IDEAS home Printed from https://ideas.repec.org/a/spr/soinre/v157y2021i3d10.1007_s11205-021-02681-z.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11205-021-02681-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11205-021-02681-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sanjay Reddy & Rahul Lahoti & Arjun Jayadev, 2015. "The global consumption and income project: An introduction and preliminary findings," WIDER Working Paper Series 003, World Institute for Development Economic Research (UNU-WIDER).
    2. Francois, Joseph & Rojas-Romagosa, Hugo, 2005. "The Construction and Interpretation of Combined Cross-Section and Time-Series Inequality Datasets," CEPR Discussion Papers 5214, C.E.P.R. Discussion Papers.
    3. Miguel Niño‐Zarazúa & Laurence Roope & Finn Tarp, 2017. "Global Inequality: Relatively Lower, Absolutely Higher," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 661-684, December.
    4. repec:cuf:journl:y:2014:v:15:i:2:calderon:serven is not listed on IDEAS
    5. José Gabriel Palma, 2011. "Forum 2011," Development and Change, International Institute of Social Studies, vol. 42(1), pages 87-153, January.
    6. Daniele Checchi, 2001. "Education, Inequality and Income Inequality," STICERD - Distributional Analysis Research Programme Papers 52, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    7. Adriana Marina, 2000. "Economic convergence of the first and second moment in the provinces of Argentina," Estudios de Economia, University of Chile, Department of Economics, vol. 27(2 Year 20), pages 259-277, December.
    8. Almas Heshmati, 2006. "Continental And Sub-Continental Income Inequality," The IUP Journal of Applied Economics, IUP Publications, vol. 0(1), pages 7-52, January.
    9. Carola Grün & Stephan Klasen, 2003. "Growth, Income Distribution, and Well-Being: Comparisons across Space and Time," CESifo Working Paper Series 837, CESifo.
    10. Grabiella Berloffa & Maria Luigia Segnana, 2004. "Trade, inequality and pro-poor growth: Two perspectives, one message?," Department of Economics Working Papers 0408, Department of Economics, University of Trento, Italia.
    11. Niño-Zarazúa, Miguel & Roope, Laurence & Tarp, Finn, 2014. "Global interpersonal inequality Trends and measurement," MPRA Paper 52881, University Library of Munich, Germany.
    12. Lahoti Rahul & Jayadev Arjun & Reddy Sanjay, 2016. "The Global Consumption and Income Project (GCIP): An Overview," Journal of Globalization and Development, De Gruyter, vol. 7(1), pages 61-108, June.
    13. Facundo Alvaredo & Leonardo Gasparini, 2013. "Recent Trends in Inequality and Poverty in Developing Countries," CEDLAS, Working Papers 0151, CEDLAS, Universidad Nacional de La Plata.
    14. Arnaud Lefranc & Nicolas Pistolesi & Alain Trannoy, 2008. "Inequality Of Opportunities Vs. Inequality Of Outcomes: Are Western Societies All Alike?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(4), pages 513-546, December.
    15. David Warner & Prasada Rao & William E. Griffiths & Duangkamon Chotikapanich, 2011. "Global Inequality: Levels and Trends, 1993-2005," Discussion Papers Series 436, School of Economics, University of Queensland, Australia.
    16. Kevin H. O'Rourke, 2002. "Globalization and Inequality: Historical Trends," Aussenwirtschaft, University of St. Gallen, School of Economics and Political Science, Swiss Institute for International Economics and Applied Economics Research, vol. 57(01), pages 65-104, March.
    17. Chong, Alberto & Gradstein, Mark, 2007. "Inequality and informality," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 159-179, February.
    18. Bart Capéau & Andre Decoster, 2004. "The Rise or Fall of World Inequality: A Spurious Controversy?," WIDER Working Paper Series DP2004-02, World Institute for Development Economic Research (UNU-WIDER).
    19. Kopczuk, Wojciech & Slemrod, Joel & Yitzhaki, Shlomo, 2005. "The limitations of decentralized world redistribution: An optimal taxation approach," European Economic Review, Elsevier, vol. 49(4), pages 1051-1079, May.
    20. Pinkovskiy, Maxim L., 2013. "World welfare is rising: Estimation using nonparametric bounds on welfare measures," Journal of Public Economics, Elsevier, vol. 97(C), pages 176-195.
    21. Nissanke, Machiko & Thorbecke, Erik, 2006. "Channels and policy debate in the globalization-inequality-poverty nexus," World Development, Elsevier, vol. 34(8), pages 1338-1360, August.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:soinre:v:157:y:2021:i:3:d:10.1007_s11205-021-02681-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.