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20261008151136
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American Scientific Publishing Group
International Journal of Neutrosophic Science
IJNS
2692-6148
2690-6805
2026
27
2
Novel Approach to Solve a Neutrosophic Transportation Problem
Melita Vinoliah
E.
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur, Chengalpattu, 603203, Tamil Nadu, India
Krishnaveni
G.
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur, Chengalpattu, 603203, Tamil Nadu, India
Balaganesan
M.
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur, Chengalpattu, 603203, Tamil Nadu, India
Sudha
G.
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur, Chengalpattu, 603203, Tamil Nadu, India
Chiranjibe
Jana
Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai 602105, Tamil Nadu, India
Nikola
Ivković
Faculty of Organization and Informatics, University of Zagreb, Pavlinska 2, 42000 Varaždin, Croatia
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The transportation problem is a linear programming challenge focused on allocating resources efficiently across multiple locations while minimizing costs. Widely used in operations research, the transportation problem has numerous practical applications. Traditional approaches often struggle with imprecise data, which membership grades and fuzzy set theory can be used to address. Fuzzy sets concept provides a valuable framework for analysing transportation models under uncertainty. Neutrosophic sets have gained significant attention as a powerful tool for handling incomplete, ambiguous, and inconsistent data. Their ability to manage indeterminacy has made them increasingly popular in decision-making research, leading to extensive studies on their applications. This paper explores the use of imprecise parameters to improve transportation problem solution methods, emphasizing the versatility and advancements of neutrosophic sets. While various techniques exist for interpreting neutrosophic sets, certain limitations and field-specific requirements persist. In this study, trapezoidal fuzzy neutrosophic numbers make up fundamental components with respect to transportation problem. The proposed mathematical operations, algorithmic process, and framework achieve a 95% confidence level in clarifying uncertainties compared to the results with other methods. The effectiveness has been demonstrated with a numerical example for this approach, with comparisons to existing methods highlighting its advantages.
2026
275
286
4068
https://creativecommons.org/licenses/by/4.0/
10.54216/IJNS.270223
https://www.americaspg.com/journal/21/article/4068
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https://www.americaspg.com/storage/01756939955.pdf