aspg-21-2827-1791472346 20261008151226 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 3 Krishnaveni G. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India Balaganesan M. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India Melita Vinoliah E. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India Sudha G. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India The neutrosophic fuzzy set offers us a broad outline for combining several existing sets into one. Indeterminate and unpredictable data cannot be dealt with by either the fuzzy set theory or intuitionistic fuzzy set theory. The computing techniques of neutrosophic sets are valid for software development for many uses. The transportation problem profoundly depends on the neutrosophic fuzzy set. Most of the time, the data provided is indeterminate and inconsistent. At this point of time, we cannot make use of the fuzzy set and intutionistic fuzzy set to get deal with this indeterminacy. Here, we have solved numerically to reflect the impact of neutrosophic pentagonal numbers and neutrosophic octagonal numbers. The efficiency of the method is applied is also compared with the other methods. 2024 190 200 2827 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240317 https://www.americaspg.com/journal/21/article/2827 https://www.americaspg.com/storage/01716566401.pdf