Geodesic
Generalized Rough Sets Applied to BCK/BCI-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 343-360

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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, generalized lower rough subalgebra (ideal), generalized upper rough subalgebra (ideal), (strong) set-valued BCK/BCI-morphism 
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Jun, Young Bae; Song, Seok-Zun; Roh, Eun Hwan. Generalized Rough Sets Applied to BCK/BCI-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 343-360. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_2_a8/