International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1835 2020 2020 Department of Mathematics, Acharya Nagarjuna universtiy, Guntur Dist., A.P, India Amarendra Babu. V. Department of H & S, KRUCET, Krishna university, Machilipatnam, A.P, India Abida Begum. K. PVP Siddhartha institute of Technology, Vijayawada, A.P, India Siva Naga Malleswari. V. The MBJ-Neutrosophic positive implicative LI-ideals, the MBJ-Neutrosophic associative LI-ideals, and the MBJ-Neutrosophic fantastic LI-ideals are all introduced in this study. Of all these ideals, several their qualities and corresponding conditions were explored. We have demonstrated how every positive implicative MBJ-Neutrosophic LI-ideal evolved into an MBJ-Neutrosophic LI-ideal, MBJ-Neutrosophic implicative LI-ideal, and MBJ-Neutrosophic fantastic LI-ideal. Additionally, it was demonstrated that any MBJ-Neutrosophic fantastic LI-ideal is a MBJ-Neutrosophic associative LI-ideal. 2023 2023 84 97 10.54216/IJNS.210208 https://www.americaspg.com/articleinfo/21/show/1835