Fuzzy Version of Gini’s Index

Besma Belhadj (), Firas Kaabi () and Mejda Bouanani ()
Additional contact information
Besma Belhadj: University of ElManar
Firas Kaabi: University of Bordeaux
Mejda Bouanani: Taif University

Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, 2021, vol. 157, issue 3, No 11, 1079-1087

Abstract: Abstract The Gini index (Gini in Variabilità e mutabilità: contributo allo studio delle distribuzioni e delle relazioni statistiche, Studi Economico-Giuridici, Facoltà di Giurisprudenza della Regia Università di Cagliari, anno III, parte II, Cuppini, Bologna, 1912) is the oldest and famous inequality measure. A Lorenz curve plots the cumulative percentages of total income received against the cumulative number of recipients, starting with the poorest individual or household. The Gini index measures the area between the Lorenz curve and a hypothetical line of absolute equality, expressed as a percentage of the maximum area under the line. In this paper, a fuzzy version of Gini’s index is proposed and used it to propose an axiomatic measure of inequality.

Keywords: Gini’s index; Membership function of absolute equality; Membership function of inequality; Fuzzy Gini index; Fuzzy inequaly index (search for similar items in EconPapers)
JEL-codes: C02 C43 D63 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11205-021-02681-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:soinre:v:157:y:2021:i:3:d:10.1007_s11205-021-02681-z

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11135

DOI: 10.1007/s11205-021-02681-z

Access Statistics for this article

Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement is currently edited by Filomena Maggino

More articles in Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().