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A fuzzy logic approach to poverty analysis based on the Gini and Bonferroni inequality indices

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  • Paolo Giordani
  • Giovanni Giorgi

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  • Paolo Giordani & Giovanni Giorgi, 2010. "A fuzzy logic approach to poverty analysis based on the Gini and Bonferroni inequality indices," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 19(4), pages 587-607, November.
    • Handle: RePEc:spr:stmapp:v:19:y:2010:i:4:p:587-607
    DOI: 10.1007/s10260-010-0146-8
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    References listed on IDEAS

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    1. Atkinson, A B, 1992. "Measuring Poverty and Differences in Family Composition," Economica, London School of Economics and Political Science, vol. 59(233), pages 1-16, February.
    2. Achille Lemmi & Gianni Betti (ed.), 2006. "Fuzzy Set Approach to Multidimensional Poverty Measurement," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-34251-1, Fall.
    3. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    4. Satya R. Chakravarty, 2019. "An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 123-141, Springer.
    5. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    6. 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, March.
    7. Bourguignon, Francois & Fields, Gary, 1997. "Discontinuous losses from poverty, generalized P[alpha] measures, and optimal transfers to the poor," Journal of Public Economics, Elsevier, vol. 63(2), pages 155-175, January.
    8. Kuan Xu & Lars Osberg, 2002. "The social welfare implications, decomposability, and geometry of the Sen family of poverty indices," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 35(1), pages 138-152, February.
    9. Giovanni Maria Giorgi & Michele Crescenzi, 2001. "A proposal of poverty measures based on the Bonferroni inequality index," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 3-16.
    10. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    11. Mozaffar Qizilbash, 2006. "Philosophical Accounts of Vagueness, Fuzzy Poverty Measures and Multidimensionality," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Achille Lemmi & Gianni Betti (ed.), Fuzzy Set Approach to Multidimensional Poverty Measurement, chapter 1, pages 9-28, Springer.
    12. Foster, James E & Shorrocks, Anthony F, 1988. "Poverty Orderings," Econometrica, Econometric Society, vol. 56(1), pages 173-177, January.
    13. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    14. Satya R. Chakravarty & Pietro Muliere, 2004. "Welfare indicators: a review and new perspectives. 2. Measurement of poverty," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 247-281.
    15. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-327, July.
    16. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
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    Cited by:

    1. Patricia Romero-Lankao & Daniel M. Gnatz & Joshua B. Sperling, 2016. "Examining urban inequality and vulnerability to enhance resilience: insights from Mumbai, India," Climatic Change, Springer, vol. 139(3), pages 351-365, December.
    2. Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
    3. Leu, Chao-Hsien & Chen, Ke-Mei & Chen, Hsiu-Hui, 2016. "A multidimensional approach to child poverty in Taiwan," Children and Youth Services Review, Elsevier, vol. 66(C), pages 35-44.
    4. Giovanni M. Giorgi & Alessio Guandalini, 2018. "Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality," Econometrics, MDPI, vol. 6(2), pages 1-16, April.
    5. Patricia Romero-Lankao & Daniel M. Gnatz & Olga Wilhelmi & Mary Hayden, 2016. "Urban Sustainability and Resilience: From Theory to Practice," Sustainability, MDPI, vol. 8(12), pages 1-19, November.
    6. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    7. Basu, Tirthankar & Das, Arijit, 2020. "Identification of backward district in India by applying the principal component analysis and fuzzy approach: A census based study," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).
    8. Martina Ciani & Francesca Gagliardi & Samuele Riccarelli & Gianni Betti, 2018. "Fuzzy Measures of Multidimensional Poverty in the Mediterranean Area: A Focus on Financial Dimension," Sustainability, MDPI, vol. 11(1), pages 1-13, December.
    9. 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.

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