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Stochastic Multicriteria Acceptability Analysis Using the Data Envelopment Model

Risto Lahdelma, Pekka Salminen, Stochastic Multicriteria Acceptability Analysis Using the Data Envelopment Model. European Journal of Operational Research 170(1), 241–252, 2006.

Abstract:

Data Envelopment Analysis (DEA) and Stochastic Multicriteria Acceptability Analysis (SMAA-2) are methods for evaluating alternatives based on multiple criteria. While DEA is mainly an ex-post tool used for classifying alternatives into efficient and inefficient ones, SMAA-2 is an ex-ante tool for supporting multiple criteria decision making. Both methods use a kind of value function where the importance of criteria is modeled using weights. Unlike many other methods, neither DEA nor SMAA-2 requires decision-makers' weights as input. Instead, these so-called non-parametric methods explore the weight space in order to identify weights favorable for each alternative. This paper introduces the SMAA-D method, which is a combination of DEA and SMAA-2. SMAA-D can be characterized as an extension of DEA to handle uncertain or imprecise data to provide stochastic efficiency measures. Alternatively, the combined method can be seen as a variant of SMAA-2 with a DEA-type value function.

BibTeX entry:

@ARTICLE{jLaSa06b,
  title = {Stochastic Multicriteria Acceptability Analysis Using the Data Envelopment Model},
  author = {Lahdelma, Risto and Salminen, Pekka},
  journal = {European Journal of Operational Research},
  volume = {170},
  number = {1},
  publisher = {Elsevier},
  pages = {241–252},
  year = {2006},
  keywords = {data envelopment analysis, multicriteria analysis, stochastic efficiency, acceptability analysis},
}

Belongs to TUCS Research Unit(s): Algorithmics and Computational Intelligence Group (ACI)

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