Construction of BCK-neighborhood systems in a d-algebra

Abstract

The BCK-neighborhood systems in d-algebras as measures of distance of these algebras from BCK-algebras is introduced. We consider examples of various cases and situations related to the general theory, as well as a compilcated analytical example of one of particular interest in the theory of pseudo-BCK-algebras. It appears also that a digraph theory may play a constructive role in this case as it dose in the theory of BCK-algebras.

Keywords

• bck-neighborhood system
• d-algebra