AHP Calculator (Analytic Hierarchy Process)

Free AHP calculator (Analytic Hierarchy Process). Define criteria and alternatives, perform pairwise comparisons using Saaty scale, get weights, consistency ratio (CR), and global priorities. Browser-based, no upload.

Full original guide (expanded)

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

Best alternative

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

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
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Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).