Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs

Authors

  • Kshitish Kumar Mohanta
  • Deena Sunil Sharanappa
  • Devika Dabke
  • Lakshmi Narayan Mishra
  • Vishnu Narayan Mishra Dr. Vishnu Narayan Mishra Associate Professor of Mathematics, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India Mb. No.: +91 9913387604, Website: http://igntu.ac.in/dept_Math.htm http://orcid.org/0000-0002-2159-7710

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4391

Keywords:

Efficiency anaysis, Data Envelopement analysis, Spherical trapezoidal Fuzzy number, CCR Model

Abstract

In this study, Data Envelopment Analysis (DEA) models are improved by employing spherical fuzzy sets (SFSs), which is an extension of generalized fuzzy sets. SFSs were recently introduced as a novel type of fuzzy set that allows decision-makers to express their level of uncertainty directly. As a result, SFSs provide a more preferred domain for decision-makers. Fundamental Charnes-Cooper-Rhodes (CCR) model is discussed on the context of spherical trapezoidal fuzzy numbers (STrFNs), which consider each data value’s truth, indeterminacy, and falsehood degrees, and a unique solution technique is implemented. This method converts a spherical fuzzy DEA(SF-DEA) model into three pair of crisp DEA model, which may then be solved using one of many existing approaches. The largest optimal interval is determined for each DMU such that the efficiency score lies inside that interval. Furthermore, an example demonstrates this novel method and clearly explains the DMUs’ ranking technique.

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How to Cite

Mohanta, K. K., Sharanappa, D. S., Dabke, D., Mishra, L. N., & Mishra, V. N. (2022). Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs. European Journal of Pure and Applied Mathematics, 15(3), 1158–1179. https://doi.org/10.29020/nybg.ejpam.v15i3.4391