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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 5

An approach for unbalanced fully rough interval transportation problem

S. Shivani(Dr. B. R. Ambedkar National Institute of Technology)0000-0003-0770-8899
Deepika Rani(Dr. B. R. Ambedkar National Institute of Technology)0000-0001-8544-4628
Ali Ebrahimnrjad(Islamic Azad University, Qaemshahr Branch)0000-0001-6003-6601
Pages
—
Publication Date
2023-10-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the study’s conclusions and future research directions are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we consider an unbalanced fully rough interval transportation problem, where all the parameters and decision variables are represented by rough interval numbers.
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Key Findings & Data:A method named as split and separation method has been proposed in the literature to find the optimal solution of balanced fully rough interval transportation problem.
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Conclusion & Impact:Finally, the study’s conclusions and future research directions are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Transportation problem · Rough interval coefficient · Unbalanced fully rough interval transportation problem

Abstract

In this study, we consider an unbalanced fully rough interval transportation problem, where all the parameters and decision variables are represented by rough interval numbers. A method named as split and separation method has been proposed in the literature to find the optimal solution of balanced fully rough interval transportation problem. As per our knowledge, no method exists in the literature to solve an unbalanced fully rough interval transportation problem. Therefore, a new method is proposed in this study to solve such problem. Using proposed methodology, firstly the unbalanced problem is converted into a balanced one and then the optimal solution of the balanced problem is obtained. To show the applicability of the proposed methodology, a numerical example is solved. Finally, the study’s conclusions and future research directions are discussed.

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Cite This Article

Shivani, S., Rani, D., Ebrahimnrjad, A. (2023). An approach for unbalanced fully rough interval transportation problem. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 5. https://doi.org/10.15672/hujms.980108

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