Question
A person is trying to decide which SUV to purchase. You recommended using AHP to help with the decision-making process. After an initial interview you
A person is trying to decide which SUV to purchase. You recommended using AHP to help with the decision-making process. After an initial interview you have determined that the four criteria the person will base the decision on are: cost, miles per gallon (MPG), horse power (HP), and manufacturer. The following table presents the 4 criteria along with 4 alternatives. This table is just for reference; you will not need it in this exercise.
| Criteria | |||
Alternatives | Cost | Miles per gallon (MPG) | Horse Power (HP) | Manufacturer |
Grand Cherokee | $34,635.00 | 22 | 210 | Jeep |
Explorer | $25,999.00 | 20 | 292 | Ford |
4-runner | $27,635.00 | 21 | 260 | Toyota |
Tucson | $16,995.00 | 24 | 173 | Hyundai |
Upon doing the pairwise comparisons, the person said the following:
- Prefers cost over MPG with a strength of 2.
- Prefers cost over HP with a strength of 7.
- Prefers manufacturer over cost with a strength of 3.
- Prefers MPG over HP with a strength of 2.
- Prefers manufacturer over MPG with a strength of 5.
- Prefers manufacturer over HP with a strength of 7.
- Using the results from the pairwise comparisons, create the A matrix for the criteria.
- Calculate ANorm and wT.
- Perform the consistency check on the A matrix. Was the person consistent?
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