HW2 (20 points) Apply Analytic Hierarchy Process (AHP) to estimate the relative importance of Affordability, Quality, and Style in your selection of a computer. Specifically, your need to do the following:
(1)Based on AHP, set up a 3×3 pairwise comparison matrix of the 3 values, normalize it, and compute the row averages.
(2) Compute the largest eigenvalue and consistency index CI of the matrix.
(3) If CI is exactly 0, then the matrix is totally consistent. If the matrix is not 0, then use your subjective judgment to identify the weakest or least confident pairwise comparison and change it to conform to the other two pairwise comparisons you have made, so that the matrix becomes totally consistent.(4) Compute the row averages for the totally consistent matrix which are the new weights for the 3 values based on AHP. Compute the ratio of the largest row average to the smallest row average and compare this ratio to the ratio of the largest weight to the smallest weight of the 3 values in your HW1a, and indicate which ratio is greater or the weights are more differentiated (Note: use the weights of the 3 values NOT the total scores of the 3 computers)
