MCDMAggregationcrisp
Weighted Power Mean (Hölder Mean)
POWER-MEAN (Weighted Power Mean (Hölder Mean)) is a aggregation multi-criteria decision-making (MCDM) method introduced by Hardy, G. H. Littlewood, J. E. Pólya, G. in 1934. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
Behaviour depends on r: r→-∞ (min), r=1 (AM), r=2 (QM), r→+∞ (max). Higher score is better for positive criteria.
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
- Hardy, G. H., Littlewood, J. E., Pólya, G. (1934). Inequalities. Cambridge University Press ISBN: 978-0-521-35880-4
How to cite this page
ScholarGate. (2026, June 2). Weighted Power Mean (Hölder Mean). ScholarGate. https://scholargate.app/en/decision-making/power-mean