Commutative Energetic Subsets of BCK-Algebras

Young Bae Jun; Eun Hwan Roh; Seok Zun Song

Bulletin of the Section of Logic (2016)

  • Volume: 45, Issue: 1
  • ISSN: 0138-0680

Abstract

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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.

How to cite

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Young Bae Jun, Eun Hwan Roh, and Seok Zun Song. "Commutative Energetic Subsets of BCK-Algebras." Bulletin of the Section of Logic 45.1 (2016): null. <http://eudml.org/doc/295529>.

@article{YoungBaeJun2016,
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.},
author = {Young Bae Jun, Eun Hwan Roh, Seok Zun Song},
journal = {Bulletin of the Section of Logic},
keywords = {S-energetic subset; I-energetic subset; C-energetic subset; (anti) fuzzy commutative ideal; (anti) permeable I-value; (anti) permeable C-value},
language = {eng},
number = {1},
pages = {null},
title = {Commutative Energetic Subsets of BCK-Algebras},
url = {http://eudml.org/doc/295529},
volume = {45},
year = {2016},
}

TY - JOUR
AU - Young Bae Jun
AU - Eun Hwan Roh
AU - Seok Zun Song
TI - Commutative Energetic Subsets of BCK-Algebras
JO - Bulletin of the Section of Logic
PY - 2016
VL - 45
IS - 1
SP - null
AB - 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.
LA - eng
KW - S-energetic subset; I-energetic subset; C-energetic subset; (anti) fuzzy commutative ideal; (anti) permeable I-value; (anti) permeable C-value
UR - http://eudml.org/doc/295529
ER -

References

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  1. [1] S. M. Hong and Y. B. Jun, Anti fuzzy ideals in BCK-algebras, Kyungpook Math. J. 38 (1998), pp. 145–150. 
  2. [2] Y. Huang, BCI-algebra, Science Press, Beijing, 2006. 
  3. [3] Y. B. Jun, S. S. Ahn and E. H. Roh, Energetic subsets and permeable values with applications in BCK/BCI-algebras, Appl. Math. Sci. 7 (2013), no. 89, pp. 4425–4438. 
  4. [4] Y. B. Jun and E. H. Roh, Fuzzy commutative ideals of BCK-algebras, Fuzzy Sets and Systems 64 (1994), pp. 401–405. 
  5. [5] J. Meng, Commutative ideals in BCK-algebras, Pure Appl. Math. (in China) 9 (1991), pp. 49–53. 
  6. [6] J. Meng and Y. B. Jun, BCK-algebras, Kyungmoonsa Co. Seoul, Korea (1994). 
  7. [7] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), pp. 338–353. 

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