Hyperstructure Theory Applied to BF-Algebras

This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals investigate several of their related characteristics. BF-algebra ideal characteristics are taken into account, supported examples built. Here, also develop new concepts known as hyper-B-algebra, hyper-BG-algebra, hyper-BH algebra generalizations other classes hyper-BCK-/BCI-algebras. Additionally, demonstrate that each a weak in hyper-BF-algebra, but opposite not true. It further established intersection family weak.