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Decision Based on Weighted Criteria
Having a fair decision table as shown in Table 4 , now come out another question. What happen if the factors have different importance weight? Of course the weight of importance is subjective value, but we would like to know how the result will change if we put different weight on each factor.
Just for example we judge that factor B and C are 2 times more important than factor D while factor A is 3 times more important than factor B. We normalized the subjective judgment of importance level and we obtain weight of importance as shown in Table below
Table 5: Weight of Importance

Factor A 
Factor B 
Factor C 
Factor D 
Sum 
Importance Level 
6 
2 
2 
1 
11 
Importance Weight 
54.5% 
18.2% 
18.2% 
9.1% 
100.0% 
Having the normalized weight of each factor, now we can multiply the converted score of table 4 with the normalized weight and get the new weighted score as show in table 6.
Table 6: Weighted scores
Criteria  Alternatives 
Weight 
Choice X 
Choice Y 
Choice Z 
Factor A 
54.5% 
0.109 
0.436 
0.545 
Factor B 
18.2% 
0.035 
0.127 
0.090 
Factor C 
18.2% 
0.000 
0.091 
0.136 
Factor D 
9.1% 
0.036 
0.068 
0.036 
Sum 
100.0% 
0.180 
0.722 
0.808 
Normalized Score 

10.5% 
42.2% 
47.2% 
Comparing the normalized score of Table 4 and Table 6 we can observed some shift on the choice. In Table 4, choice Y is preferable than Z. However, after we include the weight of importance of each factor, we conclude that choice Z is the most preferable alternative.
We have learned simple method to quantify our subjective opinion for our decision making. In the next section you will learn another powerful method called Analytic Hierarchy Process (AHP).
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Comments for this tutorial
These tutorial is copyrighted .
Preferable reference for this tutorial is
Teknomo, Kardi. (2006) Analytic Hierarchy Process (AHP) Tutorial .
http://people.revoledu.com/kardi/tutorial/AHP/