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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