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
|
Download:
|
PDF (538 Kb Kb, File info)
|
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:
|
- Arya, A., & Yadav, S. P. (2017) A fuzzy dual SBM model with fuzzy weights: An application to the health sector, Proceedings of Sixth International Conference on Soft Computing for Problem Solving, Springer, pp. 230–238.
- Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
- Atanassov, K. T. (1999) Elements of intuitionistic fuzzy logics, Intuitionistic Fuzzy Sets: Theory and Applications, Springer, pp. 199–236.
- De, S. K., Biswas, R., & Roy, A. R. (2001) An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117(2), 209–213.
- Dengfeng, L., & Chuntian, C. (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognition Letters, 23(1), 221–225.
- Du, J., Liang, L., & Zhu, J. (2010) A slacks-based measure of super-efficiency in data envelopment analysis: a comment, European Journal of Operational Research, 204(3), 694–697.
- Guo, I. L., Lee, H. S., & Lee, D. (2017) An integrated model for slack-based measure of super-efficiency in additive DEA, Omega, 67, 160–167.
- Li, D. F. (2005) Multiattribute decision making models and methods using intuitionisticfuzzy sets, Journal of Computer and System Sciences, 70(1), 73–85.
- Mahapatra, G. S., & Roy, T. K. (2009) Reliability evaluation using triangular intuitionistic fuzzy numbers arithmetic operations, World Academy of Science, Engineering and Technology, 50, 574–581.
- Puri, J., & Yadav, S. P. (2015) Intuitionistic fuzzy data envelopment analysis: An application to the banking sector in India, Expert Systems with Applications, 42(11), 4982–4998.
- Shu, M. H., Cheng, C. H., & Chang, J. R. (2006) Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly. Microelectronics Reliability, 46(12), 2139–2148.
- Tone, K. (2001) A slacks-based measure of efficiency in data envelopment analysis, European Journal of Operational Research, 130(3), 498–509.
- Tone, K. (2002) A slacks-based measure of super-efficiency in data envelopment analysis, European Journal of Operational Research, 143(1), 32–41.
|
Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|