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Development of intuitionistic fuzzy data envelopment analysis models and intuitionistic fuzzy input–output targets

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Abstract

In this paper, we develop intuitionistic fuzzy data envelopment analysis (IFDEA) and dual IFDEA (DIFDEA) models based on \(\alpha \)- and \(\beta \)-cuts. We determine intuitionistic fuzzy (IF) efficiencies based on \(\alpha \)- and \(\beta \)-cuts. We develop an IF correlation coefficient (IFCC) between IF variables to validate the DIFDEA models. We propose an index ranking approach to rank the decision making units (DMUs). Also, we propose an approach to find the IF input–output targets which help to make inefficient DMUs as efficient DMUs in IF environment. Finally, an example and a health sector application are presented to illustrate and compare the proposed methods.

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Acknowledgements

The authors are thankful to the Ministry of Human Resource Development (MHRD), the Govt. of India, India, with grant number MHR-02-23-200-44, for financial support in pursuing this research. The authors are also thankful to Mr. Tajender, ARO, Administrative Office, Meerut, India, for providing the valuable data of the hospitals.

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Authors and Affiliations

  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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Conflict of interest

Alka Arya has received research grants from Ministry of Human Resource Development (MHRD), Govt. of India, India. Shiv Prasad Yadav declares that he has no conflict of interest.

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Communicated by V. Loia.

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Arya, A., Yadav, S.P. Development of intuitionistic fuzzy data envelopment analysis models and intuitionistic fuzzy input–output targets. Soft Comput 23, 8975–8993 (2019). https://doi.org/10.1007/s00500-018-3504-3

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