Analytic Hierarchy Process for Strategic Priorities

People are unreliable at assigning absolute importance to many factors simultaneously but comparatively good at judging two things at a time. Saaty built AHP around pairwise comparison on a 1-9 scale precisely to reduce the cognitive load and to capture relative judgments naturally. The full set of comparisons then implies a consistent priority vector through the principal eigenvector. A side benefit is that the redundancy in many comparisons lets AHP measure how consistent the judgments are, something a single round of direct ratings cannot provide.

The consistency ratio compares the inconsistency in your judgment matrix to that of a random matrix of the same size; Saaty's rule of thumb is to accept a ratio of about 0.10 or less. A high ratio signals contradictory or intransitive judgments — for example rating A far above B, B above C, yet C above A. The remedy is to revisit the offending comparisons rather than to force the number down mechanically. Importantly, acceptable consistency certifies logical coherence, not correctness: it does not guarantee the criteria or alternatives were well chosen.

Yes, and it is often used for them, because it makes each participant's trade-offs explicit and the final ranking traceable. Group judgments are typically aggregated either by combining individual comparisons (commonly via the geometric mean) or by reaching consensus on each comparison. The key caution is that participants must share a common understanding of what each criterion means; otherwise their comparisons are not comparable. When used carefully, AHP gives strategy teams a transparent, defensible structure for negotiating and documenting collective priorities.