The synthesis process, as the final stage of AHP, is performed by multiplying the local weights of factors at the bottom level with the corresponding weights of factor groups at the higher level (see illustrative example in Table 5). The output of the synthesis is the final individual weights of all 16 factors, which are used as the inputs to Step 2 in order to derive the consensus weights of factors.

Table 5

Defining final weights of sub-criteria (illustrative example with two criteria and five sub-criteria)

Weights of criteriaWeights of sub-criteria according to criteriaFinal weights of sub-criteria
C1 = 0.4 SC1 = 0.6 FSC1 = C1 * SC1= 0.24
SC2 = 0.4 FSC2 = C1 * SC2= 0.16
C2 = 0.6 SC3 = 0.7 FSC3 = C2 * SC3= 0.42
SC4 = 0.2 FSC4 = C2 * SC4= 0.12
SC5 = 0.1 FSC5 = C2 * SC5= 0.06
Weights of criteriaWeights of sub-criteria according to criteriaFinal weights of sub-criteria
C1 = 0.4 SC1 = 0.6 FSC1 = C1 * SC1= 0.24
SC2 = 0.4 FSC2 = C1 * SC2= 0.16
C2 = 0.6 SC3 = 0.7 FSC3 = C2 * SC3= 0.42
SC4 = 0.2 FSC4 = C2 * SC4= 0.12
SC5 = 0.1 FSC5 = C2 * SC5= 0.06

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