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Fuzzy Targeting Indices and Orderings

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  • Paul Makdissi
  • Quentin Wodon

Abstract

The targeting efficiency and the coverage of social programs for the poor are typically analyzed by partitioning the total population in four mutually exclusive groups: the poor who benefit from a program or policy, the poor who do not benefit, the non‐poor who benefit, and the non‐poor who do not benefit. While useful, this partition into crisp sets may not capture the difficulty of identifying the poor. This paper presents a method that consists of using a membership function to identify to what extent households can be considered as poor or non‐poor. The method builds on fuzzy sets theory whereby the definition of the boundaries of a set, say the poor or the non‐poor, is fuzzy. We characterize the properties that membership functions should have, and we test for the robustness of targeting performance comparisons to the choice of the membership function.

Suggested Citation

  • Paul Makdissi & Quentin Wodon, 2004. "Fuzzy Targeting Indices and Orderings," Bulletin of Economic Research, Wiley Blackwell, vol. 56(1), pages 41-51, January.
    • Handle: RePEc:bla:buecrs:v:56:y:2004:i:1:p:41-51
    DOI: 10.1111/j.1467-8586.2004.00187.x
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    References listed on IDEAS

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    1. Jean‐Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, February.
    2. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    3. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    4. Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
    5. Buhong Zheng, 1999. "On the power of poverty orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 349-371.
    6. Wodon, Quentin T., 1997. "Targeting the poor using ROC curves," World Development, Elsevier, vol. 25(12), pages 2083-2092, December.
    7. Estanislao Gacitua-Mario & Quentin Wodon, 2001. "Measurement and Meaning : Combining Quantitative and Qualitative Methods for the Analysis of Poverty and Social Exclusion in Latin America," World Bank Publications - Books, The World Bank Group, number 14035.
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    Cited by:

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    2. Pene Kalulumia, 2002. "Effects of government debt on interest rates: evidence from causality tests in johansen-type models," Cahiers de recherche 02-07, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    3. Anh Thu Quang Pham & Pundarik Mukhopadhaya & Ha Vu, 2020. "Targeting Administrative Regions for Multidimensional Poverty Alleviation: A Study on Vietnam," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(1), pages 143-189, July.
    4. Majda Fikri & Mohammed Elkhomssi & Sahar Saoud, 2011. "Proposal of a Semi Fuzzy Poverty Index," EuroEconomica, Danubius University of Galati, issue 28, pages 23-37, May.
    5. Anh Thu Quang Pham & Pundarik Mukhopadhaya, 2022. "Multidimensionl Poverty and The Role of Social Capital in Poverty Alleviation Among Ethnic Groups in Rural Vietnam: A Multilevel Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(1), pages 281-317, January.
    6. Kojo Appiah-Kubi & Edward Amanning-Ampomah & Christian Ahortor, 2007. "Multi-Dimensional Analysis of Poverty in Ghana Using Fuzzy Sets Theory," Working Papers PMMA 2007-21, PEP-PMMA.
    7. Petr Hanel, 2003. "Impact Of Government Support Programs On Innovation By Canadian Manufacturing Firms," Cahiers de recherche 04-02, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    8. BILOA ESSIMI Jean Aristide, BEJA & CHAMENI NEMBUA Célestin, CNC & MIAMO WENDJI Clovis, MWC, 2012. "A subgroup decomposition of inequality of poverty in Cameroon," MPRA Paper 38141, University Library of Munich, Germany.

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