The Analytical Hierarchy Process Was Used to Determine Which Car

question 48

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.

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Definitions:

Pierre Bourdieu

A French sociologist who made significant contributions to the understanding of social structures, cultural practices, and the concepts of habitus, cultural capital, and social field.

Symbolic Violence

A term by Pierre Bourdieu that refers to the self-perpetuating systems of social inequality maintained by cultural and symbolic systems of domination.

Symbolic Power

The capacity to control, legitimize, and enforce meanings, symbols, and cultural norms without using direct physical force.

Racial Domination

A societal condition where one racial group subjugates and maintains power over another racial group through economic, political, social, and institutional means.