Question

In: Statistics and Probability

A decision-maker uses Affordability (A), Quality (Q), and Style (S) as the criteria for selecting a...

  • A decision-maker uses Affordability (A), Quality (Q), and Style (S) as the criteria for selecting a car among three candidates, X, Y, and Z, with the following preferences:

A is moderately to strongly more preferable than Q

A is extremely more preferable than S

Q is moderately more preferable than S

Use AHP's 1-9 scale to show the following three pairwise comparisons:

A vs Q =

A vs S =

Q vs S =

  • Following Question 1, find the row averages of the normalized pairwise comparison matrix to be shown as follow:

A row average =

Q row average =

S row average =

  • Following Question 1,

Compute the three estimates of Lambda max, the largest eigenvalue of the pairwise comparison matrix.

Compute the best estimate of Lambda max.

Compute the consistency index, CI.

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