aspg-21-1208-1791475950 20261008161230 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 4 Amala S. Richard Department of Mathematics Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India. A.Rajkumar Department of Mathematics Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India. D.Nagarajan Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India. broumi said Laboratory of Information processing, Faculty of Science Ben M’Sick, University of Hassan II, Casablanca, Morocco. Neutrosophic set (NS) is generalization of Intuitionistic Fuzzy Set(IFS) and Fuzzy Set (FS) where Neutrosophic Set(NS) is the collection of Membership, Non-Membership, Indeterminacy Membership of the constituent element. This paper includes the modified circle breaking techinque which is used to evaluate the Shortest Path Problem in which edge weight are protrayed in Single Valued Linear Heptagonal Neutrosophic Number (SVLHNN) and an numerical illustration is given for the efficiency of the given algorithm. 2022 385 394 1208 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180432 https://www.americaspg.com/journal/21/article/1208 https://www.americaspg.com/storage/4540.pdf