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.