Page 9 - Azerbaijan State University of Economics

Gorkhmaz Imanov, Asif Aliyev : Fuzzy Linguistic Forecasting of Social Mobility

T( ) = ∑ ( ln ) (8)

=1

where is the mean of equivalent incomes in the final period.
Mobility is measured using the approach proposed by G. S. Fields and E. A. Ok
e
e
(1999), considering the transformation X → Y

M ( , ) = (9)

Using the same way mentioned above we adjust it for social groups:

M ( , ) = ∑ (|ln( ) − ln( )|) (10)

=1

G
Total mobility is decomposed into three elements: mobility due to growth (M ),
E
D
mobility resulting from dispersion (M ) and exchange mobility (M ). To this end,
the following transformation function is considered according to Van Kerm (2004):

→ → → (11)

where µ = is the mean of of equivalent incomes in the intermediate period,

( , , … , ) – is intermediate distribution, defined as final distribution of
2

1
equivalent income, ranked according to .

Thus, the components of total mobility is obtained:

( , ) = ( , ) − ( , ) =

( , ) = ( , ) − ( , ) = -

( , ) = ( , ) − ( , ) = -
(12)

Thus, mobility components adjusted for social groups take the form:

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