MBJ-neutrosophic hyper $ BCK $-ideals in hyper $ BCK $-algebras

Abstract

In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a $ BCK/BCI $-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper $ BCK $-algebra. The notions of the MBJ-neutrosophic hyper $ BCK $-ideal, the MBJ-neutrosophic weak hyper $ BCK $-ideal, the MBJ-neutrosophic s-weak hyper $ BCK $-ideal and the MBJ-neutrosophic strong hyper $ BCK $-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.