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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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Preferable reference for this tutorial is

Teknomo, Kardi. (2006) Analytic Hierarchy Process (AHP) Tutorial .
http://people.revoledu.com/kardi/tutorial/AHP/