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Home›Decision-making›Weighted Geometric Mean
MCDMAggregationcrisp

Weighted Geometric Mean

WGM (Weighted Geometric Mean) is a aggregation multi-criteria decision-making (MCDM) method introduced by Aczél, J. Saaty, T. L. in 1983. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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When to use it

Higher WGM score indicates better aggregated performance. Sensitive to zero values — undefined if any entry is zero.

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. Aczél, J., Saaty, T. L. (1983). Procedures for synthesizing ratio judgements. Journal of Mathematical Psychology DOI: 10.1016/0022-2496(83)90028-7 ↗

How to cite this page

ScholarGate. (2026, June 2). Weighted Geometric Mean. ScholarGate. https://scholargate.app/en/decision-making/wgm

Similar methods

WAMWHMWSMAHPBWMBONFERRONI-MEANWPMPOWER-MEAN

Related reference concepts

Weighted ScoresDecision MakingDecision Support SystemsEvaluation CriteriaScoring FormulasParticipative Decision Making

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

ScholarGate — WGM (Weighted Geometric Mean). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/wgm · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Aczél, J. Saaty, T. L.
Subfamily
Aggregation
Year
1983
Type
Mean-based aggregation operator — multiplicative
Value Space
crisp
Uncertainty
None
Compensation
partial
Rank Reversal
No
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