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Development of FDEA Models to Measure the Performance Efficiencies of DMUs

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Abstract

Data envelopment analysis (DEA) is a linear programming-based methodology to measure the relative performance efficiencies of DMUs which produce multiple outputs by consuming multiple inputs. The input data and output data can be considered as a linguistic variables characterized by fuzzy numbers. So, in the present study, we extend DEA to fuzzy DEA (FDEA) in which the input and output data are taken as fuzzy numbers (FNs), in particular triangular FNs. In this paper, we develop two FDEA models to measure the left hand and right hand relative performance efficiencies of each DMU using \(\alpha\)-cut approach. Further, we propose a ranking method to rank the DMUs based on left hand and right hand efficiencies. Finally, the developed FDEA models and proposed ranking models are illustrated with an example and then compared the results with geometric average efficiency index ranking method. The proposed model is also experimented with a real-life problem.

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Acknowledgements

The authors are thankful to the learned reviewers for rigorous comments which improved the original manuscript. The authors are thankful to the Ministry of Human Resource Development (MHRD), Govt. of India, India, for financial support in pursuing this research. The authors are also thankful to Mr. Deen Bandhu, ARO, Chief Medical Office, Department Head Office, Meerut, India, for providing the valuable data of the hospitals.

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  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Alka Arya & Shiv Prasad Yadav

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  1. Alka Arya
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  2. Shiv Prasad Yadav
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Correspondence to Alka Arya.

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Arya, A., Yadav, S.P. Development of FDEA Models to Measure the Performance Efficiencies of DMUs. Int. J. Fuzzy Syst. 20, 163–173 (2018). https://doi.org/10.1007/s40815-017-0325-y

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