International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3891 2020 2020 Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq Ali Ali Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq Amal A. Ibrahim Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq Auday Hekmat Mahmood Let  be the direct product of an associative ring . In the work the concepts of Endo Bi-Antiderivation, Jordan Endo Bi-Antiderivation and Quasi Endo Bi-Antiderivation on a ring  are introduced, furthermore the relations between these bi-additive mappings are given. As essential point, we searched for appropriate conditions that make equivalence between Jordan Endo Bi-Antiderivation and Quasi Endo Bi-Antiderivation. Also, we prove the same results for the generalized case of neutrosophic rings. 2025 2025 21 27 10.54216/IJNS.260403 https://www.americaspg.com/articleinfo/21/show/3891