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Fuzzy Data Envelopment Analysis in Composite Indicator Construction

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Performance Measurement with Fuzzy Data Envelopment Analysis

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 309))

Abstract

Data envelopment analysis (DEA) as a performance evaluation methodology has lately received considerable attention in the construction of composite indicators (CIs) due to its prominent advantages over other traditional methods. In this chapter, we present the extension of the basic DEA-based CI model by incorporating fuzzy ranking approach for modeling qualitative data. By interpreting the qualitative indicator data as fuzzy numerical values, a fuzzy DEA-based CI model is developed, and it is applied to construct a composite alcohol performance indicator for road safety evaluation of a set of European countries. Comparisons of the results with the ones from the imprecise DEA-based CI model show the effectiveness of the proposed model in capturing the uncertainties associated with human thinking, and further imply the reliability of using this approach for modeling both quantitative and qualitative data in the context of CI construction.

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Notes

  1. 1.

    \( \sum\limits_{r = 1}^{s} {u_{r} \left( {y_{lrj} - a_{rj} L^{*} (h)} \right)} \le 1 \) is always satisfied when \( \sum\limits_{r = 1}^{s} {u_{r} \left( {y_{urj} + b_{rj} R^{*} (h)} \right)} < 1 \).

  2. 2.

    Missing data are imputed by using Multiple Imputation in SPSS 20.0 [30].

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Authors and Affiliations

  1. Transportation Research Institute (IMOB), Hasselt University, Wetenschapspark 5 bus 6, 3590, Diepenbeek, Belgium

    Yongjun Shen, Elke Hermans, Tom Brijs & Geert Wets

Authors
  1. Yongjun Shen
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  2. Elke Hermans
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  3. Tom Brijs
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  4. Geert Wets
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Corresponding author

Correspondence to Yongjun Shen .

Editor information

Editors and Affiliations

  1. Operations and Information Management Group, Aston Business School, Aston University, Birmingham, United Kingdom

    Ali Emrouznejad

  2. Business Systems and Analytics Department, La Salle University, Philadelphia, Pennsylvania, USA

    Madjid Tavana

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Shen, Y., Hermans, E., Brijs, T., Wets, G. (2014). Fuzzy Data Envelopment Analysis in Composite Indicator Construction. In: Emrouznejad, A., Tavana, M. (eds) Performance Measurement with Fuzzy Data Envelopment Analysis. Studies in Fuzziness and Soft Computing, vol 309. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41372-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-41372-8_4

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  • Online ISBN: 978-3-642-41372-8

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