The Analytic Hierarchy Process: The Possibility Theorem for Group Decision Making (original) (raw)

1996, Proceedings of the International Symposium on the Analytic Hierarchy Process

Arrow's Impossibility Theorem says that it is generally impossible to derive a rational group choice from ordinal comparisons made by the individual members. This paper demonstrates that, at appropriate consistency levels, and with the use of judgments on a cardinal scale, the Analytic Hierarchy Process negates Arrow's impossibility. Arrow's conditions are satisfied when aggregation is done at the judgment level when individual judgments are consistent, and at the priority level when they are near consistent.

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