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New fuzzy indices of poverty by distinguishing three levels of poverty

  • Belhadj, Besma
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    In order to avoid a rigid poor/non-poor dichotomy (see e.g. Hagenaars, 1986), the fuzzy sets approach to poverty measurement has been used. The aim of this paper is to propose fuzzy measures of unidimensional and multidimensional poverty by distinguishing three levels of poverty. A methodological research is proposed as follows: first, the poor are analyzed by partitioning the total population in three mutually exclusive groups around the poverty line, and three levels of poverty are distinguished. Second, a general rule for the construction of different fuzzy measure unions (Zadeh, 1975) is proposed, that is, rules for the construction of overall poverty starting from different levels of poverty. Finally, classes of fuzzy measures of poverty referring to the overall population are suggested. An application using individual well-being data from Tunisian households in 1990 is presented to illustrate use of one of the proposed concepts.

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    File URL: http://www.sciencedirect.com/science/article/pii/S1090944310000645
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    Article provided by Elsevier in its journal Research in Economics.

    Volume (Year): 65 (2011)
    Issue (Month): 3 (September)
    Pages: 221-231

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    Handle: RePEc:eee:reecon:v:65:y:2011:i:3:p:221-231
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622941

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    1. François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," Journal of Economic Inequality, Springer, vol. 1(1), pages 25-49, April.
    2. Maria Ana Lugo & Esfandiar Maasoumi, 2008. "Multidimensional Poverty Measures from an Information Theory Perspective," Working Papers 85, ECINEQ, Society for the Study of Economic Inequality.
    3. Gianni Betti & Bruno Cheli & Riccardo Cambini, 2004. "A statistical model for the dynamics between two fuzzy states: theory and an application to poverty analysis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 391-411.
    4. A. E. Fernández Jilberto, 1991. "Introduction," International Journal of Political Economy, M.E. Sharpe, Inc., vol. 21(1), pages 3-9, April.
    5. Zheng, Buhong, 1997. " Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-62, June.
    6. Ragin, Charles C., 2000. "Fuzzy-Set Social Science," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226702766.
    7. Ravallion, Martin & Bidani, Benu, 1993. "How robust is a poverty profile?," Policy Research Working Paper Series 1223, The World Bank.
    8. Joseph Deutsch & Jacques Silber, 2005. "Measuring Multidimensional Poverty: An Empirical Comparison Of Various Approaches," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(1), pages 145-174, 03.
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