Inverse network DEA incorporating cost efficiency with fuzzy data: an application to Petrochemical equipment industries

Subject Areas : International Journal of Data Envelopment Analysis

Mahsa Hamidi ¹ , Najmeh Malek Mohammadi ^{2 *} , Shabnam Razavyan ³ , Rahele Nouraei ⁴

1 -
2 - Department of Mathematics, South Tehran Branch, Islamic azad university, Tehran, Iran
3 - Islamic Azad University, South Tehran Branch, Tehran, Iran
4 - Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran

Received: 2025-03-04 Accepted : 2025-05-30 Published : 2025-07-04

Keywords: Two- stage efficiency DEA, Inverse DEA, Cost efficiency, Fuzzy data,

Abstract :

Petrochemical industry effects on economy of the oil-rich country, such as Iran and all around the world. Nowadays decision-making management is an important subject. The successful manager must be ready to set the future goals by evaluating the past performances then consider the resources and the limitations of the present. Data Envelopment Analysis (DEA) is a powerful technique evaluating relative efficiency for homogenies Decision Making Units (DMU). Since the production process usually consists of related sub-processes with uncertain data, efforts are made to generalize the conventional network models with imprecise data especially fuzzy data where the results are more realistic. This article proposed a model with fuzzy arithmetic approach estimating the inputs while the technical and cost efficiency of all DMUs remain constant with perturbed outputs by manager’s preferences.

 

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