Evaluating the analytic hierarchy process and recommended modifications for its use in multi-attribute decision making by McQuail William H

Author:McQuail, William H.
Language: eng
Format: epub
Publisher: Monterey, California: U.S. Naval Postgraduate School
Published: 1993-09-26T04:00:00+00:00

standard. Both the scale intervals and standard can be arbitrarily chosen, but once they are, measurements must be made consistent with this scale.

C. PAIRWISE COMPARISON SCALING

There is inherent inconsistency in the nine point scale used by AHP. The nine point pairwise comparison scale is defined in Figure 1 in Chapter II.

Immediately, it is possible to pose theoretical problems impossible to formulate when restricted to this nine point scale. This is the case if one is faced with three alternatives, A, B, and C with the following pairwise comparison results. Alternative C is deemed to have extreme importance over B, and B is deemed to have extreme importance over A. One would assume C would have much more than extreme importance over A, but this is not possible with AHP. To say that alternative C is just of extreme importance over A defies logic. That would imply that the decision maker should be indifferent between B and A (after all, C is of extreme importance over both these alternatives). Perhaps the decision maker should now decide alternative C now only has strong importance to B and B only has strong importance to A so C can have extreme importance over A. This new hierarchy is neither consistent, nor does it explain why a decision maker should revise his or her estimate of the pairwise comparison of alternatives.

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