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Fuzzy set based intra-urban inequality indicator

Author

Listed:
  • Matheus Pereira Libório

    (Pontifical Catholic University of Minas Gerais)

  • Petr Yakovlevitch Ekel

    (Pontifical Catholic University of Minas Gerais
    Federal University of Minas Gerais)

  • Oseias da Silva Martinuci

    (State University of Maringá)

  • Letícia Ribeiro Figueiredo

    (Pontifical Catholic University of Minas Gerais)

  • Renato Moreira Hadad

    (Pontifical Catholic University of Minas Gerais)

  • Renata de Mello Lyrio

    (Federal University of Minas Gerais)

  • Patrícia Bernardes

    (Pontifical Catholic University of Minas Gerais)

Abstract

Intra-urban inequality is not strictly defined and therefore cannot be measured accurately. The literature shows that the measurement of inequality varies depending on the judgment of the experts and that this judgment can be realized in several ways. Taking this into account, the capabilities created using fuzzy set theory and consensus schemes can be useful in the process of measuring inequality. The objective of their use is twofold. First, analyze the degree to which experts diverge on an ill-defined phenomenon such as inequality. Second, build a fuzzy set based Intra-Urban Inequality Indicator (F-II-I). The results of the present research show that F-II-I is adequate to represent the intra-urban inequality. The experts involved agree 93% on the weight of the inequality variables. The correlation coefficient and the proportion of outliers between the F-II-I and the Average Monthly Income per Household is 0.61 and 0.06, respectively. The degree of uncertainty associated with the different ways of normalizing and aggregating the F-II-I variables was 0.11. The pattern of inequality represented by F-II-I is consistent with similar studies and with the World Bank's Poverty Line. This research contributes to the practice as it combines methods and techniques that make it possible to measure phenomena without strict definition and to consider conflicting opinions expressed in different ways. As a theoretical contribution, this research demonstrates a certain degree of a satisfactory definition of intra-urban inequality. Besides, even if this definition's limits remain unclear, there is a reasonable consensus degree on specific aspects of inequality.

Suggested Citation

  • Matheus Pereira Libório & Petr Yakovlevitch Ekel & Oseias da Silva Martinuci & Letícia Ribeiro Figueiredo & Renato Moreira Hadad & Renata de Mello Lyrio & Patrícia Bernardes, 2022. "Fuzzy set based intra-urban inequality indicator," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(2), pages 667-687, April.
    • Handle: RePEc:spr:qualqt:v:56:y:2022:i:2:d:10.1007_s11135-021-01142-6
    DOI: 10.1007/s11135-021-01142-6
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    1. Alexei Manso Correa Machado & Petr Iakovlevitch Ekel & Matheus Pereira Libório, 2023. "Goal-based participatory weighting scheme: balancing objectivity and subjectivity in the construction of composite indicators," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(5), pages 4387-4407, October.

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