Consistency Check

Consistency Check

Check the transitive consistency of a pairwise judgment matrix, identify inconsistent entries, and suggest corrections.

HARD-GATE

Pipeline

1. Precondition check: verify the matrix is square; check the diagonal and reciprocal properties; if violated, report the specific location
2. Compute judgment matrix: confirm the input matrix is valid
3. Compute consistency ratio: column normalize → row means (weight vector) → weighted-sum vector → λ_max → CI → CR (look up the Saaty RI table)
4. Identify inconsistent entries: for each triple (i, j, k), test transitivity a[i][k] ≈ a[i][j] × a[j][k]; the pair with the largest deviation is the inconsistent entry
5. Suggest corrections: for each inconsistent entry, suggest adjusting a[i][j] to the value that makes transitivity hold
6. Output: return the ConsistencyReport object

Output Format

{
  "labels": ["gap_001", "gap_002", "gap_003"],
  "n": 3,
  "lambda_max": 3.05,
  "ci": 0.025,
  "ri": 0.58,
  "cr": 0.043,
  "cr_acceptable": true,
  "inconsistent_pairs": [],
  "revision_suggestions": [],
  "matrix_issues": []
}