A Ranking Approach for Decision Making Units with Interval Data using Multi-Objective IDEA Model and Relative Closeness Coefficient Method

Authors

  • Narong Wichapa Department of Industrial Engineering, Faculty of Engineering and Industrial Technology, Kalasin University https://orcid.org/0000-0003-3236-5349
  • Atchara Choompol Department of Computer Engineering and Automation, Faculty of Engineering and Industrial Technology, Kalasin University

DOI:

https://doi.org/10.14456/jeit.2023.25

Keywords:

Data Envelopment Analysis, Interval Data Envelopment Analysis, Multi-Objective IDEA Model, Relative Closeness Coefficient Method

Abstract

The traditional Data Envelopment Analysis (DEA) model can assess the relative efficiency of decision-making units (DMUs) with precise data. However, it cannot be applied to evaluate the efficiency of production units with imprecise data. Imprecise data can take various forms, such as interval data or fuzzy data. This research aims to introduce a ranking method for DMUs with interval data using a Multi-Objective IDEA Model (MOIDEA model) and the Relative Closeness Coefficient method (RCC). In the first step, the MOIDEA model is used to assess interval efficiency. Subsequently, the interval efficiency scores were transformed into precise efficiency scores using the Relative Closeness Coefficient (RCC) method. Testing the proposed method against problem in the literature reveals that it achieves a high Spearman rank correlation (r > 0.999) when compared to a method in the literature. Therefore, the proposed method is reliable and can serve as one approach for assessing and ranking DMUs that possess interval data.

Author Biography

Narong Wichapa, Department of Industrial Engineering, Faculty of Engineering and Industrial Technology, Kalasin University

NARONG WICHAPA received B.Eng., M.Eng. and Ph.D. in Industrial Engineering from Khon Kaen University. He is currently an Assistant Professor with the Department of Industrial Engineering, Kalasin University. Sphere of interest: Multi-Criteria Decision Making, Mathematical Optimization, Data Envelopment Analysis, Heuristics and Meta-Heuristics, Design of Experiments and Operations Research.

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Published

2023-12-15

How to Cite

[1]
N. Wichapa and A. Choompol, “A Ranking Approach for Decision Making Units with Interval Data using Multi-Objective IDEA Model and Relative Closeness Coefficient Method”, JEIT, vol. 1, no. 6, pp. 28–37, Dec. 2023.