Logarithm Methodology of Additive Weights
LMAW (Logarithm Methodology of Additive Weights) is a ranking multi-criteria decision-making (MCDM) method introduced by Pamučar, D., Žižović, M., Biswas, S., Božanić, D. in 2021. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
Q_i ∈ [0, n] where n = number of criteria. Higher Q means better alternative. Q_i is the sum over criteria of the sigmoid-weighted ξ_ij ∈ (0, 2). Direction is handled in F1 via Pamucar 2021 Eq.(2): benefit standardisation (x+max)/max, cost standardisation (x+min)/x — both produce ϑ_ij > 1 with best alternative receiving largest ϑ. F1 → F2 (log-norm) → F3 (sigmoid weighting) → F4 (sum) is the canonical pipeline.
Strengths & limitations
- 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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Pamučar, D., Žižović, M., Biswas, S., Božanić, D. (2021). A new logarithm methodology of additive weights (LMAW) for multi-criteria decision-making: Application in logistics. Facta Universitatis, Series: Mechanical Engineering DOI: 10.22190/FUME210214031P ↗
How to cite this page
ScholarGate. (2026, June 2). Logarithm Methodology of Additive Weights. ScholarGate. https://scholargate.app/en/decision-making/lmaw
Which method?
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