Stochastic multicriteria acceptability analysis

Stochastic Multicriteria Acceptability Analysis (SMAA) is a multiple-criteria decision analysis method for problems with incomplete information. This means that criteria and preference information can be uncertain, inaccurate or partially missing. Incomplete information is represented in SMAA using suitable probability distributions. The method is based on stochastic simulation by drawing random values for criteria measurements and weights from their corresponding distributions.[1]

SMAA can handle mixed cardinal and ordinal information. Ordinal information is treated by a special joint distribution that preserves the ordinal information.[2]

A survey on different variants and applications of SMAA can be found in this article.[3]

Open source implementations of SMAA can be found here.[4]

References

  1. Lahdelma, R.; Salminen, P. (2001). "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making". Operations Research. 49 (3): 444–454. doi:10.1287/opre.49.3.444.11220.
  2. Sousa R., Yevseyeva I., Pinto da Costa J.F., Cardoso J.S. (2013). Multicriteria models for learning ordinal data: A literature review. In Yang X.S. Artificial Intelligence, Evolutionary Computing and Metaheuristics: In the Footsteps of Alan Turing. Studies in Computational Intelligence 427, Springer.
  3. Tervonen, T.; Figueira, J. (2008). "A survey on stochastic multicriteria acceptability analysis methods". Journal of Multi-Criteria Decision Analysis. 15 (1-2): 1–14. doi:10.1002/mcda.407.
  4. http://smaa.fi/
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