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

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.

Enhancing Efficiency Assessment of Egyptian Pharmaceutical Companies through the Usage of Two-Stage Uncertainty Data Envelopment Analysis Algorithm

“…[29] constructed a novel approach that extends the fuzzy DEA model utilizing the local α-cut, addressing some of the drawbacks of the α-cut method, particularly its inability to encompass all uncertain information. Recent advancements in the field have witnessed the adoption of alternative fuzzy set extensions like Fermatean fuzzy sets and spherical fuzzy sets for constructing DEA models, along with the development of corresponding solution techniques, as evident in studies by [30,31,32]. Progress in the field of fuzzy sets extends beyond neutrosophic sets.…”

“…Progress in the field of fuzzy sets extends beyond neutrosophic sets. some studies introduced various other extensions, including Fermatean FS, Plithogenic Set [33], and Spherical FS was proposed by [32,34], have been successfully employed in the development of DEA models and the establishment of solution methodologies. These extensions have demonstrated significant effectiveness in aiding decision-making processes within uncertainty and have found applications across diverse domains.…”

A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis

“…Again, Abdelfattah [2] in 2021 applied his proposed model [1] as an application for measuring the performance of the 32 regional hospitals of in Tunisia. Recently, other extension of FS like Fermatean fuzzy set [3] and Spherical fuzzy set [18,19] are used to construct the DEA models and its solution techniques are developed.…”

Enhanced Performance Evaluation Through Neutrosophic Data Envelopment Analysis Leveraging Pentagonal Neutrosophic Numbers

“…Advancements have not been limited to the neutrosophic sets, however. Other extensions of fuzzy set, such as Fermatean fuzzy set [35], Plithogenic Set [36], and Spherical fuzzy set [37,38], have been constructively employed to develop DEA models and establish solution techniques. These extensions have proven invaluable for decision-making under uncertainty, with widespread applications across multiple disciplines.…”