Construction of bck-neighborhood systems in a d-algebra

Hee Sik Kim; J. Neggers; Sun Shin Ahn

doi:10.3934/math.2021547

Construction of bck-neighborhood systems in a d-algebra

Hee Sik Kim, J. Neggers, Sun Shin Ahn

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	9422-9435
Number of pages	14
Journal	AIMS Mathematics
Volume	6
Issue number	9
DOIs	https://doi.org/10.3934/math.2021547
State	Published - 2021

Keywords

BCK-neighborhood system
D-algebra

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10.3934/math.2021547

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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.",

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Construction of bck-neighborhood systems in a d-algebra

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Keywords

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