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Unidimensional and multidimensional fuzzy poverty measures: New approach

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  • Belhadj, Besma
  • Limam, Mohamed

Abstract

the analysis of deprivation is usually seen as a unidimensional condition. However, recently it is considered to be a multidimensional one. A useful tool for such analysis is to view deprivation as a degree providing a quantitative expression to its intensity for individuals. Such fuzzy conceptualisation has been widely adopted in poverty and deprivation research. This paper aims to further develop and refine this strand of research. First, we re-examine two aspects introduced by the use of fuzzy measures, as opposed to conventional poor/non-poor dichotomous measures, namely the choice of membership functions and the rules to manipulate, resulting fuzzy sets. Secondly, we propose fuzzy monetary and non-monetary measures with the membership functions of poor and non-poor. An application based on individual well-being data from Tunisian households in 1990 is presented to illustrate use of one of the proposed concept.

Suggested Citation

  • Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
  • Handle: RePEc:eee:ecmode:v:29:y:2012:i:4:p:995-1002
    DOI: 10.1016/j.econmod.2012.03.009
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    References listed on IDEAS

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    1. J. R. Rodgers & J. L. Rodgers, 2000. "Poverty Intensity in Australia," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 33(3), pages 235-244.
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    8. Zheng, Buhong, 1997. " Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    9. Filippone, Andrea & Cheli, Bruno & D'Agostino, Antonella, 2001. "Addressing the interpretation and the aggregation problems in totally fuzzy and relative poverty measures," ISER Working Paper Series 2001-22, Institute for Social and Economic Research.
    10. Mills, Jeffrey A & Zandvakili, Sourushe, 1997. "Statistical Inference via Bootstrapping for Measures of Inequality," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 133-150, March-Apr.
    11. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
    12. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
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    Citations

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    Cited by:

    1. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    2. Nasri, Khaled & Belhadj, Besma, 2017. "Multidimensional Poverty Measurement in Tunisia: Distribution of Deprivations across Regions," MPRA Paper 83318, University Library of Munich, Germany.
    3. Aysenur Acar, 2014. "The Dynamics of Multidimensional Poverty in Turkey," Working Papers 014, Bahcesehir University, Betam.
    4. Asma Zedini & Besma Belhadj, 2015. "A New Approach to Unidimensional Poverty Analysis: Application to the Tunisian Case," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 465-476, September.
    5. Gianni Betti & Francesca Gagliardi & Achille Lemmi & Vijay Verma, 2015. "Comparative measures of multidimensional deprivation in the European Union," Empirical Economics, Springer, vol. 49(3), pages 1071-1100, November.
    6. Vijay Verma & Gianni Betti & Francesca Gagliardi, 2017. "Fuzzy Measures of Longitudinal Poverty in a Comparative Perspective," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(2), pages 435-454, January.
    7. repec:asi:joasrj:2017:p:450-458 is not listed on IDEAS
    8. Belhadj Besma, 2016. "Inequality among the poor in poverty measure case of Tunisia (2005–2010)," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 409-425, June.

    More about this item

    Keywords

    Unidimensional poverty; Multidimensional poverty; Poverty line; Membership function of poor; Membership function of non-poor; Fuzzy set operators;

    JEL classification:

    • P46 - Economic Systems - - Other Economic Systems - - - Consumer Economics; Health; Education and Training; Welfare, Income, Wealth, and Poverty
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C00 - Mathematical and Quantitative Methods - - General - - - General

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