Commutative Energetic Subsets of BCK-Algebras
Bulletin of the Section of Logic, Tome 45 (2016) no. 1
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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.
Keywords:
S-energetic subset, I-energetic subset, C-energetic subset, (anti) fuzzy commutative ideal, (anti) permeable I-value, (anti) permeable C-value
@article{BSL_2016_45_1_a2,
author = {Jun, Young Bae and Roh, Eun Hwan and Song, Seok Zun},
title = {Commutative {Energetic} {Subsets} of {BCK-Algebras}},
journal = {Bulletin of the Section of Logic},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BSL_2016_45_1_a2/}
}
Jun, Young Bae; Roh, Eun Hwan; Song, Seok Zun. Commutative Energetic Subsets of BCK-Algebras. Bulletin of the Section of Logic, Tome 45 (2016) no. 1. http://geodesic.mathdoc.fr/item/BSL_2016_45_1_a2/