| name | consistency-check |
| description | SOP: Check the transitive consistency of a pairwise judgment matrix, identify inconsistent entries, and suggest corrections |
| version | 1.0.0 |
| category | hypothesis-formation |
| type | sop |
| campaign | gap-prioritization |
| input | n×n pairwise judgment matrix (Saaty scale values) + list of dimension/gap labels |
| output | ConsistencyReport — CR value, list of inconsistent entries, and revision suggestions |
| dependencies | {"skills":["subagent-spawning"]} |
Consistency Check
Check the transitive consistency of a pairwise judgment matrix, identify inconsistent entries, and suggest corrections.
HARD-GATE
- The input matrix must be square (n×n), with n in the range [2, 9]
- The matrix must have all-ones on the diagonal and satisfy a[i][j] = 1/a[j][i] (0.001 floating-point tolerance allowed)
- CR must be computed and reported
- If CR > 0.1, the inconsistent_pairs list must not be empty
Pipeline
- Precondition check: verify the matrix is square; check the diagonal and reciprocal properties; if violated, report the specific location
- Compute judgment matrix: confirm the input matrix is valid
- Compute consistency ratio: column normalize → row means (weight vector) → weighted-sum vector → λ_max → CI → CR (look up the Saaty RI table)
- 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
- Suggest corrections: for each inconsistent entry, suggest adjusting a[i][j] to the value that makes transitivity hold
- 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,
