AHP Calculator (Analytic Hierarchy Process)

Define criteria and alternatives, fill in pairwise comparison matrices using the 1–9 Saaty scale, and the tool will compute: criteria weights, alternative weights per criterion, overall priority of alternatives, and the consistency ratio.

Criteria matrix CR

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Best alternative

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Total alternatives

3

How this AHP calculator works

This tool implements the classic Saaty method:

  1. Create the criteria pairwise comparison matrix \(A\).
  2. Normalize columns and average rows to get the criteria weight vector.
  3. Compute \(\lambda_{max}\), Consistency Index \(CI = (\lambda_{max} - n)/(n-1)\) and Consistency Ratio \(CR = CI / RI\).
  4. For each criterion, build an alternatives matrix and repeat.
  5. Multiply criteria weights by local alternative weights to get the global priorities.

Saaty scale (1–9)

  • 1 = equal importance
  • 3 = moderate importance
  • 5 = strong importance
  • 7 = very strong importance
  • 9 = extreme importance
  • 2,4,6,8 = intermediate values
  • Reciprocals (1/3, 1/5, …) for the opposite judgement