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Issue:Development of intuitionistic fuzzy integrated super-efficiency SBM model

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http://ifigenia.org/wiki/issue:nifs/24/1/131-140
Title of paper: Development of intuitionistic fuzzy integrated super-efficiency SBM model
Author(s):
Alka Arya
Department of Mathematics, Indian Institute of Technology, Roorkee, India
alka1dma@iitr.ac.in
Shiv Prasad Yadav
Department of Mathematics, Indian Institute of Technology, Roorkee, India
yadavfma@iitr.ac.in
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 131–140
DOI: https://doi.org/10.7546/nifs.2018.24.1.131-140
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Abstract: Slack based measure (SBM) model determines the performance efficiency of homogeneous decision making units (DMUs) and also determines the efficient and inefficient DMUs. Super-efficiency SBM (SESBM) model determines the efficiency of efficient DMUs. Guo et al. [7] proposed an integrated super-efficiency SBM (ISESBM) model which determines the efficiency and super-efficiency of DMUs using one model. In conventional ISESBM, the data is crisp. But it fluctuates in the real world applications. Such data can take the form of fuzzy / interval / intuitionistic fuzzy (IF) numbers. In this paper, we propose an IF ISESBM (IFISESBM) model using expected value of intuitionistic fuzzy numbers (IFNs). Finally, a health sector application of the proposed model is presented with two IF inputs and two IF outputs.
Keywords: Integrated super-efficiency slack based measure, Intuitionistic fuzzy integrated super-efficiency slack based measure, Posterior efficiency.
AMS Classification: 03E72.
References:
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  13. Tone, K. (2002) A slacks-based measure of super-efficiency in data envelopment analysis, European Journal of Operational Research, 143(1), 32–41.
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