The following table is the comparison scale for the importance of criteria using AHP. A Verbal Judgment Numerical Rating Flavor B C Extremely more Very strongly more Strongly more Moderately more Equally A 1 B 9 1 8 Suppose an individual was asked to compare three soft drinks with respect to flavor. The following is their response. A is strongly to very strongly more preferable than C. B is equally to moderately more preferable than A. B is strongly to very strongly more preferable than C. (a) Set up the pairwise comparison matrix for this problem. 7 6 5 4 3 2 1 C 1 (b) Determine the priorities for the soft drinks with respect to the flavor criterion. (Round your answers to three decimal places.) Flavor A Flavor B Flavor C (c) Compute the consistency ratio. (Use RI = 0.58. Round your answer to three decimal places.) Are the individual's judgments consistent? Explain. Since consistency ratio is ---Select--than 0.10, the individual's judgments are ---Select--- ✪

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following table is the comparison scale for the importance of criteria using AHP.
A
Verbal Judgment Numerical Rating
Extremely more
Flavor
B
Very strongly more
C
Strongly more
Moderately more
Equally
A
1
B
9
1
8
Suppose an individual was asked to compare three soft drinks with respect to flavor. The following is their response.
A is strongly to very strongly more preferable than C.
B is equally to moderately more preferable than A.
B is strongly to very strongly more preferable than C.
(a) Set up the pairwise comparison matrix for this problem.
7
6
5
4
3
2
1
C
1
(b) Determine the priorities for the soft drinks with respect to the flavor criterion. (Round your answers to three decimal
places.)
Flavor A
Flavor B
Flavor C
(c) Compute the consistency ratio. (Use RI = 0.58. Round your answer to three decimal places.)
Are the individual's judgments consistent? Explain.
Since consistency ratio is ---Select-- than 0.10, the individual's judgments are ---Select---
Transcribed Image Text:The following table is the comparison scale for the importance of criteria using AHP. A Verbal Judgment Numerical Rating Extremely more Flavor B Very strongly more C Strongly more Moderately more Equally A 1 B 9 1 8 Suppose an individual was asked to compare three soft drinks with respect to flavor. The following is their response. A is strongly to very strongly more preferable than C. B is equally to moderately more preferable than A. B is strongly to very strongly more preferable than C. (a) Set up the pairwise comparison matrix for this problem. 7 6 5 4 3 2 1 C 1 (b) Determine the priorities for the soft drinks with respect to the flavor criterion. (Round your answers to three decimal places.) Flavor A Flavor B Flavor C (c) Compute the consistency ratio. (Use RI = 0.58. Round your answer to three decimal places.) Are the individual's judgments consistent? Explain. Since consistency ratio is ---Select-- than 0.10, the individual's judgments are ---Select---
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