Journal of Statistical and Econometric Methods

Measurement of the monetary poverty in Cameroon using fuzzy measure theory

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• Abstract 

  In this paper, we construct a unidimensional fuzzy Foster-Greer-Thorbecke (FGT) index which enables us to measure the monetary poverty. The approach adopted for that consists to build in a measurable space, a fuzzy measurement. This fuzzy measurement allows us afterwards to define our unidimensional fuzzy FGT index as measurement of the fuzzy set of the poor. This fuzzy FGT index is afterwards used to measure the monetary poverty in Cameroon in the year 2014. The obtained results are compared with those obtained when the classical (non-fuzzy) FGT index is used.

  Mathematics Subject Classification (2010):  28E10, 28E15, 03B52.
  Keywords: Monetary poverty, Foster-Greer-Thorbecke index, Fuzzy Membership function.