IDEAS home Printed from https://ideas.repec.org/a/bla/metroe/v71y2020i4p676-688.html
   My bibliography  Save this article

New membership function for poverty measure

Author

Listed:
  • Besma Belhadj
  • Firas Kaabi

Abstract

Fuzziness in a fuzzy set is determined by its membership function (m.f) which translates the reality of a problem. Accordingly, the shapes of membership functions (m.fs) are important for a particular problem such as poverty since they effect on a fuzzy inference system. Some authors have used to visualize the behaviour of poverty, different shapes like triangular, trapezoidal. In this paper, a specific (m.f), named modified logistic membership function better illustrating the complicated reality, is proposed to measure poverty. The modified logistic membership function is first formulated for several states of poverty and its flexibility in taking up vagueness in poverty is established by an analytical approach using aggregate operators in order to infer a logical conclusion measuring poverty. An application based on individual well‐being data from Tunisian households in 2010 is presented to illustrate use of proposed concepts.

Suggested Citation

  • Besma Belhadj & Firas Kaabi, 2020. "New membership function for poverty measure," Metroeconomica, Wiley Blackwell, vol. 71(4), pages 676-688, November.
    • Handle: RePEc:bla:metroe:v:71:y:2020:i:4:p:676-688
    DOI: 10.1111/meca.12297
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/meca.12297
    Download Restriction: no
    File URL: https://libkey.io/10.1111/meca.12297?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Esfandiar Maasoumi & Maria Ana Lugo, 2008. "The Information Basis of Multivariate Poverty Assessments," Palgrave Macmillan Books, in: Nanak Kakwani & Jacques Silber (ed.), Quantitative Approaches to Multidimensional Poverty Measurement, chapter 1, pages 1-29, Palgrave Macmillan.
    2. 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.
    3. Unknown, 1967. "Index," 1967 Conference, August 21-30, 1967, Sydney, New South Wales, Australia 209796, International Association of Agricultural Economists.
    4. Bruno Cheli & Gianni Betti, 1999. "Fuzzy analysis of poverty dynamics on an italian pseudo panel 1985-1994," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1-2), pages 85-105.
    5. 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.
    6. Gianni Betti & Bruno Cheli & Achille Lemmi & Vijay Verma, 2008. "The Fuzzy Set Approach to Multidimensional Poverty: the Case of Italy in the 1990s," Palgrave Macmillan Books, in: Nanak Kakwani & Jacques Silber (ed.), Quantitative Approaches to Multidimensional Poverty Measurement, chapter 2, pages 30-48, Palgrave Macmillan.
    7. Greer, Joel & Thorbecke, Erik, 1986. "Food Poverty Profile Applied to Kenyan Smallholders," Economic Development and Cultural Change, University of Chicago Press, vol. 35(1), pages 115-141, October.
    8. Ravallion, Martin & Bidani, Benu, 1994. "How Robust Is a Poverty Profile?," The World Bank Economic Review, World Bank, vol. 8(1), pages 75-102, January.
    9. 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.
    10. 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.
    11. repec:bla:jecsur:v:11:y:1997:i:2:p:123-62 is not listed on IDEAS
    12. Buhong Zheng, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    13. Harold W. Watts, 1967. "The ISO-Prop Index: An Approach to the Determination of Differential Poverty Income Thresholds," Journal of Human Resources, University of Wisconsin Press, vol. 2(1), pages 3-18.
    14. Besma Belhadj, 2011. "A new fuzzy unidimensional poverty index from an information theory perspective," Empirical Economics, Springer, vol. 40(3), pages 687-704, May.
    15. Belhadj, Besma, 2012. "New weighting scheme for the dimensions in multidimensional poverty indices," Economics Letters, Elsevier, vol. 116(3), pages 304-307.
    16. Greer, Joel & Thorbecke, Erik, 1986. "A methodology for measuring food poverty applied to Kenya," Journal of Development Economics, Elsevier, vol. 24(1), pages 59-74, November.
    17. Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
    18. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 69-93.
    19. Nanak Kakwani & Jacques Silber (ed.), 2008. "Quantitative Approaches to Multidimensional Poverty Measurement," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-58235-4, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Belhadj, Besma, 2024. "Fuzzy multiple regressions for Cross-Section and Panel data," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
    2. Belhadj, Besma, 2023. "New fuzzy multiple regressions for the instantaneous and panel data “The determinants of Poverty in the Countries MENA”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Besma Belhadj, 2011. "A new fuzzy unidimensional poverty index from an information theory perspective," Empirical Economics, Springer, vol. 40(3), pages 687-704, May.
    4. Besma Belhadj & Mohamed Salah Matoussi, 2010. "Poverty in Tunisia: A Fuzzy Measurement Approach," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 146(II), pages 431-450, June.
    5. James Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 491-524, December.
    6. James E. Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later," Working Papers 2010-14, The George Washington University, Institute for International Economic Policy.
    7. Joachim Merz & Tim Rathjen, 2014. "Multidimensional time and income poverty: well-being gap and minimum 2DGAP poverty intensity – German evidence," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(4), pages 555-580, December.
    8. 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.
    9. 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.
    10. Aysenur Acar, 2014. "The Dynamics of Multidimensional Poverty in Turkey," Working Papers 014, Bahcesehir University, Betam.
    11. 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.
    12. Joachim Merz & Tim Rathjen, 2011. "Intensity of Time and Income Interdependent Multidimensional Poverty: Well-Being and Minimum 2DGAP – German Evidence," FFB-Discussionpaper 92, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    13. 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.
    14. Gallardo, Mauricio, 2022. "Measuring vulnerability to multidimensional poverty with Bayesian network classifiers," Economic Analysis and Policy, Elsevier, vol. 73(C), pages 492-512.
    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. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Temi di discussione (Economic working papers) 976, Bank of Italy, Economic Research and International Relations Area.
    17. Tomson Ogwang, 2022. "The regression approach to the measurement and decomposition of the multidimensional Watts poverty index," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(4), pages 951-973, December.
    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. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 476-487, August.
    20. Sabina Alkire, 2011. "Multidimensional Poverty and its Discontents," OPHI Working Papers 46, Queen Elizabeth House, University of Oxford.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:metroe:v:71:y:2020:i:4:p:676-688. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0026-1386 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.