Common assumption of many MADM is that all criteria
are maximal. This assumption is not met in the washing machines model.
Example: Washing machines -
Decision Matrix.
The criteria transformation involves only the minimal criteria.
The part of
criteria transformation is a change of their names.
2 | electric
power consumption
kW per one washing cycle |
Saved
electric power
kW per one washing cycle |
( in comparison with the variant with highest electric power consumption) | ||
3 | water
consumption
litres per one washing cycle |
Saved
water
litres per one washing cycle |
( in comparison with the variant with highest water consumption) | ||
5 | Cost
price of washing machine
CZK |
Saved
cost price
CZK |
( in comparison with the most expensive variant) |
Appropriate columns of the decision matrix are than:
f2
|
f3
|
f5
|
0,89
|
39
|
39990
|
1,05
|
54
|
22990
|
1,1
|
59
|
19990
|
1,15
|
59
|
17990
|
1,05
|
52
|
21590
|
1,3
|
72
|
14490
|
0,94
|
41
|
27990
|
1,3
|
72
|
14390
|
1,2
|
59
|
16390
|
1,25
|
74
|
15990
|
STEP 1: In each column find the column maximum (marked in the above table):
STEP 2:Transforrm each element in each column. The transformed decision matrix A thereinafter:
1600
|
0,41
|
35
|
5
|
0
|
1000
|
0,25
|
20
|
5
|
17000
|
1000
|
0,2
|
15
|
5
|
20000
|
850
|
0,15
|
15
|
5
|
22000
|
1200
|
0,25
|
22
|
5
|
18400
|
500
|
0
|
2
|
5
|
25500
|
1200
|
0,36
|
33
|
5,5
|
12000
|
800
|
0
|
2
|
5
|
25600
|
500
|
0,1
|
15
|
3,5
|
23600
|
850
|
0,05
|
0
|
5
|
24000
|