MCDMDecision-makingAggregationMath steps
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.
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 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
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Cite this page
ScholarGate. (2026, June 2). WGM. ScholarGate. https://scholargate.app/decision-making/wgm