1 / 6

Analytical Hierarchy Process - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

PowerPoint Slideshow about ' Analytical Hierarchy Process' - geraldine-salinas

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Analytical Hierarchy Process

Hyman Chapter 9.3

• 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

• 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

• 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

• 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

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