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2) Constructing the fuzzy evaluation matrix
R
Determining membership degree that Factors correspond with every assessment level,
which calculate evaluation matrix
R
of
U
by fuzzy mapping
.
f
:
U
→
V
Evaluation matrix
R
can be show as the following:
.In the formula,
R
=
(
r
)
i
ijk
q
×
m
r
u
show membership degree of index
which correspond with
k
level reviews
V
.
ijk
i
j
m
∑
=
r
=
t
t
The value of
can be determined by
(
t
show the
V
level reviews).
r
ijk
k
k
ijk
t
1
3) Constructing the index weight at all levels
)
Show weight vector of the index. There are a great number of methods
to confirm the index weight, such as rough set, entropy weight method, AHP method
e.g. The weight of evaluation set plays an important role in the comprehensive evalua-
tion. In this article, using the AHP method construct the index weight.
4) Setting up the comprehensive evaluation
Firstly, based on AHP method described in the above content, we can figure out the
second-lever index weight coefficient vector
K
=
(
K
,
K
,
L
K
1
2
K
.The composition
B
can use the ma-
trix's multiplication, that is
.
B
=
K
×
R
=
(
b
,
b
,
L
,
b
)
i
i
i
i
1
i
2
im
Secondly, the result of the evaluation is
B
and it is the
U
's evaluation. Now, we
can obtain matrix of degree of membership by following:
B
b
b
L
b
⎛
⎞
⎛
⎞
⎜
1
⎟
⎜
11
12
1
m
⎟
B
b
b
L
b
⎜
⎟
⎜
⎟
2
21
22
3
m
R
=
=
⎜
⎟
⎜
⎟
M
M
M
O
M
⎜
⎜
⎟
⎟
⎜
⎜
⎟
⎟
B
b
b
L
b
⎝
⎠
⎝
⎠
For
R
, we use following get the comprehensive evaluation result
B
:
)
n
n
1
n
2
nm
T
B
=
C
×
R
=
(
c
,
c
,
L
c
)
×
[
B
,
B
,
L
B
]
=
(
b
,
b
,
L
b
1
2
n
1
2
n
1
2
m
5) Determining the assessment results
According to the maximum degree of membership principle, The maximal
element
b
belongs to an especial evaluation grade in the ultimate result vector
)
. Namely, it is the final evaluating consequence. With the formula ex-
B
=
(
b
,
b
,
L
b
1
2
pressed as:
b
*
=
max{
b
,
b
,
L
b
}
.
1
2
3 Supply Chain Operations Risk Assessment Based on Fuzzy
Supply chain is a dynamic network alliance which is built around the enterprise, so the
risk management lacks original data and can't show the objective probability distribu-
tion. Fuzzy comprehensive evaluation is a relatively mature theory, besides the
fuzziness of supply chain data determines the applicability of this method, but the
determination of the weight is more subjective. In order To solve this problem, this
article will combine AHP theory and fuzzy theory and build supply chain finance Op-
erational risk assessment model based on fuzzy comprehensive evaluation which
determines weight use AHP.
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