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When the dimensions of the criteria are different, normalization of the data is required. Normalization is the process of bringing all the criteria to a comparable platform by making them dimensionless. Table 10 presents normalized data of criteria mentioned in Table 9. Criterion AB was beneficial and all other criteria/sub-criteria were non-beneficial. Beneficial criteria were the cases of maximization and the non-beneficial criteria were the cases of minimization. Normalized values of a beneficial criterion were obtained by dividing each element of the criterion in the decision table by its largest element. In the case of non-beneficial criteria, the reciprocal of each element of the criterion in the decision table was multiplied by its smallest element.

Table 10

Normalization of the data

OptionTRCABΔpHTUREC25TSSO&GBOD5BoronSARFC
Option 1 1.00 0.53 1.00 0.14 1.0 0.28 0.13 0.26 1.00 0.75 1.00 
Option 2 0.06 0.80 0.55 0.68 0.94 0.84 1.00 0.67 1.00 1.00 1.00 
Option 3 0.05 1.00 0.65 1.00 0.89 1.00 0.48 1.00 1.00 0.64 1.00 
Option 4 0.14 0.93 0.44 0.27 0.89 0.60 0.33 0.49 1.00 0.70 1.00 
OptionTRCABΔpHTUREC25TSSO&GBOD5BoronSARFC
Option 1 1.00 0.53 1.00 0.14 1.0 0.28 0.13 0.26 1.00 0.75 1.00 
Option 2 0.06 0.80 0.55 0.68 0.94 0.84 1.00 0.67 1.00 1.00 1.00 
Option 3 0.05 1.00 0.65 1.00 0.89 1.00 0.48 1.00 1.00 0.64 1.00 
Option 4 0.14 0.93 0.44 0.27 0.89 0.60 0.33 0.49 1.00 0.70 1.00 

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