Commutative Energetic Subsets of BCK-Algebras

Young Bae Jun; Eun Hwan Roh; Seok Zun Song

doi:10.18778/0138-0680.45.1.04

Authors

Young Bae Jun Gyeongsang National University, Department of Mathematics Education (and RINS)
Eun Hwan Roh Chinju National University of Education, Department of Mathematics Education
Seok Zun Song Jeju National University, Department of Mathematics

DOI:

https://doi.org/10.18778/0138-0680.45.1.04

Keywords:

S-energetic subset, I-energetic subset, C-energetic subset, (anti) fuzzy commutative ideal, (anti) permeable I-value, (anti) permeable C-value

Abstract

The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.

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