A professor of political science wants to predict the outcome of a school board election. Three candidates, Ivy (I), Bahrn (B), and Smith (S), are running for one position. There are three categories of voters: left (L), center (C), and right (R). The candidates are judged based on three factors: educational experience (E), stand on issues (S), and personal character (P). The following are the comparison matrices for the first hierarchy of left, center, and right.

The professor generated nine more comparison matrices for the second hierarchy representing experience (E), stand on issues (S), and personal character (P). AHP was then used to reduce these matrices to the following relative weights:

Determine the winning candidate, and assess the consistency of the decision.

Transcribed Image Text:

A = Ac = L C R E S P LCR 2/1/2 2 5 1 ESP 2 2 1 1 1 1 1 AL AR = = E S P E S P ESP N E 13/ 3 1 SP 1 9 118