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A New Approach for Solving CCR Data Envelopment Analysis Model Under Uncertainty

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Soft Computing Applications for Group Decision-making and Consensus Modeling

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

Abstract

Wang and Chin (Expert Syst Appl, 38:11678–11685, 2011 [25]) proposed an optimistic as well as pessimistic fuzzy CCR data envelopment analysis (DEA) model and an approach for solving it to evaluate the best relative fuzzy efficiency as well as worst relative fuzzy efficiency and hence, relative geometric crisp efficiency of decision making units (DMUs). In this chapter, it is shown that the fuzzy CCR models, proposed by Wang and Chin, are not valid and hence cannot be used to evaluate the best relative fuzzy efficiency as well as worst relative fuzzy efficiency and hence, relative geometric crisp efficiency of DMUs. To resolve the flaws of the fuzzy CCR DEA models, proposed by Wang and Chin, new fuzzy CCR DEA models are proposed. Also, a new approach is proposed to solve the proposed fuzzy CCR DEA models for evaluating the relative geometric crisp efficiency of DMUs.

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Acknowledgements

Dr. Amit Kumar would like to acknowledge the adolescent inner blessings of Mehar (lovely daughter of his cousin sister Dr. Parmpreet Kaur). Dr. Amit Kumar believes that Mata Vaishno Devi has appeared on the earth in the form of Mehar and without her blessings it would not be possible to think the ideas presented in this chapter. The second author would like to acknowledge the financial support given by UGC under the UGC Dr. D.S. Kothari Postdoctoral Fellowship Scheme.

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Authors and Affiliations

  1. Thapar University, Patiala, 147004, Punjab, India

    Bindu Bhardwaj, Jagdeep Kaur & Amit Kumar

Authors
  1. Bindu Bhardwaj
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  2. Jagdeep Kaur
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  3. Amit Kumar
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Corresponding author

Correspondence to Jagdeep Kaur .

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Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Bhardwaj, B., Kaur, J., Kumar, A. (2018). A New Approach for Solving CCR Data Envelopment Analysis Model Under Uncertainty. In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_20

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60206-6

  • Online ISBN: 978-3-319-60207-3

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