Triangular Single Valued Neutrosophic Data Envelopment Analysis: Application to Hospital Performance Measurement

Abstract

The foremost broadly utilized strategy for the valuation of the overall performance of a set of identical decision-making units (DMUs) that use analogous sources to yield related outputs is data envelopment analysis (DEA). However, the witnessed values of the symmetry or asymmetry of different types of information in real-world applications are sometimes inaccurate, ambiguous, inadequate, and inconsistent, so overlooking these conditions may lead to erroneous decision-making. Neutrosophic set theory can handle these occasions of data and makes an imitation of the decision-making procedure with the aid of thinking about all perspectives of the decision. In this paper, we introduce a model of DEA in the context of neutrosophic sets and sketch an innovative process to solve it. Furthermore, we deal with the problem of healthcare system evaluation with inconsistent, indeterminate, and incomplete information using the new model. The triangular single-valued neutrosophic numbers are also employed to deal with the mentioned data, and the proposed method is utilized in the assessment of 13 hospitals of Tehran University of Medical Sciences of Iran. The results exhibit the usefulness of the suggested approach and point out that the model has practical outcomes for decision-makers.

A Neutrosophic-Based Approach in Data Envelopment Analysis with Undesirable Outputs

“…In the DEA literature, there are some models of DEA with neutrosophic information, see [61][62][63][64][65][66][67]…”

“…As far as we know, there are few studies concerning DEA with neutrosophic information. e utilization of neutrosophic set in DEA can be traced to Edalatpanah [61] and additional investigations have been accessible in [62][63][64][65][66][67]. However, these neutrosophic DEA methods are formulated solely for desirable outputs and cannot eliminate the influence of undesirable factors on the efficiency evaluation.…”

A Novel Two-Stage DEA Model in Fuzzy Environment: Application to Industrial Workshops Performance Measurement

“…Zadeh first anticipated the fuzzy sets (FSs) in contradiction of certain logic and at the time, his primary goal was to develop a more efficient model for describing the process of natural linguistic terms processing [15]. After this work, numerous scholars considered this topic; see [16][17][18][19][20][21][22][23][24][25][26][27].…”

“…This model is also always feasible, like the Model (24). In addition, Models of (24) and (25) are linear programming problems.…”

“…In addition, Models of (24) and (25) are linear programming problems. The Models (24) and (25) have been developed based on optimistic and pessimistic situations. The optimal values of p , k and s are calculated through the model optimization in favor of maximizing the objective functions of Models (24) and (25).…”