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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.

Suggested Citation

  • 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. A., Rjumohan, 2017. "Fuzzy Set Theory: A Primer," MPRA Paper 101875, University Library of Munich, Germany.
    3. 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.
    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. 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).
    6. 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).
    7. 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.

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