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A benefit-of-the-doubt model with reverse indicators

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  • Färe, Rolf
  • Karagiannis, Giannis
  • Hasannasab, Maryam
  • Margaritis, Dimitris

Abstract

Recognizing the popularity of healthier food options, we reformulate the diet problem as a linear optimization program with desirable and undesirable food nutrients. We then show how the dual formulation of this diet problem is equivalent to a new Benefit-of-the-Doubt (BoD) model with forward and reverse indicators and with a wide range of applications in the construction of composite indicators. As an illustration, we use the BoD model to construct a composite index of public health for 180 countries.

Suggested Citation

  • Färe, Rolf & Karagiannis, Giannis & Hasannasab, Maryam & Margaritis, Dimitris, 2019. "A benefit-of-the-doubt model with reverse indicators," European Journal of Operational Research, Elsevier, vol. 278(2), pages 394-400.
    • Handle: RePEc:eee:ejores:v:278:y:2019:i:2:p:394-400
    DOI: 10.1016/j.ejor.2019.02.009
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    Cited by:

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    2. Pereira, Miguel Alves & Camanho, Ana Santos & Marques, Rui Cunha & Figueira, José Rui, 2021. "The convergence of the World Health Organization Member States regarding the United Nations’ Sustainable Development Goal ‘Good health and well-being’," Omega, Elsevier, vol. 104(C).
    3. Vidoli, F.; & Fusco, E.; & Pignataro, G.; & Guccio, C.;, 2023. "Multi-directional Robust Benefit of the Doubt model: a comprehensive measure for the quality of health care in OECD countries," Health, Econometrics and Data Group (HEDG) Working Papers 23/14, HEDG, c/o Department of Economics, University of York.
    4. Zhiying Zhang & Huchang Liao, 2024. "A stochastic cross-efficiency DEA approach based on the prospect theory and its application in winner determination in public procurement tenders," Annals of Operations Research, Springer, vol. 341(1), pages 509-537, October.
    5. Chao Shi & Kenneth C. Land, 2021. "The Data Envelopment Analysis and Equal Weights/Minimax Methods of Composite Social Indicator Construction: a Methodological Study of Data Sensitivity and Robustness," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 16(4), pages 1689-1716, August.
    6. Karagiannis, Giannis & Ravanos, Panagiotis, 2023. "A composite indicator of social inclusion for EU based on the inverted BoD model," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    7. Liu, Yang & Dong, Kangyin & Jiang, Qingzhe, 2023. "Assessing energy vulnerability and its impact on carbon emissions: A global case," Energy Economics, Elsevier, vol. 119(C).
    8. Pereira, Miguel Alves & Marques, Rui Cunha, 2022. "The ‘Sustainable Public Health Index’: What if public health and sustainable development are compatible?," World Development, Elsevier, vol. 149(C).
    9. Pereira, Miguel Alves & Camanho, Ana Santos & Figueira, José Rui & Marques, Rui Cunha, 2021. "Incorporating preference information in a range directional composite indicator: The case of Portuguese public hospitals," European Journal of Operational Research, Elsevier, vol. 294(2), pages 633-650.
    10. Vidoli, F. & Fusco, E. & Pignataro, G. & Guccio, C., 2024. "Multi-directional Robust Benefit of the Doubt model: An application to the measurement of the quality of acute care services in OECD countries," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    11. Gong, Chengzhu & Gong, Nianjiao & Qi, Rui & Yu, Shiwei, 2020. "Assessment of natural gas supply security in Asia Pacific: Composite indicators with compromise Benefit-of-the-Doubt weights," Resources Policy, Elsevier, vol. 67(C).
    12. Genave, Anna & Blancard, Stéphane & Garabedian, Sabine, 2020. "An assessment of energy vulnerability in Small Island Developing States," Ecological Economics, Elsevier, vol. 171(C).
    13. Ramon Sala-Garrido & Manuel Mocholí-Arce & María Molinos-Senante, 2021. "Assessing the Quality of Service of Water Companies: a ‘Benefit of the Doubt’ Composite Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 155(1), pages 371-387, May.

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