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Home›Decision-making›Bonferroni Mean (BM)
MCDMAggregationcrisp

Bonferroni Mean (BM)

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.

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  3. 1 Sources
  4. PUBLISHED
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BONFERRONI-MEAN
Maclaurin Symmetric Mean…

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

How to cite this page

ScholarGate. (2026, June 2). Bonferroni Mean (BM). ScholarGate. https://scholargate.app/en/decision-making/bonferroni-mean

Referenced by

Maclaurin Symmetric Mean Operator

Similar methods

HERONIAN-MEANPOWER-MEANWAMBORDAWHMTNORM-HAMACHERDIST-MINKOWSKITNORM-SCHWEIZER-SKLAR

Related reference concepts

Weighted ScoresDecision MakingDecision Support SystemsMultiple Hypothesis TestingBayesian Model AveragingScoring Formulas

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

ScholarGate — BONFERRONI-MEAN (Bonferroni Mean (BM)). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/bonferroni-mean · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Bonferroni, C.
Subfamily
Aggregation
Year
1950
Type
Interrelationship-based aggregation — captures pairwise interactions
Value Space
crisp
Uncertainty
None
Compensation
partial
Rank Reversal
No
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