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Axiomatic Analysis of the Semi-Fuzzy Poverty Indices MIf and PGf

Author

Listed:
  • Majda Fikri

    (RTZ Marocco)

  • Mohammed El Khomssi

    (Marocco)

Abstract

Every poverty index can be classified into one of the two major classes; classical indices and fuzzy indices; except for the semi-fuzzy poverty indices such as PGf and MIf which hybridize between the theory of classical sets and that of fuzzy sets, which makes their axiomatic analysis very special since it uses both classical and fuzzy mathematical tools. In order to better exploit and characterize the PGf and MIf indices, we propose in this paper an axiomatic analysis by mathematically demonstrating, on the one hand, the satisfaction of these two indices of a set of axioms most desirable by economists, which shows their performance in describing poverty. On the other hand, we discuss their limits according to three axioms that we demonstrate in order to improve the formula of these semi-fuzzy indices of poverty.

Suggested Citation

  • Majda Fikri & Mohammed El Khomssi, 2017. "Axiomatic Analysis of the Semi-Fuzzy Poverty Indices MIf and PGf," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 13(4), pages 209-226, AUGUST.
    • Handle: RePEc:dug:actaec:y:2017:i:4:p:209-226
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    References listed on IDEAS

    as
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    3. Majda Fikri & Mohammed Elkhomssi & Sahar Saoud, 2011. "Proposal of a Semi Fuzzy Poverty Index," EuroEconomica, Danubius University of Galati, issue 28, pages 23-37, May.
    4. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    5. Terra McKinnish, 2005. "Importing the Poor: Welfare Magnetism and Cross-Border Welfare Migration," Journal of Human Resources, University of Wisconsin Press, vol. 40(1).
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