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. 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.
    2. Diaz-Balteiro, Luis & Romero, Carlos, 2004. "In search of a natural systems sustainability index," Ecological Economics, Elsevier, vol. 49(3), pages 401-405, July.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Jefferson, Michael, 2006. "Sustainable energy development: performance and prospects," Renewable Energy, Elsevier, vol. 31(5), pages 571-582.
    8. Kao, Chiang & Hung, Hsi-Tai, 2008. "Efficiency analysis of university departments: An empirical study," Omega, Elsevier, vol. 36(4), pages 653-664, August.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Laurens Cherchye & & Timo Kuosmanen, 2002. "Benchmarking Sustainable Development: A Synthetic Meta-index Approach," Others 0210001, University Library of Munich, Germany, revised 04 Dec 2002.
    14. L Cherchye & W Moesen & N Rogge & T Van Puyenbroeck & M Saisana & A Saltelli & R Liska & S Tarantola, 2008. "Creating composite indicators with DEA and robustness analysis: the case of the Technology Achievement Index," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(2), pages 239-251, February.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Roll, Y & Golany, B., 1993. "Alternate methods of treating factor weights in DEA," Omega, Elsevier, vol. 21(1), pages 99-109, January.
    22. 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.
    23. 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.
    24. 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.
    25. 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, March.
    26. 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.
    27. Sagar, Ambuj D. & Najam, Adil, 1998. "The human development index: a critical review," Ecological Economics, Elsevier, vol. 25(3), pages 249-264, June.
    28. Krajnc, Damjan & Glavic, Peter, 2005. "How to compare companies on relevant dimensions of sustainability," Ecological Economics, Elsevier, vol. 55(4), pages 551-563, December.
    29. D K Despotis, 2005. "A reassessment of the human development index via data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 969-980, August.
    30. Hajkowicz, Stefan, 2006. "Multi-attributed environmental index construction," Ecological Economics, Elsevier, vol. 57(1), pages 122-139, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Salvatore Greco & Alessio Ishizaka & Menelaos Tasiou & Gianpiero Torrisi, 2019. "On the Methodological Framework of Composite Indices: A Review of the Issues of Weighting, Aggregation, and Robustness," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 61-94, January.
    3. P. Zhou & B. Ang, 2009. "Comparing MCDA Aggregation Methods in Constructing Composite Indicators Using the Shannon-Spearman Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 94(1), pages 83-96, October.
    4. 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.
    5. Ju, Keyi & Su, Bin & Zhou, Dequn & Zhou, P. & Zhang, Yuqiang, 2015. "Oil price crisis response: Capability assessment and key indicator identification," Energy, Elsevier, vol. 93(P2), pages 1353-1360.
    6. Milica Maricic & Jose A. Egea & Veljko Jeremic, 2019. "A Hybrid Enhanced Scatter Search—Composite I-Distance Indicator (eSS-CIDI) Optimization Approach for Determining Weights Within Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(2), pages 497-537, July.
    7. Samira El Gibari & Trinidad Gómez & Francisco Ruiz, 2019. "Building composite indicators using multicriteria methods: a review," Journal of Business Economics, Springer, vol. 89(1), pages 1-24, February.
    8. Rogge, Nicky, 2018. "Composite indicators as generalized benefit-of-the-doubt weighted averages," European Journal of Operational Research, Elsevier, vol. 267(1), pages 381-392.
    9. Ernest Reig, 2012. "Building an Enlarged Human Development Indicator: Europe and the Southern Mediterranean Basin," Working Papers 1203, Department of Applied Economics II, Universidad de Valencia.
    10. Oliveira, Renata & Zanella, Andreia & Camanho, Ana S., 2019. "The assessment of corporate social responsibility: The construction of an industry ranking and identification of potential for improvement," European Journal of Operational Research, Elsevier, vol. 278(2), pages 498-513.
    11. Riccardo Natoli & Segu Zuhair, 2011. "Measuring Progress: A Comparison of the GDP, HDI, GS and the RIE," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 103(1), pages 33-56, August.
    12. Lampe, Hannes W. & Hilgers, Dennis, 2015. "Trajectories of efficiency measurement: A bibliometric analysis of DEA and SFA," European Journal of Operational Research, Elsevier, vol. 240(1), pages 1-21.
    13. Van Puyenbroeck, Tom & Rogge, Nicky, 2017. "Geometric mean quantity index numbers with Benefit-of-the-Doubt weights," European Journal of Operational Research, Elsevier, vol. 256(3), pages 1004-1014.
    14. Annalina Sarra & Eugenia Nissi, 2020. "A Spatial Composite Indicator for Human and Ecosystem Well-Being in the Italian Urban Areas," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(2), pages 353-377, April.
    15. Ernest Reig-Martínez, 2013. "Social and Economic Wellbeing in Europe and the Mediterranean Basin: Building an Enlarged Human Development Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 111(2), pages 527-547, April.
    16. Susanna Sironen & Jyri Seppälä & Pekka Leskinen, 2015. "Towards more non-compensatory sustainable society index," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 17(3), pages 587-621, June.
    17. Yelin Fu & Kong Xiangtianrui & Hao Luo & Lean Yu, 2020. "Constructing Composite Indicators with Collective Choice and Interval-Valued TOPSIS: The Case of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 152(1), pages 117-135, November.
    18. Laurens CHERCHYE & Willem MOESEN & Nicky ROGGE & Tom VAN PUYENBROECK, 2009. "Constructing a knowledge economy composite indicator with imprecise data," Working Papers of Department of Economics, Leuven ces09.15, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    19. Nicky Rogge & Ilse Nijverseel, 2019. "Quality of Life in the European Union: A Multidimensional Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(2), pages 765-789, January.
    20. Mónica Domínguez-Serrano & Francisco Blancas, 2011. "A Gender Wellbeing Composite Indicator: The Best-Worst Global Evaluation Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 102(3), pages 477-496, July.

    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.

    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 bibliographic 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.

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

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.