Stochastic Multiobjective Acceptability Analysis
SMAA (Stochastic Multiobjective Acceptability Analysis) is a ranking multi-criteria decision-making (MCDM) method introduced by Lahdelma, R., Hokkanen, J., Salminen, P. in 1998. 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
smaa extends SMAA to handle Stochastic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Stochastic element (distribution or scenario probabilities) algebra. The final scores are defuzzified via expected value E[x] = Σ p_k x_k before ranking.
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.
Common pitfalls
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Sources
- 1.Lahdelma, R., Hokkanen, J., Salminen, P. (1998). SMAA — Stochastic multiobjective acceptability analysis. European Journal of Operational Research
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ScholarGate. (2026, June 2). SMAA. ScholarGate. https://scholargate.app/decision-making/smaa