MCDMDecision-makingAggregationMath steps
Weighted Harmonic Mean
WHM (Weighted Harmonic Mean) is a aggregation multi-criteria decision-making (MCDM) method introduced by Bullen, P. S. Mitrinović, D. S. Vasić, P. M. in 1988. 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 WHM score indicates better aggregated performance. Penalises low values more harshly than AM.
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.Bullen, P. S., Mitrinović, D. S., Vasić, P. M. (1988). Means and Their Inequalities. D. Reidel Publishing (Springer)
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Cite this page
ScholarGate. (2026, June 2). WHM. ScholarGate. https://scholargate.app/decision-making/whm