Accéder directement au contenu Accéder directement à la navigation
Nouvelle interface
Communication dans un congrès

Practical extension of MACBETH methodology to deal with sophisticated preferences’ models

Abstract : When solving complex and critical decision prob- lems involving several aspects, collecting decision-maker (DM) preferences remains a delicate issue. Indirect parameter iden- tification procedures are more adequate in such situations than procedures consisting to ask directly the DM to provide preferences. In the case of methods based on additive models such as MACBETH, disaggregation procedures are implemented to handle this problem. In case of sophisticated non-additive model, e.g. Choquet integral based fuzzy measure, most of the existing indirect procedures assume a 2-additive fuzzy measure and the DM is asked to change her/his preferences if they do not match this model. This paper proposes an approach to determine preferences model that achieves a trade-off between model sophistication and the fastidious MACBETH questioning procedure when considering interactions between more than two attributes. First, it proposes a practical approach to solve a real case of multiple criteria decision problem while considering sophistical model of preferences. On one hand, particular binary alternatives are selected for a first questioning procedure to de- termine the fuzzy measure parameters. In order to make the later procedure as simple as possible to handle, some simplifications are introduced to reduce both the amount of information and the cognitive effort requested from the DM. Our proposition consists in fixing several non-linear optimization problems until reaching the first k for which the k-additive fuzzy measure match the DM preferences. On the other hand, starting from a decision matrix and the answers to a second questioning procedure, value functions are determined. The second contribution is a theoretical one and consists in proving the existence of a k-additive fuzzy measure matching the DM preferences. Finally, the approach is applied to a real world case that concerns the comparison of some electrical and thermal vehicles regarding their environmental impacts.
Type de document :
Communication dans un congrès
Liste complète des métadonnées

https://hal.mines-ales.fr/hal-03714498
Contributeur : Administrateur IMT - Mines Alès Connectez-vous pour contacter le contributeur
Soumis le : mardi 5 juillet 2022 - 16:30:30
Dernière modification le : mardi 25 octobre 2022 - 10:21:25
Archivage à long terme le : : jeudi 6 octobre 2022 - 18:52:11

Fichier

 Accès restreint
Fichier visible le : 2023-01-23

Connectez-vous pour demander l'accès au fichier

Identifiants

  • HAL Id : hal-03714498, version 1

Citation

Abdelhak Imoussaten. Practical extension of MACBETH methodology to deal with sophisticated preferences’ models. FUZZ-IEEE 2022 - 2022 IEEE International Conference on Fuzzy Systems, Jul 2022, Padova, Italy. ⟨hal-03714498⟩

Partager

Métriques

Consultations de la notice

55