Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms

Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras. At present, there exist no results on doubt neutrosophic ideals of BCK/BCI-algebras using t-conorm and t-norm. First, the notions of (S, T)- normed doubt neutrosophic subalgebras and ideals of BCK/BCI-algebras are introduced and the characteristic properties are described. Then, images and preimages of (S, T)- normed doubt neutrosophic ideals under homomorphism are considered. Moreover, the direct product and (S, T)- product of (S, T)- normed doubt neutrosophic ideals of BCK/BCI-algebras are also discussed. © 2020. All Rights Reserved.