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<p>This paper introduces the fully Neutrosophic Data Envelopment Analysis (Neu-DEA) model, which considers inputs, outputs, and weights as triangular neutrosophic numbers (TNNs). We use the expected upper and lower bounds of TNN to define an expected value function. The efficiency of the Decision Making Units (DMUs) is then calculated by solving this crisp LP model, categorizing the DMUs into efficient and inefficient groups. To enhance the performance of the inefficient DMUs, we introduce a reference set comprising efficient DMUs to serve as benchmarks. Then, we propose a ranking technique to completely rank DMUs that have identical efficiency scores. The neutrosophic super-efficiency DEA model significantly aids in effectively ranking the DMUs. To illustrate the practicality and validity of the proposed model in real-world scenarios, we apply it to assess the state-wise educational performance in India.</p>

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Optimizing and ranking the decision-making units with fully neutrosophic DEA model: evidence from the educational performance in India

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Kshitish Kumar Mohanta,
  • Vishal Chaubey,
  • Deena Sunil Sharanappa,
  • Alireza Amirteimoori,
  • Tofigh Allahviranloo

摘要

This paper introduces the fully Neutrosophic Data Envelopment Analysis (Neu-DEA) model, which considers inputs, outputs, and weights as triangular neutrosophic numbers (TNNs). We use the expected upper and lower bounds of TNN to define an expected value function. The efficiency of the Decision Making Units (DMUs) is then calculated by solving this crisp LP model, categorizing the DMUs into efficient and inefficient groups. To enhance the performance of the inefficient DMUs, we introduce a reference set comprising efficient DMUs to serve as benchmarks. Then, we propose a ranking technique to completely rank DMUs that have identical efficiency scores. The neutrosophic super-efficiency DEA model significantly aids in effectively ranking the DMUs. To illustrate the practicality and validity of the proposed model in real-world scenarios, we apply it to assess the state-wise educational performance in India.