IDEAS home Printed from
   My bibliography  Save this book chapter

An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets

In: Fuzzy Set Approach to Multidimensional Poverty Measurement


  • Satya R. Chakravarty

    (Indian Statistical Institute)


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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Satya R. Chakravarty, 2006. "An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Achille Lemmi & Gianni Betti (ed.), Fuzzy Set Approach to Multidimensional Poverty Measurement, chapter 3, pages 49-72, Springer.
  • Handle: RePEc:spr:esichp:978-0-387-34251-1_4
    DOI: 10.1007/978-0-387-34251-1_4

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:


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

    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    8. Zheng, Buhong & Zheng, Charles, 2015. "Fuzzy ranking of human development: A proposal," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 39-47.
    9. 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.
    10. 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.
    11. 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.
    12. 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).
    13. 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.
    14. 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.
    15. 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.
    16. María Noel Pi Alperin, 2016. "A multidimensional approach to measure health," Economics Bulletin, AccessEcon, vol. 36(3), pages 1553-1568.
    17. 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.
    18. Besma Belhadj, 2011. "A new fuzzy unidimensional poverty index from an information theory perspective," Empirical Economics, Springer, vol. 40(3), pages 687-704, May.
    19. 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.
    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.


    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:spr:esichp:978-0-387-34251-1_4. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: .

    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.