Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

The Gini index and the consistent measurement of inequality among the poor

Authors
Oihana Aristondo, José Luis García-Lapresta, Casilda Lasso De La Vega, Ricardo Alberto Marques Pereira
Corresponding Author
Oihana Aristondo
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.60How to use a DOI?
Keywords
Aggregation functions, OWA operators, Gini index, achievement and shortfall inequality, dual decomposition.
Abstract
In several economic fields, such as those related to health, education or poverty, the individuals' characteristics are measured by bounded variables. Accordingly, these characteristics may be indistinctly represented by achievements or shortfalls. A difficulty arises when inequality needs to be assessed. One may focus either on achievements or on shortfalls but the respective inequality rankings may lead to contradictory results. Specifically, this paper concentrates on the poverty measure proposed by Sen. According to this measure the inequality among the poor is captured by the Gini index. However, the rankings obtained by the Gini index applied to either the achievements or the shortfalls do not coincide in general. To overcome this drawback, we show that an OWA operator is underlying in the definition of the Sen measure. The dual decomposition of the OWA operators into a self-dual core and anti-self-dual remainder allows us to propose an inequality component which measures consistently the achievement and shortfall inequality among the poor.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.60How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Oihana Aristondo
AU  - José Luis García-Lapresta
AU  - Casilda Lasso De La Vega
AU  - Ricardo Alberto Marques Pereira
PY  - 2011/08
DA  - 2011/08
TI  - The Gini index and the consistent measurement of inequality among the poor
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 33
EP  - 40
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.60
DO  - https://doi.org/10.2991/eusflat.2011.60
ID  - Aristondo2011/08
ER  -