Fuzzy lower partial moment and Mean-risk Dominance: An application for poverty Measurement

Abstract : A more general concept of risk in economics consists on the chance of getting an income or a return less than a threshold one. Risk has been studied and generalized more earlier by Fishburn [8] through Mean Partial Lower Moment specially when income can be described by a random variable. In this paper, we present a new concept of partial moment, namely Fuzzy Lower Partial Moment (FLPM) based on credibility measure, to quantify risk of getting a return described by a fuzzy variable and we study its properties. Based on FLPM, we introduce mean risk dominance for fuzzy variables, we characterize the dominance for some specific cases and we determine some of its properties. Furthermore, we study the consistency of mean-risk models with respect to first and second order dominances. We display one application of FLPM by introducing a new poverty index for poverty measurement in the context of fuzzy environment and we examine some of its properties.
Liste complète des métadonnées

Littérature citée [29 références]  Voir  Masquer  Télécharger

https://hal.umontpellier.fr/hal-02433422
Contributeur : Anthony Herrada <>
Soumis le : jeudi 9 janvier 2020 - 10:01:45
Dernière modification le : jeudi 20 février 2020 - 19:21:14

Fichier

Sadefo_05.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-02433422, version 1

Citation

Christian Deffo Tassak, Louis Aimé Fono, Jules Sadefo Kamdem. Fuzzy lower partial moment and Mean-risk Dominance: An application for poverty Measurement. [Research Report] WP MRE 2019.6, MRE - Montpellier Recherche en Economie. 2019. ⟨hal-02433422⟩

Partager

Métriques

Consultations de la notice

18

Téléchargements de fichiers

11