Question
5a. (20 points) For 4 choices A, B, C, and D, a decision-maker has the following pair-wise comparison matrix and rankings of the confidence in
5a. (20 points) For 4 choices A, B, C, and D, a decision-maker has the following pair-wise comparison matrix and rankings of the confidence in their validity:
A B C D (1) B vs. D Highest
A 1 3 5 7 (2) A vs. D
B 1 1/3 1/5 (3) C vs. D
C 1 3 (4) A vs. C
D 1 (5) A vs. B
(6) B vs. C Lowest
Use the rankings as the basis to make the matrix totally consistent.
5b. (5 points) What are the largest eigenvalue and Consistency Index for the totally consistent matrix?
Note: 5 points will be deducted from each incorrect pairwise comparison above the diagonal. Thus, if you have 4 or more incorrect pairwise comparisons above the diagonal, you will have a 0 score, even if you answer 5b correctly.
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