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

Symmetry - Tập 12 Số 4 - Trang 588
Wei Yang1, Lulu Cai2, S. A. Edalatpanah3, Florentín Smarandache4
1STATE GRID Quzhou Power Supply Company, Quzhou University, Quzhou 324000, China
2Department of Electrical Automation, Quzhou University, Quzhou 324000, China
3Department of Applied Mathematics, Quzhou University, Quzhou 324000, China
4Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA

Tóm tắt

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.

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Symmetry

Tập 12 Số 4

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