Applications of Soft Sets in BH-algebra

Layth Salah Mahdi

Abstract: In this paper, the concept of soft set BH-algebra is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied. The bi-intersection, extended intersection, restricted union, -union, -intersection and cartesian product of the family of soft BH-algebra and soft BH-subalgebra are established. Also, the theorems of homomorphic image and homomorphic pre-image of soft sets are given. Moreover, the notion of soft BH- homomorphism is introduced and its basic properties are studied.

Keywords: Soft sets, BH-algebra, Soft BH-algebra, Soft BH-subalgebra, Cartesian product of soft sets