When to use it

Use it when participants can explain and challenge their comparisons.

When to be cautious

A precise weight does not remove subjective judgement. Inconsistency, dependence and rank reversal need attention.

Apply it

  1. Define the decision hierarchy without overlapping criteria.
  2. Elicit comparisons and examine consistency rather than concealing it.
  3. Test how robust the ranking is to reasonable changes in judgement.

Try a related calculator

An example in practice

A sourcing team disagrees about reliability versus flexibility. Pairwise discussion exposes the trade-off before any overall ranking is trusted.

Source & credit

Thomas L. Saaty developed the Analytic Hierarchy Process. This later paper by Saaty and Konrad Kułakowski explains its foundations; it is not its first publication.

Saaty & Kułakowski: Axioms of the Analytic Hierarchy Process

This explanation and example are independently written. The source is a reading reference; linking it does not grant permission to reuse its text, figures or assessments.

Learn and apply

Explore decisions: guides, calculations and sources