IDEAS home Printed from https://ideas.repec.org/a/spr/soinre/v139y2018i3d10.1007_s11205-017-1765-3.html
   My bibliography  Save this article

Using Ranked Weights and Acceptability Analysis to Construct Composite Indicators: A Case Study of Regional Sustainable Society Index

Author

Listed:
  • Yang Ding

    (Xi’an Jiaotong University
    Shaanxi TV and Radio University)

  • Yelin Fu

    (The University of Hong Kong)

  • Kin Keung Lai

    (Xidian University)

  • W. K. John Leung

    (City University of Hong Kong)

Abstract

A variety of published composite indicators, i.e., Energy Trilemma Index and Sustainable Society Index, are commonly aggregated with equal weights. However, this plausible scheme is criticized as eclecticism and ignores the discriminating power of the different indicators. Differing from the traditional methods that assign weights to each indicator for the purpose of aggregation, this paper proposes a new mechanism to construct composite indicators using ranked weights and stochastic multicriteria acceptability analysis. More specifically, this study comprehensively consider all possible preferences among the indicators. Under each preference, we develop a sophisticated mathematical transformation to calculate the least and most favorable scores of each entity, which formulates the lower and upper bounds of the intervals. Then an interval decision matrix, alternatively described as a stochastic decision problem, is formulated to construct the composite indicators. Holistic acceptability indices are generated and regarded as a new composite indicator, which is capable of providing a comprehensive and robust composite indicator with more discriminating power. We apply the proposed method to modify the regional sustainable society index and present the obtained results and comparisons.

Suggested Citation

  • Yang Ding & Yelin Fu & Kin Keung Lai & W. K. John Leung, 2018. "Using Ranked Weights and Acceptability Analysis to Construct Composite Indicators: A Case Study of Regional Sustainable Society Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 871-885, October.
  • Handle: RePEc:spr:soinre:v:139:y:2018:i:3:d:10.1007_s11205-017-1765-3
    DOI: 10.1007/s11205-017-1765-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11205-017-1765-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11205-017-1765-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Luzzati, T. & Gucciardi, G., 2015. "A non-simplistic approach to composite indicators and rankings: an illustration by comparing the sustainability of the EU Countries," Ecological Economics, Elsevier, vol. 113(C), pages 25-38.
    2. Isabel Gallego-Álvarez & Mª Galindo-Villardón & Miguel Rodríguez-Rosa, 2015. "Analysis of the Sustainable Society Index Worldwide: A Study from the Biplot Perspective," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 120(1), pages 29-65, January.
    3. Grupp, Hariolf & Schubert, Torben, 2010. "Review and new evidence on composite innovation indicators for evaluating national performance," Research Policy, Elsevier, vol. 39(1), pages 67-78, February.
    4. Zanella, Andreia & Camanho, Ana S. & Dias, Teresa G., 2015. "Undesirable outputs and weighting schemes in composite indicators based on data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 245(2), pages 517-530.
    5. Yang, Feng & Ang, Sheng & Xia, Qiong & Yang, Chenchen, 2012. "Ranking DMUs by using interval DEA cross efficiency matrix with acceptability analysis," European Journal of Operational Research, Elsevier, vol. 223(2), pages 483-488.
    6. Craig W. Kirkwood & Rakesh K. Sarin, 1985. "Ranking with Partial Information: A Method and an Application," Operations Research, INFORMS, vol. 33(1), pages 38-48, February.
    7. 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.
    8. 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.
    9. 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.
    10. Badea, Anca Costescu & Rocco S., Claudio M. & Tarantola, Stefano & Bolado, Ricardo, 2011. "Composite indicators for security of energy supply using ordered weighted averaging," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 651-662.
    11. Dobos, Imre & Vörösmarty, Gyöngyi, 2014. "Green supplier selection and evaluation using DEA-type composite indicators," International Journal of Production Economics, Elsevier, vol. 157(C), pages 273-278.
    12. Floridi, Matteo & Pagni, Simone & Falorni, Simone & Luzzati, Tommaso, 2011. "An exercise in composite indicators construction: Assessing the sustainability of Italian regions," Ecological Economics, Elsevier, vol. 70(8), pages 1440-1447, June.
    13. Lahdelma, Risto & Hokkanen, Joonas & Salminen, Pekka, 1998. "SMAA - Stochastic multiobjective acceptability analysis," European Journal of Operational Research, Elsevier, vol. 106(1), pages 137-143, April.
    14. Tommi Tervonen, 2014. "JSMAA: open source software for SMAA computations," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(1), pages 69-81.
    15. 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.
    16. Van de Kerk, Geurt & Manuel, Arthur R., 2008. "A comprehensive index for a sustainable society: The SSI -- the Sustainable Society Index," Ecological Economics, Elsevier, vol. 66(2-3), pages 228-242, June.
    17. Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
    18. M. Benito & R. Romera, 2011. "Improving quality assessment of composite indicators in university rankings: a case study of French and German universities of excellence," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 153-176, October.
    19. Bryony Hoskins & Massimiliano Mascherini, 2009. "Measuring Active Citizenship through the Development of a Composite Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 90(3), pages 459-488, February.
    20. Benito Bonito, Mónica & Romera Ayllón, María Rosario, 2011. "Improving quality assessment of composite indicators in university rankings: a case study of French and German universities of excellence," DES - Working Papers. Statistics and Econometrics. WS ws112015, Universidad Carlos III de Madrid. Departamento de Estadística.
    21. Jorge Guardiola & Andrés Picazo-Tadeo, 2014. "Building Weighted-Domain Composite Indices of Life Satisfaction with Data Envelopment Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 117(1), pages 257-274, May.
    22. 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.
    23. 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.
    24. Yongjun Shen & Elke Hermans & Tom Brijs & Geert Wets, 2013. "Data Envelopment Analysis for Composite Indicators: A Multiple Layer Model," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 114(2), pages 739-756, November.
    25. 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.
    26. Santeramo, Fabio Gaetano, 2014. "On the composite indicators for food security: Decisions matter!," MPRA Paper 58955, University Library of Munich, Germany.
    27. Gómez-Limón, José A. & Sanchez-Fernandez, Gabriela, 2010. "Empirical evaluation of agricultural sustainability using composite indicators," Ecological Economics, Elsevier, vol. 69(5), pages 1062-1075, March.
    28. Tigran Melkonyan & Zvi Safra, 2016. "Intrinsic Variability in Group and Individual Decision Making," Management Science, INFORMS, vol. 62(9), pages 2651-2667, September.
    29. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    30. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Elisabete Nogueira & Sofia Gomes & João M. Lopes, 2022. "The Key to Sustainable Economic Development: A Triple Bottom Line Approach," Resources, MDPI, vol. 11(5), pages 1-18, May.
    2. 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.
    3. Patrícia Bernardes & Petr Iakovlevitch Ekel & Sérgio Fernando Loureiro Rezende & Joel Gomes Pereira Júnior & Angélica Cidália Gouveia Santos & Maurício Andrade Rodrigues Costa & Rafael Lopes Carvalhai, 2022. "Cost of doing business index in Latin America," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(4), pages 2233-2252, August.
    4. Tianjiao Wang & Yelin Fu, 2020. "Constructing Composite Indicators with Individual Judgements and Best–Worst Method: An Illustration of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(1), pages 1-14, May.
    5. Francisco Guijarro, 2019. "A Multicriteria Model for the Assessment of Countries’ Environmental Performance," IJERPH, MDPI, vol. 16(16), pages 1-15, August.

    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. 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.
    2. Tianjiao Wang & Yelin Fu, 2020. "Constructing Composite Indicators with Individual Judgements and Best–Worst Method: An Illustration of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(1), pages 1-14, May.
    3. 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.
    4. Cheng Peng & Xunbo Wu & Yelin Fu & Kin Keung Lai, 2017. "Alternative approaches to constructing composite indicators: an application to construct a Sustainable Energy Index for APEC economies," Operational Research, Springer, vol. 17(3), pages 747-759, October.
    5. Giménez, Víctor & Thieme, Claudio & Prior, Diego & Tortosa-Ausina, Emili, 2022. "Evaluation and determinants of preschool effectiveness in Chile," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    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. Song, Lianlian & Fu, Yelin & Zhou, Peng & Lai, Kin Keung, 2017. "Measuring national energy performance via Energy Trilemma Index: A Stochastic Multicriteria Acceptability Analysis," Energy Economics, Elsevier, vol. 66(C), pages 313-319.
    8. Lozano-Oyola, Macarena & Contreras, Ignacio & Blancas, Francisco Javier, 2019. "An Operational Non-compensatory Composite Indicator: Measuring Sustainable Tourism in Andalusian Urban Destinations," Ecological Economics, Elsevier, vol. 159(C), pages 1-10.
    9. 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.
    10. Zhou, P. & Wang, M., 2016. "Carbon dioxide emissions allocation: A review," Ecological Economics, Elsevier, vol. 125(C), pages 47-59.
    11. R. Pelissari & M. C. Oliveira & S. Ben Amor & A. Kandakoglu & A. L. Helleno, 2020. "SMAA methods and their applications: a literature review and future research directions," Annals of Operations Research, Springer, vol. 293(2), pages 433-493, October.
    12. Fu, Yelin & Lai, Kin Keung & Yu, Lean, 2021. "Multi-nation comparisons of energy architecture performance: A group decision-making method with preference structure and acceptability analysis," Energy Economics, Elsevier, vol. 96(C).
    13. Giuliano Resce & Fritz Schiltz, 2021. "Sustainable Development in Europe: A Multicriteria Decision Analysis," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(2), pages 509-529, June.
    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, 2012. "Building an Enlarged Human Development Indicator: Europe and the Southern Mediterranean Basin," Working Papers 1203, Department of Applied Economics II, Universidad de Valencia.
    16. 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.
    17. 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.
    18. Greco, Salvatore & Ishizaka, Alessio & Resce, Giuliano & Torrisi, Gianpiero, 2017. "Is the Grass Always Greener on the Other Side of the fence? Composite Index of Well-Being Taking into Account the Local Relative Appreciations in Better Life Index," MPRA Paper 82718, University Library of Munich, Germany.
    19. 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.
    20. Yu Yu & Weiwei Zhu & Qian Zhang, 2019. "DEA cross-efficiency evaluation and ranking method based on interval data," Annals of Operations Research, Springer, vol. 278(1), pages 159-175, 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:spr:soinre:v:139:y:2018:i:3:d:10.1007_s11205-017-1765-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.