The Choquet integral for 2-additive bi-capacities

Michel Grabisch 1 Christophe Labreuche
1 SYSDEF - Systèmes d'aide à la décision et à la formation
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : Bi-capacities have been presented recently by the authors as a natural generalization of capacities (fuzzy measures). Usual con cepts as M öbius transform, Shapley value and interaction index, Choquet integral, k-additivity can be generalized. We present formulas of the Choquet integral w.r.t. the Möbius transform, and w.r.t. the interaction index for 2-additive bi-capacities.
Type de document :
Communication dans un congrès
EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology, Sep 2003, Zittau, Germany. EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology
Liste complète des métadonnées
https://hal.archives-ouvertes.fr/hal-01533655
Contributeur : Lip6 Publications <>
Soumis le : mardi 6 juin 2017 - 16:36:14
Dernière modification le : jeudi 22 novembre 2018 - 14:28:59

Identifiants

  • HAL Id : hal-01533655, version 1

Collections

UPMC | LIP6 | SORBONNE-UNIVERSITE

Citation

Michel Grabisch, Christophe Labreuche. The Choquet integral for 2-additive bi-capacities. EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology, Sep 2003, Zittau, Germany. EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology. 〈hal-01533655〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

49

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD