AIMS Mathematics (Apr 2021)

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

  • Abdelaziz Alsubie,
  • Anas Al-Masarwah

DOI
https://doi.org/10.3934/math.2021358
Journal volume & issue
Vol. 6, no. 6
pp. 6107 – 6121

Abstract

Read online

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.

Keywords