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multi-criteria-ranking

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Strategy: multi-dimensional weighted scoring and ranking — decompose a gap into independent sub-questions, then recombine into a priority list

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Multi-Criteria Ranking

Multi-dimensional weighted scoring and ranking: decompose the composite question "which gap is better" into several independent dimensions, score each separately, then recombine into a final ranking via weighted summation.

When to Use

  • The number of gaps is between 5 and 20
  • A systematic, explainable basis for ranking is needed
  • Decision-makers need to see each dimension's score (rather than a black-box ranking)
  • You will later need to explain to others why a particular gap was chosen

Thinking Framework

Core principle: the reliability of complex judgments comes from decomposition, not holistic intuition.

Break "which gap is most worth attacking" into four independent sub-questions:

  1. Importance: once this gap is filled, how far will the field advance?
  2. Feasibility: with existing resources and methods, can it be solved within a reasonable time?
  3. Novelty: is this gap genuinely under-explored?
  4. Impact: how broad are the downstream effects after solving it?

Each dimension is scored independently (1–5) to avoid cross-contamination between dimensions. Weights are set by AHP (Analytic Hierarchy Process) or specified by the user. Final score = Σ(dimension score × dimension weight).

Sensitivity check: perturb weights by ±20%; if the ranking is unchanged the conclusion is robust; if the ranking flips it must be flagged as "weight-sensitive".

Budget Gate

TierGap countScoring dimensionsSensitivity checkFinal output
S5–8≥3 dimensionsOptionalRanking table + attack suggestions for top 2 gaps
M9–15≥4 dimensionsRequiredRanking table + attack suggestions for top 3 gaps
L16–20≥5 dimensionsRequired (multi-weight scenarios)Ranking table + attack suggestions for top 5 gaps + weight-sensitivity report

Default Reference Flow

  1. Call the gap-normalization SOP: normalize input gaps into a standard format (ID, title, one-sentence description)
  2. Call the ahp-weighting SOP: determine each dimension's weight (default: importance 0.35, feasibility 0.25, novelty 0.20, impact 0.20)
  3. Call the four scoring SOPs in parallel (importance-scoring, feasibility-scoring, novelty-scoring, impact-scoring)
  4. Call the scoring-matrix-construction tactic: aggregate into a scoring matrix
  5. Call the priority-sensitivity-testing tactic: perturb weights and check ranking robustness
  6. Call the priority-synthesis SOP: produce the final ranking + attack suggestions

context-checkpoint

After each round, record:

  • The current scoring matrix (all gaps × all dimensions)
  • The current weight vector
  • The sensitivity-check result (robust / weight-sensitive, annotating any flipped gap pairs)
  • The current top-N ranking

Available Tactics

Optional, no fixed order; the final leaf is always a sop.

TacticWhen to use
hypothesis-formation-scoring-matrix-constructionTactic: orchestrate multi-dimensional scoring SOPs to build a comprehensive assessment matrix for all gaps
priority-sensitivity-testingTactic: perturb scoring weights to test the robustness of the gap ranking against weight choice

Available SOPs

Optional, no fixed order; the final leaf is always a sop.

SOPWhen to use
gap-normalizationSOP: Unify gaps from different sources into the standard GapRecord format