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Home›Decision-making›Borda Count — Positional scoring rule for rank aggregation
MCDMAggregationOperatorcrisp

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.

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  3. 1 Sources
  4. PUBLISHED
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BORDA
AVERAGE-RANKINGBRAUERS-DOMINANCECOOK-SEIFORDMEDIAN-RANKINGNANSON

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.

Sources

  1. Borda, J.-C. de (1900). Mémoire sur les Élections au Scrutin. Histoire de l'Académie Royale des Sciences, Paris link ↗

How to cite this page

ScholarGate. (2026, June 2). Borda Count — Positional scoring rule for rank aggregation. ScholarGate. https://scholargate.app/en/decision-making/borda

Referenced by

AVERAGE-RANKINGBRAUERS-DOMINANCECOOK-SEIFORDMEDIAN-RANKINGNANSON

Similar methods

CONDORCETWEIGHTED-VOTINGCOPELANDSCHULZEKEMENY-YOUNGBONFERRONI-MEANTOPSISAHP

Related reference concepts

Weighted ScoresDecision MakingScoring FormulasDecision Support SystemsMultidimensional ScalingParticipative Decision Making

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — BORDA (Borda Count — Positional scoring rule for rank aggregation). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/borda · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Borda, J.-C. de
Subfamily
AggregationOperator
Year
1900
Type
Rank aggregation (positional voting)
Value Space
crisp
Uncertainty
None
Compensation
N/A
Rank Reversal
No
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