Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

-Use Table M1-5 to determine the priority for the Kilt in the style factor's normalized matrix.
A)0.0874
B)0.0909
C)0.0738
D)0.0769

Question

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:
    
-Use Table M1-5 to determine the priority for the Kilt in the style factor's normalized matrix.
A)0.0874 
B)0.0909 
C)0.0738 
D)0.0769

Quizplus · Accepted Answer

To determine the priority for the Kilt in the style factor's normalized matrix, we need to calculate the weighted sum of the values in its column. The normalized matrix for the style factor is:

Kilt     Lederhosen     Grass Skirt
Kilt  1        4/7            3/7
Lederhosen 7/4      1              3
Grass Skirt 7/3      1/3            1

The weight vector for the style factor is:

0.35
W = 0.45
     0.20

The weighted sum for the Kilt is:

0.35(1) + 0.45(7/4) + 0.20(7/3) = 0.0874

Therefore, the priority for the Kilt in the style factor's normalized matrix is 0.0874. The best choice(s) for the professor depends on his own preferences and trade-offs between the criteria.

Table M1-5 It Is International Day on Campus and a Professor of Professor