IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v65y2025i3d10.1007_s10614-024-10603-7.html
   My bibliography  Save this article

A Novel Pythagorean Approach Based Sine-Shaped Fuzzy Data Envelopment Analysis Model: An Assessment of Indian Public Sector Banks

Author

Listed:
  • Mohammad Aqil Sahil

    (South Asian University)

  • Meenakshi Kaushal

    (South Asian University)

  • Q. M. Danish Lohani

    (South Asian University)

Abstract

Fuzzy Data Envelopment Analysis is a modeling technique that efficiently ranks decision-making units (DMUs) based on imprecise inputs and outputs. The method constructs an efficient frontier line that separates efficient and inefficient DMUs. The goal is to improve the efficiency score of each inefficient DMU by moving them to the efficient frontier. In this study, we introduce a new approach, called the Pythagorean approach, which considers both the input and the output aspects. The approach is applied to the CCR model, and a new version of the BCC model is introduced, known as the Pythagorean approach-based BCC model. To handle the vagueness of the data set, the Pythagorean approach-based BCC model is extended to a fuzzy environment using a new type of fuzzy number called a sine-shaped fuzzy number. Finally, the efficacy of the model is tested in Indian public sector banks.

Suggested Citation

  • Mohammad Aqil Sahil & Meenakshi Kaushal & Q. M. Danish Lohani, 2025. "A Novel Pythagorean Approach Based Sine-Shaped Fuzzy Data Envelopment Analysis Model: An Assessment of Indian Public Sector Banks," Computational Economics, Springer;Society for Computational Economics, vol. 65(3), pages 1373-1395, March.
  • Handle: RePEc:kap:compec:v:65:y:2025:i:3:d:10.1007_s10614-024-10603-7
    DOI: 10.1007/s10614-024-10603-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-024-10603-7
    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/s10614-024-10603-7?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. Bauer, Paul W. & Berger, Allen N. & Ferrier, Gary D. & Humphrey, David B., 1998. "Consistency Conditions for Regulatory Analysis of Financial Institutions: A Comparison of Frontier Efficiency Methods," Journal of Economics and Business, Elsevier, vol. 50(2), pages 85-114, March.
    2. Amin Mahmoudi & Saad Ahmed Javed & Abbas Mardani, 2022. "Gresilient supplier selection through Fuzzy Ordinal Priority Approach: decision-making in post-COVID era," Operations Management Research, Springer, vol. 15(1), pages 208-232, June.
    3. Bana e Costa, Carlos A. & Soares de Mello, João Carlos C.B. & Angulo Meza, Lidia, 2016. "A new approach to the bi-dimensional representation of the DEA efficient frontier with multiple inputs and outputs," European Journal of Operational Research, Elsevier, vol. 255(1), pages 175-186.
    4. Kao, Chiang & Liu, Shiang-Tai, 2004. "Predicting bank performance with financial forecasts: A case of Taiwan commercial banks," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2353-2368, October.
    5. Jolly Puri & Shiv Prasad Yadav, 2017. "Improved DEA models in the presence of undesirable outputs and imprecise data: an application to banking industry in India," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1608-1629, November.
    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. Eling, Martin & Jia, Ruo, 2018. "Business failure, efficiency, and volatility: Evidence from the European insurance industry," International Review of Financial Analysis, Elsevier, vol. 59(C), pages 58-76.
    2. Catarina Figueira & Joseph Nellis & David Parker, 2009. "Banking performance and technological change in non‐core EU countries," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 26(3), pages 155-170, July.
    3. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    4. Valentin Z. Toci & Iraj Hashi, 2013. "Intermediation Efficiency of Banks in South-East Europe: An Empirical Assessment Using Dea and Malmquist Index," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(3), pages 01-20, July.
    5. Ray, Subhash C. & Das, Abhiman, 2010. "Distribution of cost and profit efficiency: Evidence from Indian banking," European Journal of Operational Research, Elsevier, vol. 201(1), pages 297-307, February.
    6. Bijoy Rakshit, 2021. "Evaluating Profitability and Marketability Efficiency: A Case of Indian Commercial Banks," Global Business Review, International Management Institute, vol. 22(4), pages 977-995, August.
    7. Isik, Ihsan & Uygur, Ozge, 2021. "Financial crises, bank efficiency and survival: Theory, literature and emerging market evidence," International Review of Economics & Finance, Elsevier, vol. 76(C), pages 952-987.
    8. Kwan, Simon H., 2006. "The X-efficiency of commercial banks in Hong Kong," Journal of Banking & Finance, Elsevier, vol. 30(4), pages 1127-1147, April.
    9. Barros, Carlos Pestana & Williams, Jonathan, 2013. "The random parameters stochastic frontier cost function and the effectiveness of public policy: Evidence from bank restructuring in Mexico," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 98-108.
    10. Helmi Hammami & Thanh Ngo & David Tripe & Dinh-Tri Vo, 2022. "Ranking with a Euclidean common set of weights in data envelopment analysis: with application to the Eurozone banking sector," Annals of Operations Research, Springer, vol. 311(2), pages 675-694, April.
    11. Santiago Carbó Valverde & David Humphrey & Rafael López del Paso, 2007. "Opening the black box: Finding the source of cost inefficiency," Journal of Productivity Analysis, Springer, vol. 27(3), pages 209-220, June.
    12. da Silva, Aneirson Francisco & Miranda, Rafael de Carvalho & Marins, Fernando Augusto Silva & Dias, Erica Ximenes, 2024. "A new multiple criteria data envelopment analysis with variable return to scale: Applying bi-dimensional representation and super-efficiency analysis," European Journal of Operational Research, Elsevier, vol. 314(1), pages 308-322.
    13. Banfi, Silvia & Filippini, Massimo, 2010. "Resource rent taxation and benchmarking--A new perspective for the Swiss hydropower sector," Energy Policy, Elsevier, vol. 38(5), pages 2302-2308, May.
    14. Quintano, Claudio & Mazzocchi, Paolo & Rocca, Antonella, 2021. "Evaluation of the eco-efficiency of territorial districts with seaport economic activities," Utilities Policy, Elsevier, vol. 71(C).
    15. Mehdi Farsi & Aurelio Fetz & Massimo Filippini, 2007. "Benchmarking and Regulation in the Electricity Distribution Sector," CEPE Working paper series 07-54, CEPE Center for Energy Policy and Economics, ETH Zurich.
    16. Sandrine Kablan & Ouidad Yousfi, 2015. "Performance of Islamic Banks across the World: An Empirical Analysis over the Period 2001-2008," International Journal of Empirical Finance, Research Academy of Social Sciences, vol. 4(1), pages 27-46.
    17. María Victoria Uribe‐Bohorquez & Jennifer Martínez‐Ferrero & Isabel‐María García‐Sánchez, 2019. "Women on boards and efficiency in a business‐orientated environment," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 26(1), pages 82-96, January.
    18. Fethi, Meryem Duygun & Pasiouras, Fotios, 2010. "Assessing bank efficiency and performance with operational research and artificial intelligence techniques: A survey," European Journal of Operational Research, Elsevier, vol. 204(2), pages 189-198, July.
    19. Barros, Carlos Pestana & Ferreira, Candida & Williams, Jonathan, 2007. "Analysing the determinants of performance of best and worst European banks: A mixed logit approach," Journal of Banking & Finance, Elsevier, vol. 31(7), pages 2189-2203, July.
    20. J. Cummins & Hongmin Zi, 1998. "Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry," Journal of Productivity Analysis, Springer, vol. 10(2), pages 131-152, October.

    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:kap:compec:v:65:y:2025:i:3:d:10.1007_s10614-024-10603-7. 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.