The Analytical Hierarchy Process Was Used to Determine Which Car

Essay

The analytical hierarchy process was used to determine which car to purchase. Four criteria were used: price, miles per gallon, comfort, and durability. Consider the following normalized matrix and the preference vector for durability. $$~~~~~~~~~~~~~~~~~~~~~~~~~~{ \text { Durability Matrix } } ~~~~~~~~~ \text { Preference } \\\begin{array} { l c c c c } & \text { Car A } & \text { Car B } & \text { Car C } & \text { Vector } \\\hline \text { Car A } & 1 & 0.25 & 4 & 0.36 \\\text { Car B } & 4 & 1 & 0.5 & 0.59 \\\text { Car C } & 0.25 & 2.00 & 1.00 & 0.41 \\\hline\end{array}$$
Multiplying the normalized matrix by the preference vector gives the following results:
$$\begin{array} { | l | } \hline 2.17 \\\hline 2.26 \\\hline 1.69 \\\hline\end{array}$$
Compute the consistency index.