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Fuzzy Version of Gini’s Index

Author

Listed:
  • Besma Belhadj

    (University of ElManar
    LIRS, IHE Tunis)

  • Firas Kaabi

    (University of Bordeaux)

  • Mejda Bouanani

    (Taif University)

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.

Suggested Citation

  • Besma Belhadj & Firas Kaabi & Mejda Bouanani, 2021. "Fuzzy Version of Gini’s Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(3), pages 1079-1087, October.
    • Handle: RePEc:spr:soinre:v:157:y:2021:i:3:d:10.1007_s11205-021-02681-z
    DOI: 10.1007/s11205-021-02681-z
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    References listed on IDEAS

    as
    1. Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January.
    2. Deininger, Klaus & Squire, Lyn, 1996. "A New Data Set Measuring Income Inequality," The World Bank Economic Review, World Bank, vol. 10(3), pages 565-591, September.
    3. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
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    More about this item

    Keywords

    Gini’s index; Membership function of absolute equality; Membership function of inequality; Fuzzy Gini index; Fuzzy inequaly index;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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