Example: Washing Machines Criteria Transformation

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