Determining Accurate Efficiency in the Presence of Fuzzy Data via One LP NDEA Model

Subject Areas : International Journal of Mathematical Modelling & Computations

Sajedeh Mohammadnia Ahmadi ¹ , Amin Mostafaee ² , Sohraee Sevan ³ , Saber Saati ⁴

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Received: 2024-06-29 Accepted : 2024-09-14 Published : 2024-09-16

Keywords: Fuzzy network data envelopment analysis, A two-stage system, Triangular fuzzy data, Possibilities linear programming, Definite efficiency score.,

Abstract :

Supply chain management is a combined approach based on the process of production and delivery of goods and services to customers, aiming to improve the overall efficiency of the system. Therefore, for successful companies, this approach is very important as it monitors the interactions between system components to enhance overall system efficiency. In a supply chain, there may be conflict or cooperation between different components, such as suppliers and manufacturers, working towards common goals. Additionally, much data from companies, hospitals, and educational centers is currently unavailable due to various factors. In this article, to address these problems, two scenarios of non-participatory control and cooperative control in the fuzzy network supply chain are considered, evaluating the performance of fuzzy network structures with different roles of intermediaries. Mathematical programming models have also been proposed for each of the scenarios, derived by using the α-cut method to convert each nonlinear problem into a linear one with unique efficiency values of the units under evaluation. Finally, to demonstrate the applicability of the model and highlight the conflict between supply chain objectives in the presence of fuzzy data, a case study on the particleboard industry was conducted.

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