MCDMDecision-makingAggregationOperatorMath steps
Borda Count — Positional scoring rule for rank aggregation
BORDA (Borda Count — Positional scoring rule for rank aggregation) is a aggregationoperator multi-criteria decision-making (MCDM) method introduced by Borda, J.-C. de in 1900. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
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How it works
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When to use it
B_i ∈ [0, m−1]. Higher B_i means the alternative is ranked near the top by more criteria/voters. In a symmetric example all alternatives tie; real problems break ties. Weighted Borda allows differential criterion importance.
Strengths & limitations
Strengths
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
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Sources
- 1.Borda, J.-C. de (1900). Mémoire sur les Élections au Scrutin. Histoire de l'Académie Royale des Sciences, Paris
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Cite this page
ScholarGate. (2026, June 2). BORDA. ScholarGate. https://scholargate.app/decision-making/borda