IDEAS home Printed from https://ideas.repec.org/a/eee/ecolec/v70y2010i1p114-120.html
   My bibliography  Save this article

A common weight MCDA-DEA approach to construct composite indicators

Author

Listed:
  • Hatefi, S.M.
  • Torabi, S.A.

Abstract

A common weight multi criteria decision analysis (MCDA)-data envelopment analysis (DEA) approach is proposed to construct composite indicators (CIs). The proposed MCDA-DEA model enables the construction of CIs among all entities via a set of common weights. The model is capable to discriminate entities which receive CI score of 1, i.e., the efficient entities leading to determination of a single best entity. Common weights structure of the proposed model has more discriminating power when compared to those obtained by previous DEA-like models. In order to validate the proposed MCDA-DEA model, it is applied to two case studies taken from the literature to construct two well-known CIs, i.e., Sustainable Energy Index (SEI) and Human Development Index (HDI). Both the robustness and discriminating power of the proposed method are studied through these case studies and tested by Spearman's rank correlation coefficient. The results reveal several merits of the proposed method in constructing CIs.

Suggested Citation

  • Hatefi, S.M. & Torabi, S.A., 2010. "A common weight MCDA-DEA approach to construct composite indicators," Ecological Economics, Elsevier, vol. 70(1), pages 114-120, November.
  • Handle: RePEc:eee:ecolec:v:70:y:2010:i:1:p:114-120
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0921-8009(10)00338-1
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Xiao-Bai & Reeves, Gary R., 1999. "A multiple criteria approach to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 507-517, June.
    2. Zhou, Peng & Poh, Kim Leng & Ang, Beng Wah, 2007. "A non-radial DEA approach to measuring environmental performance," European Journal of Operational Research, Elsevier, vol. 178(1), pages 1-9, April.
    3. Kuosmanen, Timo & Cherchye, Laurens & Sipilainen, Timo, 2006. "The law of one price in data envelopment analysis: Restricting weight flexibility across firms," European Journal of Operational Research, Elsevier, vol. 170(3), pages 735-757, May.
    4. Zhou, P. & Ang, B.W. & Poh, K.L., 2006. "Comparing aggregating methods for constructing the composite environmental index: An objective measure," Ecological Economics, Elsevier, vol. 59(3), pages 305-311, September.
    5. Ebert, Udo & Welsch, Heinz, 2004. "Meaningful environmental indices: a social choice approach," Journal of Environmental Economics and Management, Elsevier, vol. 47(2), pages 270-283, March.
    6. Diaz-Balteiro, Luis & Romero, Carlos, 2004. "In search of a natural systems sustainability index," Ecological Economics, Elsevier, vol. 49(3), pages 401-405, July.
    7. Michela Nardo & Michaela Saisana & Andrea Saltelli & Stefano Tarantola & Anders Hoffman & Enrico Giovannini, 2005. "Handbook on Constructing Composite Indicators: Methodology and User Guide," OECD Statistics Working Papers 2005/3, OECD Publishing.
    8. Giuseppe Munda, 2005. "“Measuring Sustainability”: A Multi-Criterion Framework," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 7(1), pages 117-134, January.
    9. Roll, Y & Golany, B., 1993. "Alternate methods of treating factor weights in DEA," Omega, Elsevier, vol. 21(1), pages 99-109, January.
    10. P. Zhou & B. Ang & D. Zhou, 2010. "Weighting and Aggregation in Composite Indicator Construction: a Multiplicative Optimization Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 96(1), pages 169-181, March.
    11. Ramanathan, Ramakrishnan & Yunfeng, Jiang, 2009. "Incorporating cost and environmental factors in quality function deployment using data envelopment analysis," Omega, Elsevier, vol. 37(3), pages 711-723, June.
    12. Laurens Cherchye & Willem Moesen & Nicky Rogge & Tom Puyenbroeck, 2007. "An Introduction to ‘Benefit of the Doubt’ Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 82(1), pages 111-145, May.
    13. Despotis, D.K., 2005. "Measuring human development via data envelopment analysis: the case of Asia and the Pacific," Omega, Elsevier, vol. 33(5), pages 385-390, October.
    14. Jefferson, Michael, 2006. "Sustainable energy development: performance and prospects," Renewable Energy, Elsevier, vol. 31(5), pages 571-582.
    15. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    16. Laurens Cherchye & Erwin Ooghe & Tom Puyenbroeck, 2008. "Robust human development rankings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(4), pages 287-321, December.
    17. M. Saisana & A. Saltelli & S. Tarantola, 2005. "Uncertainty and sensitivity analysis techniques as tools for the quality assessment of composite indicators," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 307-323.
    18. Kao, Chiang & Hung, Hsi-Tai, 2008. "Efficiency analysis of university departments: An empirical study," Omega, Elsevier, vol. 36(4), pages 653-664, August.
    19. Zhou, P. & Ang, B.W. & Poh, K.L., 2007. "A mathematical programming approach to constructing composite indicators," Ecological Economics, Elsevier, vol. 62(2), pages 291-297, April.
    20. Ulucan, AydIn & BarIs AtIcI, KazIm, 2010. "Efficiency evaluations with context-dependent and measure-specific data envelopment approaches: An application in a World Bank supported project," Omega, Elsevier, vol. 38(1-2), pages 68-83, February.
    21. Kao, Chiang, 2010. "Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization," Omega, Elsevier, vol. 38(6), pages 484-491, December.
    22. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    23. Sagar, Ambuj D. & Najam, Adil, 1998. "The human development index: a critical review," Ecological Economics, Elsevier, vol. 25(3), pages 249-264, June.
    24. Krajnc, Damjan & Glavic, Peter, 2005. "How to compare companies on relevant dimensions of sustainability," Ecological Economics, Elsevier, vol. 55(4), pages 551-563, December.
    25. Laurens Cherchye & & Timo Kuosmanen, 2002. "Benchmarking Sustainable Development: A Synthetic Meta-index Approach," Others 0210001, EconWPA, revised 04 Dec 2002.
    26. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    27. Hajkowicz, Stefan, 2006. "Multi-attributed environmental index construction," Ecological Economics, Elsevier, vol. 57(1), pages 122-139, April.
    28. Hope, Chris & Parker, Jonathan & Peake, Stephen, 1992. "A pilot environmental index for the UK in the 1980s," Energy Policy, Elsevier, vol. 20(4), pages 335-343, April.
    Full references (including those not matched with items on IDEAS)

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolec:v:70:y:2010:i:1:p:114-120. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/ecolecon .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.