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value, ARB.stim. Also these points are named as membership values of input variable
for related membership function. The minimum of these points is taken as the mem-
bership value of input variable x, ARB.stim (Eq. (6)).
μ
(x)
=
MIN(
μ
(x),
μ
(x)),
x
x
(6)
A
B
A
B
Here in Eq. (6),
μ B (x) is the membership
value of x in B, where A and B are the fuzzy sets in universe X. The calculated input
membership value is used to get the output value through output membership func-
tions, which are shown in Fig. 2.b
In the x-axis of Fig. 2.b, allocated resource number that will be calculated using the
membership functions for the ARB is shown which changes between 0-10. The
weight in the y-axis, which is the input membership value get as explained above,
intersects the membership triangles at several points. The rule base for Fuzzy Re-
source Allocation is seen in Fig. 3.
μ A (x) is the membership value of x in A and
Fig. 3. Rule base for fuzzy resource allocation
Here VS, S, MS…etc are the labels of input membership triangles and VS',S',
MS'…etc are the labels of output membership values. The rules in Fig. 3 define
which points will be taken to average. For example if the input value cuts the triangles
VS and S among the input membership functions, then the points to be averaged will
be only the ones of VS' and S' triangles in the output membership functions.
Whereas determining membership value and getting output value using fuzzy-rules
are of crucial importance, another important point is determination of linguistic values
used in the input and output membership functions, which are shown in Table 2.
 
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