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Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral

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  • Meimei Xia

Abstract

To reflect the interactions among criteria, Choquet integral is employed to stochastic multicriteria acceptability analysis. Models are first given to roughly identify the best and worst ranking orders of each alternative, based on which the weight information spaces are explored to support some alternative for ranking at some position and calculate the acceptability indices of alternatives. Models are then given to analyze the characters of information spaces, which can describe what kind of information supports alternatives for ranking at some position and can give an analysis about the effect of characters on the decision result. The proposed method considers not only the interactions between two criteria, but also the interactions among three, four, and more criteria. The proposed method can be considered as an extension of the existing ones.

Suggested Citation

  • Meimei Xia, 2015. "Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:315340
    DOI: 10.1155/2015/315340
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    References listed on IDEAS

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    2. Anandalingam, G. & Olsson, C. E., 1989. "A multi-stage multi-attribute decision model for project selection," European Journal of Operational Research, Elsevier, vol. 43(3), pages 271-283, December.
    3. Risto Lahdelma & Pekka Salminen, 2001. "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making," Operations Research, INFORMS, vol. 49(3), pages 444-454, June.
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