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Fuzzy ranking of human development: A proposal

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  • Zheng, Buhong
  • Zheng, Charles

Abstract

In this paper we propose to measure human development as a fuzzy concept. We stress that there exists a great deal of vagueness in quantifying a country’s level of human development; one such source of vagueness is the weighting scheme embedded in the well-publicized UNDP’s Human Development Index (HDI). We propose to evaluate the resulting fuzziness in human development ranking with a truth value function. A truth value is simply a function of the probability that a randomly drawn bundle of weights will rank one country to have a higher HDI than another country. We derive simple and easily computable formulae for calculating the truth value. The method derived is equally applicable to fuzzy rankings with other composite indices.

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  • Zheng, Buhong & Zheng, Charles, 2015. "Fuzzy ranking of human development: A proposal," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 39-47.
    • Handle: RePEc:eee:matsoc:v:78:y:2015:i:c:p:39-47
    DOI: 10.1016/j.mathsocsci.2015.09.002
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    Cited by:

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    2. Raquel Lourenço Carvalhal Monteiro & Valdecy Pereira & Helder Gomes Costa, 2018. "A Multicriteria Approach to the Human Development Index Classification," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(2), pages 417-438, April.
    3. Suman Seth & Mark McGillivray, 2018. "Composite indices, alternative weights, and comparison robustness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 657-679, December.
    4. Suman Seth & Mark McGillivray, 2018. "Composite indices, alternative weights, and comparison robustness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 657-679, December.
    5. A., Rjumohan, 2017. "Fuzzy Set Theory: A Primer," MPRA Paper 101875, University Library of Munich, Germany.
    6. Pereira, Javier & Contreras, Pedro & Morais, Danielle C. & Arroyo-López, Pilar, 2022. "A multi-criteria and stochastic robustness analysis approach to compare nations sustainability," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    7. Pereira, Javier & Contreras, Pedro & Morais, Danielle C. & Arroyo-López, Pilar, 2022. "Multi-criteria ordered clustering of countries in the Global Health Security Index," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).

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