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2019
- handle: 10670/1.g2yczo
- Report N°: WP MRE 2019.6
- hal: hal-02433422
info:eu-repo/semantics/OpenAccess
Mots-clés
Credibility measure Fuzzy variable Fuzzy lower partial mo-ment Mean-Risk dominance Poverty indexSujets proches
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Christian Deffo Tassak et al., « Fuzzy lower partial moment and Mean-risk Dominance: An application for poverty Measurement », HAL-SHS : économie et finance, ID : 10670/1.g2yczo
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Résumé
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.