Energetic subsets and permeable values with applications in BCK/BCI-algebras

Young Bae Jun; Sun Shin Ahn; Eun Hwan Roh

doi:10.12988/ams.2013.36332

Energetic subsets and permeable values with applications in BCK/BCI-algebras

Young Bae Jun
, Sun Shin Ahn
, Eun Hwan Roh

Department of Mathematics Education

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

11 Scopus citations

Abstract

The notions of energetic (resp. right vanished, right stable) subsets and (anti) permeable value are introduced, and related properties are investigated. Thesenotions are applied to the theory of BCK/BCIalgebras. Regarding (anti) fuzzy subalgebras/ideals in BCK/BCI-algebras, relations between subalgebras/ideals and energetic subsets are investigated.

Original language	English
Pages (from-to)	4425-4438
Number of pages	14
Journal	Applied Mathematical Sciences
Volume	7
Issue number	89-92
DOIs	https://doi.org/10.12988/ams.2013.36332
State	Published - 2013

Keywords

(Anti) permeable value
Energetic subset
Fuzzy subalgebra/ideal
Right stable subsets
Right vanished subset

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10.12988/ams.2013.36332

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title = "Energetic subsets and permeable values with applications in BCK/BCI-algebras",

abstract = "The notions of energetic (resp. right vanished, right stable) subsets and (anti) permeable value are introduced, and related properties are investigated. Thesenotions are applied to the theory of BCK/BCIalgebras. Regarding (anti) fuzzy subalgebras/ideals in BCK/BCI-algebras, relations between subalgebras/ideals and energetic subsets are investigated.",

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AU - Jun, Young Bae

AU - Ahn, Sun Shin

AU - Roh, Eun Hwan

PY - 2013

Y1 - 2013

N2 - The notions of energetic (resp. right vanished, right stable) subsets and (anti) permeable value are introduced, and related properties are investigated. Thesenotions are applied to the theory of BCK/BCIalgebras. Regarding (anti) fuzzy subalgebras/ideals in BCK/BCI-algebras, relations between subalgebras/ideals and energetic subsets are investigated.

AB - The notions of energetic (resp. right vanished, right stable) subsets and (anti) permeable value are introduced, and related properties are investigated. Thesenotions are applied to the theory of BCK/BCIalgebras. Regarding (anti) fuzzy subalgebras/ideals in BCK/BCI-algebras, relations between subalgebras/ideals and energetic subsets are investigated.

KW - (Anti) permeable value

KW - Energetic subset

KW - Fuzzy subalgebra/ideal

KW - Right stable subsets

KW - Right vanished subset

UR - https://www.scopus.com/pages/publications/84886261299

U2 - 10.12988/ams.2013.36332

DO - 10.12988/ams.2013.36332

M3 - Article

AN - SCOPUS:84886261299

SN - 1312-885X

VL - 7

SP - 4425

EP - 4438

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 89-92

ER -

Energetic subsets and permeable values with applications in BCK/BCI-algebras

Abstract

Keywords

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