Stock Evaluation under Mixed Uncertainties Using Robust DEA Model

Document Type : Research Paper

Authors

1 Faculty of Industrial Engineering, Iran University of Science & Technology, Tehran, Iran

2 Iran university of science and technology

3 Faculty of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Abstract

Data Envelopment Analysis (DEA) is one of the popular and applicable techniques for assessing and ranking the stocks or other financial assets. It should be noted that in the financial markets, most of the times, the inputs and outputs of DEA models are accompanied by uncertainty. Accordingly, in this paper, a novel Robust Data Envelopment Analysis (RDEA) model, which is capable to be used in the presence of discrete and continuous uncertainties, is presented. The proposed novel RDEA model in the paper was implemented in a real case study of Tehran Stock Exchange (TSE). The results showed that the proposed new RDEA model was effective in the assessment and ranking of the stocks under different scenarios with interval values.

Keywords


Atıcı, K. B., & Gülpınar, N. (2016). Robust DEA Approaches to Performance Evaluation of Olive Oil Production under Uncertainty. Robustness Analysis in Decision Aiding, Optimization, and Analytics, 299-318.
Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078-1092.
Ben-Tal, A., & Nemirovski, A. (2000). Robust solutions of linear programming problems contaminated with uncertain data. Mathematical Programming, 88(3), 411-424.
Bertsimas, D., & Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35-53.
Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429-444.
Esfandiari, M., Hafezalkotob, A., Khalili-Damghani, K., & Amirkhan, M. (2017). Robust two-stage DEA models under discrete uncertain data. International Journal of Management Science and Engineering Management, 12(3), 216-224.
Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society. Series A (General), 120(3), 253-290.
Foroughi, A., & Esfahani, M. (2012). A robust AHP-DEA method for measuring the relative efficiency: An application of airport industry. Management Science Letters, 2(1), 93-100.
Hafezalkotob, A., Haji-Sami, E., & Omrani, H. (2015). Robust DEA under discrete uncertain data: a case study of Iranian electricity distribution companies. Journal of Industrial Engineering International, 11(2), 199-208.
Lu, C. C. (2015). Robust data envelopment analysis approaches for evaluating algorithmic performance. Computers & Industrial Engineering, 81, 78-89.
Mulvey, J. M., Vanderbei, R. J., & Zenios, S. A. (1995). Robust optimization of large-scale systems. Operations Research, 43(2), 264-281.
Peykani, P., Mohammadi, E., Jabbarzadeh, A., & Jandaghian, A. (2016). Utilizing Robust Data Envelopment Analysis Model for Measuring Efficiency of Stock, A case study: Tehran Stock Exchange, Journal of New Research in Mathematics, 1(4), 15-24.
Peykani, P., & Mohammadi, E. (2018). Interval Network Data Envelopment Analysis Model for Classification of Investment Companies in the Presence of Uncertain Data, Journal of Industrial and Systems Engineering, 11, Special issue: 14th International Industrial Engineering Conference, 63-72.
Peykani, P., Mohammadi, E., Sadjadi, S. J., & Rostamy-Malkhalifeh, M. (2018a). A Robust Variant of Radial Measure for Performance Assessment of Stock. The Third International Conference on Intelligent Decision Science, Tehran, Iran.
Peykani, P., Mohammadi, E., Pishvaee, M.S., Rostamy-Malkhalifeh, M., & Jabbarzadeh, A. (2018b). A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches, RAIRO-Operations Research, 52(4), 1445-1463.
Peykani, P., Mohammadi, E., Rostamy-Malkhalifeh, M., & Hosseinzadeh Lotfi, F. (2019). The Fuzzy Data Envelopment Analysis Approach for Ranking of Stocks with an Application to Tehran Stock Exchange, Advances in Mathematical Finance and Applications, 4(1), 31-43.
Rabbani, M., Heidari, N., & Farrokhi-Asl, H. (2017). A Bootstrap Interval Robust Data Envelopment Analysis for Estimate Efficiency and Ranking Hospitals. Journal of Industrial Engineering and Management Studies, 3(2), 107-122.
Roghanian, E., & Foroughi, A. (2010). An empirical study of Iranian regional airports using robust data envelopment analysis. International Journal of Industrial Engineering Computations, 1(1), 65-72.
Sadjadi, S. J., Omrani, H., Abdollahzadeh, S., Alinaghian, M., & Mohammadi, H. (2011). A robust super-efficiency data envelopment analysis model for ranking of provincial gas companies in Iran. Expert Systems with Applications, 38(9), 10875-10881.
Sadjadi, S., & Omrani, H. (2008). Data envelopment analysis with uncertain data: An application for Iranian electricity distribution companies. Energy Policy, 36(11), 4247-4254.
Soyster, A. L. (1973). Technical note—convex programming with set-inclusive constraints and applications to inexact linear programming. Operations Research, 21(5), 1154-1157.
Yousefi, S., Alizadeh, A., Hayati, J., & Baghery, M. (2018). HSE risk prioritization using robust DEA-FMEA approach with undesirable outputs: A study of automotive parts industry in Iran. Safety science, 102, 144-158.
Zahedi-Seresht, M., Jahanshahloo, G. R., & Jablonsky, J. (2017). A robust data envelopment analysis model with different scenarios. Applied Mathematical Modelling, 52, 306-319.