A Class of poverty measures induced by the dual decomposition of aggregation functions

J.L. García Lapresta, C. Lasso de la Vega, R.A. Marques Pereira, A. M. Urrutia
International Journal of Uncertainty Fuzziness and Knowledge- Based Systems, Vol.18, No. 4, 493-511.

In this paper we introduce a new family of poverty measures for comparing and ordering
social situations. The aggregation scheme of these poverty measures is based on the
exponential means. The poverty measures introduced satisfy interesting properties and
their dual decomposition provides a factorization of the proposed indices into three
underlying factors: incidence, intensity and inequality among the poor.

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