MCDMDecision-makingAggregationMath steps

Bonferroni Mean (BM)

OriginatorBonferroni, C.Year1950Sources1Related methods1

BONFERRONI-MEAN (Bonferroni Mean (BM)) is a aggregation multi-criteria decision-making (MCDM) method introduced by Bonferroni, C. in 1950. 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

Higher BM score indicates better aggregated performance. Captures inter-criteria interactions via p and q parameters.

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. 1.
    Bonferroni, C. (1950). Sulle medie multiple di potenze. Bollettino dell'Unione Matematica Italiana

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Cite this page

ScholarGate. (2026, June 2). BONFERRONI-MEAN. ScholarGate. https://scholargate.app/decision-making/bonferroni-mean