the \Sipos{} integral, and the multilinear model, all seen as extensions of pseudo-Boolean 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 that in this case, the Sipos integral is a suitable solution, although not unique. Properties of the Sipos integral as a new way of aggregating criteria are shown, with emphasis on the interaction among criteria.
Mots-clés :
Type de document :
Article dans une revue
European Journal of Operational Research, Elsevier, 2003, 148, pp.28-47
Domaine :

https://hal.archives-ouvertes.fr/hal-00272780
Contributeur : Michel Grabisch <>
Soumis le : vendredi 11 avril 2008 - 17:42:14
Dernière modification le : jeudi 13 décembre 2018 - 01:27:53
Document(s) archivé(s) le : vendredi 21 mai 2010 - 01:40:52

### Fichiers

ejor01.pdf
Fichiers produits par l'(les) auteur(s)

### Identifiants

• HAL Id : hal-00272780, version 1
• ARXIV : 0804.1921

### Citation

Michel Grabisch, Christophe Labreuche, Jean-Claude Vansnick. On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria. European Journal of Operational Research, Elsevier, 2003, 148, pp.28-47. 〈hal-00272780〉

### Métriques

Consultations de la notice

## 323

Téléchargements de fichiers