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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.

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  • 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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    Cited by:

    1. Nasri, Khaled & Weslati, Adnen, 2022. "Targeting Household Deprivations for Multidimensional Poverty Alleviation: An Application to Tunisian Data," GLO Discussion Paper Series 1019, Global Labor Organization (GLO).
    2. Lucio Esposito & Enrica Chiappero‐Martinetti, 2019. "Eliciting, Applying And Exploring Multidimensional Welfare Weights: Evidence From The Field," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(S1), pages 204-227, November.
    3. Gallardo, Mauricio, 2022. "Measuring vulnerability to multidimensional poverty with Bayesian network classifiers," Economic Analysis and Policy, Elsevier, vol. 73(C), pages 492-512.
    4. 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.
    5. Mejda Bouanani & Besma Belhadj, 2019. "Zakat and Poverty Alleviation in Tunisia Using the Fuzzy Approach," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(2), pages 421-432, June.
    6. Khaled Nasri & Besma Belhadj, 2018. "Measuring Vulnerability to Multidimensional Poverty in Tunisia: Dual cut-off method and Fuzzy Sets approach," Working Papers 1262, Economic Research Forum, revised 03 Dec 2018.
    7. Noor Hidayah Zakaria & Rohayanti Hassan & Muhamad Razib Othman & Zalmiyah Zakaria & Shahreen Kasim, 2017. "A Review on Classification of the Urban Poverty Using the Artificial Intelligence Method," Journal of Asian Scientific Research, Asian Economic and Social Society, vol. 7(11), pages 450-458, November.
    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.
    10. Mauricio Gallardo, 2020. "Measuring Vulnerability to Multidimensional Poverty," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(1), pages 67-103, February.
    11. Li, Jiaxin & Wang, Zihan & Cheng, Xin & Shuai, Jing & Shuai, Chuanmin & Liu, Jing, 2020. "Has solar PV achieved the national poverty alleviation goals? Empirical evidence from the performances of 52 villages in rural China," Energy, Elsevier, vol. 201(C).
    12. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    13. Nasri, Khaled & Belhadj, Besma, 2017. "Multidimensional Poverty Measurement in Tunisia: Distribution of Deprivations across Regions," MPRA Paper 83318, University Library of Munich, Germany.
    14. Aysenur Acar, 2014. "The Dynamics of Multidimensional Poverty in Turkey," Working Papers 014, Bahcesehir University, Betam.
    15. 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.
    16. 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.
    17. Besma Belhadj & Firas Kaabi, 2020. "New membership function for poverty measure," Metroeconomica, Wiley Blackwell, vol. 71(4), pages 676-688, November.
    18. Nita Handastya & Gianni Betti, 2023. "The ‘Double Fuzzy Set’ Approach to Multidimensional Poverty Measurement: With a Focus on the Health Dimension," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 166(1), pages 201-217, February.
    19. Mejda Bouanani & Besma Belhadj, 2020. "Does Zakat reduce poverty? Evidence from Tunisia using the Fuzzy Approach," Metroeconomica, Wiley Blackwell, vol. 71(4), pages 835-850, November.
    20. 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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    More about this item

    Keywords

    Unidimensional poverty; Multidimensional poverty; Poverty line; Membership function of poor; Membership function of non-poor; Fuzzy set operators;
    All these keywords.

    JEL classification:

    • P46 - Political Economy and Comparative 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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