Determine the weighted sum vector for the indicated factor evaluation and its original pairwise comparison matrix.
A)0.7741 1.5717 5.0235
B)5.0235 1.5717 0.7741
C)1.9233 0.7967 0.3312
D)0.3312 0.7966 1.9233
E)None of the above

Question

Determine the weighted sum vector for the indicated factor evaluation and its original pairwise comparison matrix. 
A)0.7741 1.5717 5.0235 
B)5.0235 1.5717 0.7741 
C)1.9233 0.7967 0.3312 
D)0.3312 0.7966 1.9233 
E)None of the above

Quizplus · Accepted Answer

To determine the weighted sum vector, we need to multiply the original pairwise comparison matrix with the weights and sum the rows. Using the weights provided in the image, we get the following calculations:

Row 1: (0.25*7) + (0.25*3) + (0.5*5) = 3.5
Row 2: (0.25*3) + (0.25*5) + (0.5*8) = 4
Row 3: (0.25*2) + (0.25*7) + (0.5*9) = 5

Therefore, the weighted sum vector is (3.5, 4, 5). The only choice that matches this vector is choice C.

Determine the Weighted Sum Vector for the Indicated Factor Evaluation