aspg-21-3645-1791465322 20261008131522 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 Asra Mohammed Jasem Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq L. A. A. Al-Swidi Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq Ali H. M. Al-Obaidi Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq The importance of Neutrosophic crisp triple sets and their important effects on our daily lives was and still is aturing point in the history of science, especially mathematical sciences. From here, we began a ƝҪͳ–confused, concept that is based on both ƝҪͳ–interior, and ƝҪͳ– exterior, and important characteristic emerged because of mixing the characteristic of ƝҪͳ– interior and ƝҪͳ– exterior sets. We supported this with various examples. 2025 415 420 3645 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260133 https://www.americaspg.com/journal/21/article/3645 https://www.americaspg.com/storage/61740578878.pdf