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Abstract

The applications of fuzzy analysis in data-oriented techniques are the challenging aspect in the field of applied operational research. The use of fuzzy set theoretic measure is explored here in the context of data envelopment analysis (DEA) where we are utilizing the fuzzy ?-level approach in the three types of efficiency models. Namely, BCC models, SBM model and supper efficiency model in DEA. It was observed from the result that the fuzzy SBM model has good discrimination power over fuzzy BCC. On the other side, both the models fuzzy BCC and fuzzy SBM are not able to make the genuine ranking which is acceptable for all. So this weakness is overcome with the help of fuzzy super SBM model and all three models are applied to illustrate the types of decisions and solutions that are achievable when the data are vague and prior information is in imprecise.


In this paper, we are considering that our inputs and outputs are not known with absolute precision in DEA and here, we using Fuzzy-DEA models based on an ?-level fuzzy approach to assessing fuzzy data.

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Author Biographies

Qaiser Farooq Dar, Division of International Trade, Incheon National University, South Korea.

Postdoctoral Researcher, Division of International Trade, College of Global Politics & Public Affairs, Incheon National University, South Korea.

Ahn Young Hyo, Division of International Trade, Incheon National University, South Korea.

Professor, Division of International Trade, Incheon National University, South Korea.

Gulbadian Farooq Dar, Department of Statistics, Ramanujan School of Mathematical Science, Pondicherry University, India

Research Scholar, Department of Statistics, Ramanujan School of Mathematical Science, Pondicherry University, India

Shariq Ahmad Bhat, Department of Commerce, Islamic College of Science and Commerce, Srinagar-India

Assistant Professor, Department of Commerce, Islamic College of Science and Commerce, Srinagar-India

Arif Muhammad Tali, Department of Statistics, Amar Singh College, Srinagar, Srinagar-India

Assistant Professor, Department of Statistics, Amar Singh College, Srinagar, Srinagar-India

Yasir Hamid Bhat, Department of Computer Science and Engineering, Islamic University of Science & Technology, Kashmir-India

Assistant Professor, Department of Computer Science and Engineering, Islamic University of Science & Technology, Kashmir-India
How to Cite
Dar, Q. F., Hyo, A. Y., Dar, G. F., Bhat, S. A., Tali, A. M., & Bhat, Y. H. (2019). Fuzzy Data envelopment Analysis with SBM using ?-level Fuzzy Approach. Pakistan Journal of Statistics and Operation Research, 15(2), 481-501. https://doi.org/10.18187/pjsor.v15i2.2051