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Analytical Hierarchy Process

Analytical Hierarchy Process. Hyman Chapter 9.3. Relative Preferences (Pairwise Comparison). Can be used in the pairwise comparison for a specific criterion but with a finer relative scale as shown in the following table. Relative Scale for Preference in Pairwise Comparison.

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Analytical Hierarchy Process

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  1. Analytical Hierarchy Process Hyman Chapter 9.3

  2. Relative Preferences (Pairwise Comparison) • Can be used in the pairwise comparison for a specific criterion but with a finer relative scale as shown in the following table Relative Scale for Preference in Pairwise Comparison

  3. Pairwise Comparison (Torque criterion) • Three options A, B, and C • A is strongly preferred over B (scale of 5) • A is very strongly preferred over C (scale of 7) • B is strongly/moderately preferred over C (4) 1/3(0.106+0.04+0.084)=0.077

  4. Relative Importance (Pairwise Comparison) • Similar scale can also be used in the relative comparison between criteria (ex. how important in considering torque vs. bearing loads in design; it is the “k” factor in Hyman chapter 9, figure 9.2) Relative Scale for importance in Comparison of Criteria

  5. Pairwise Comparison Between Criteria • Three criteria slippage (S), bearing loads (BL), and torque (T) • BL is moderately more important than S (scale of 3) • BL is moderately/equally important than T (scale of 2) • S is equally important then T (1) 1/3(0.2+0.273+0.25)=0.241

  6. Overall Weighed Scale Different design weighed scale Criteria weighed scale importance to overall design Inferior design A = (0.211)(0.379) + (0.549)(0.319) + (0.241)(0.709) = 0.426 B = (0.211)(0.425) + (0.549)(0.074) + (0.241)(0.214) = 0.182 C = (0.211)(0.196) + (0.549)(0.607) + (0.241)(0.077) = 0.393

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