Generalized Rough Sets Applied to BCK/BCI-Algebras

Abstract

The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given. Using the concept of generalized approximation space, generalized rough subalgebra (ideal) in BCK/BCI-algebras are introduced, and investigate their properties. Using the concept of generalized approximation space and ideal of BCK/bCI-algebra, another type of generalized lower and upper approximations based on the ideal is considered, and then several properties are investigated.

Keywords

• generalized approximation space
• generalized rough set
• (strong) set-valued bck/bci-morphism
• generalized lower rough subalgebra (ideal)
• generalized upper rough subalgebra (ideal)
• 06f35
• 03g25