Information Technology Reference
In-Depth Information
Step2:
Using analysis hierarchy process to calculate the index weight.
(a)
Constructing a judgment matrix
B
, we use Table I to determine the value of
B
.
Table 1.
The Reference Values of Elements in Matrix
B
Relative importance
Definition
Meaning
1
Equally importance
Two attributes are
equally importance
3
Slightly importance
One attribute is more
slightly importance
5
Considerable impor-
tance
One is considerable
importance
7
Obvious importance
One is more obvious
than another
9
Absolutely impor-
tance
One is more absolute
importance
Compromise
Compromise of two
grades
、
、
、
2
4
6
8
bb
b
11
12
1
m
bb
b
21
22
2
m
B
=
bb
b
m
1
m
2
mm
b
relative to
i
b
are scale of
b
in matrix
B
.
The elements
(b)
To determine the weight of different indexes and check consistency:
(i)
Multiplication element of B in a row:
m
b
=Π
b
j
=
1, 2,
(2)
,
m
i
ij
j
=
1
(ii)
Calculating product to the m
th
roots:
c
=
b
i
=
1, 2,
(3)
,
m
m
i
i
(iii)
Weight calculation:
c
w
=
i
i
=
1, 2 ,
(4)
,
m
i
m
c
j
j
=
1
(iv)
Checking consistency: we compute the latent root of
B
and calculate coin-
cidence index denoted by
CI
.
