International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/335 2020 2020 Department of Mathematics, Payame Noor University, P.O..Box. 19395-3697, Tehran, IRAN Akbar .. Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA Florentin Smarandache In this paper, the concepts of Neutro-BE-algebra and Anti-BE-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-BE-algebra and Anti-BE-algebras are alternatives of the class of BE-algebras. 2020 2020 08 15 10.54216/IJNS.040101 https://www.americaspg.com/articleinfo/21/show/335