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An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets

In: Poverty, Social Exclusion and Stochastic Dominance

Author

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  • Satya R. Chakravarty

    (Indian Statistical Institute)

Abstract
Often it may be difficult to judge the poverty/deprivation status of a person in a dimension of human wellbeing. An appropriate technique to evaluate poverty in such a situation is fuzzy set theory. This paper develops an axiomatic approach to the measurement of multidimensional poverty in a fuzzy set up. Rigorous discussion on a fuzzy membership function that determines the poverty position of a person in a dimension is presented. Fuzzy translations of multidimensional poverty axioms are formulated and analyzed with perfections. Fuzzy counterparts of several multidimensional poverty indices are suggested.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:thechp:978-981-13-3432-0_9
    DOI: 10.1007/978-981-13-3432-0_9
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    Cited by:

    1. Burhan Can Karahasan & Fırat Bilgel, 2021. "The Topography and Sources of Multidimensional Poverty in Turkey," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 154(2), pages 413-445, April.
    2. Espinoza-Delgado, José & Silber, Jacques, 2018. "Multi-dimensional poverty among adults in Central America and gender differences in the three I’s of poverty: Applying inequality sensitive poverty measures with ordinal variables," MPRA Paper 88750, University Library of Munich, Germany.
    3. Adepoju, A., 2018. "determinants of multidimensional poverty transitions among rural households in Nigeria," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 276027, International Association of Agricultural Economists.
    4. Sandip Sarkar & Manoranjan Pal, 2018. "On the Estimation of Lower and Upper Bounds of Poverty Line: An Illustration with Indian Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 138(3), pages 901-924, August.
    5. Anh Thu Quang Pham & Pundarik Mukhopadhaya & Ha Vu, 2021. "Estimating poverty and vulnerability to monetary and non-monetary poverty: the case of Vietnam," Empirical Economics, Springer, vol. 61(6), pages 3125-3177, December.
    6. Wang, Qiong & Mukhopadhaya, Pundarik & Ye, Jingyi, 2020. "An evaluation of the changes in wellbeing in China – 2005 to 2015: An exploratory study," China Economic Review, Elsevier, vol. 61(C).
    7. Valérie Berenger & Cuauhtémoc Calderón Villarreal & Franck Celestini, 2009. "Modelling the Distribution of Multidimensional Poverty Scores: Evidence from Mexico," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 24(1), pages 3-34.
    8. García-Vélez, Diego F. & Núñez Velázquez, José Javier, 2022. "Un enfoque alternativo para medir la pobreza multidimensional utilizando conjuntos difusos: análisis espacial para Ecuador," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 52, pages 37-58.
    9. Dalila De Rosa, 2018. "Capability Approach and Multidimensional Well-Being: The Italian Case of BES," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(1), pages 125-155, November.
    10. Diallo, Fatoumata Lamarana, 2010. "Analysing multidimensional poverty in Guinea: A fuzzy set approach," MERIT Working Papers 2010-041, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    11. 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.
    12. Jacques SILBER & Jose Espinoza-Delgado, 2023. "A rank-dependent multidimensional deprivation index (MDI) for binary data," Working Papers 641, ECINEQ, Society for the Study of Economic Inequality.
    13. Zheng, Buhong & Zheng, Charles, 2015. "Fuzzy ranking of human development: A proposal," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 39-47.
    14. Christian Deffo Tassak & Louis Aimé Fono & Jules Sadefo-Kamdem, 2019. "Fuzzy lower partial moment and Mean-risk Dominance: An application for poverty Measurement," Working Papers hal-02433422, HAL.
    15. Buhong Zheng, 2015. "Poverty: fuzzy measurement and crisp ordering," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 203-229, June.
    16. 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.
    17. María Noel Pi Alperin, 2016. "A multidimensional approach to measure health," Economics Bulletin, AccessEcon, vol. 36(3), pages 1553-1568.
    18. Geranda Notten & Keetie Roelen, 2010. "Cross-national comparison of monetary and multidimensional child poverty in the European Union: puzzling with the few pieces that the EUSILC provides," Global Development Institute Working Paper Series 13510, GDI, The University of Manchester.
    19. Besma Belhadj, 2011. "A new fuzzy unidimensional poverty index from an information theory perspective," Empirical Economics, Springer, vol. 40(3), pages 687-704, May.
    20. Sen, Sugata, 2019. "Decomposition of intra-household disparity sensitive fuzzy multi-dimensional poverty index: A study of vulnerability through Machine Learning," MPRA Paper 93550, University Library of Munich, Germany.
    21. Dipesh Gangopadhyay & Robert B. Nielsen & Velma Zahirovic-Herbert, 2021. "Methodology and Axiomatic Characterization of a Multidimensional and Fuzzy Measure of Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(1), pages 1-37, January.

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