Civil Engineering Reference
In-Depth Information
Fig. 1
Assessment indicator structure
Tabl e 1
Response for the seven sample
Very low = 1
Low = 2
Medium = 3
High = 4
Very high = 5
F 1
0.7
0.3
0
0
0
F 2
0
0.9
0.1
0
0
F 3
0
0
0.7
0.3
0
F 4
0
0
0
0.3
0.7
F 5
0
0
0
0.9
0.1
F 6
0
0
0.4
0.6
0
F 7
0
0
0
0.2
0.8
sequence of random fuzzy sample on U , is the memberships with respect to L j .
Then, the fuzzy sample mean is defined as (Table 1 )
i
i
i
1
/
n
1 m i 1
1
/
n
1 m i 2
1
/
n
1 m ik
=
=
=
F x
=
+
+ ... +
L 1
L 2
L k
Example 3.1. The fuzzy value of x 1 is F 1 =(
0
.
7
,
0
.
3
,
0
,
0
,
0
)
. Similarly, we get the
other fuzzy samples as follows:
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