Fuzzy Foldness of Ideals in BCK / BCI - Algebras

The study of BCK/BCI-algebras was initiated by Iséki to generalize the concept of set-theoretic difference and propositional calculus. Since then, a great deal of theorems has been produced on the theory of BCK/BCI-algebras. In(1965) Zadeh has introduced the notion of a fuzzy subset of a set as a method for representing uncertainty. In 1991, Xi defined fuzzy subsets in BCK/BCI-algebras. In 2020Muhiuddin and Jun gave Further Results of Neutrosophic subalgebras in BCK/BCI -algebras based on Neutrosophic points. In 2019 Muhiuddin, Kim, and Jun defined Implicative N - ideals of BCK - algebras based on Neutrosophic N - structures.

Autorentext

We introduce new notions of (fuzzy) n-fold in BCK/BCI -algebras ., Then we studied relationships between different types of n- fold P -ideals and investigate several properties of the foldness theory of P -ideals in BCK/BCI-algebras. Finally, we construct some algorithms for studying the foldness theory of BCK/BCI