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Subalgebra and ideal-type hyper values in BCK/BCI-algebras

Authors
Jun, Y.B.Ahn, S.S.
Issue Date
Mar-2020
Publisher
Eudoxus Press, LLC
Keywords
Energetic subset; Hyperfuzzy ideal; Hyperfuzzy subalgebra; Ideal-type hyper value; Right stable subset; Right vanished subset; Subalgebra-type hyper value
Citation
Journal of Computational Analysis and Applications, v.28, no.2, pp 375 - 384
Pages
10
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
28
Number
2
Start Page
375
End Page
384
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/7105
ISSN
1521-1398
1572-9206
Abstract
The notions of subalgebra-type hyper value and ideal-type hyper value are introduced, and related properties are investigated. The relation between subalgebra-type hyper value and ideal-type hyper value is considered. Conditions for a pair (α, β) in [0, 1] × [0, 1] to be subalgebra-type hyper value and ideal-type hyper value are discussed. For a hyperfuzzy structure, conditions for its level sets to be S-energetic, I-energetic, right vanished and right stable are founded. © 2020, Eudoxus Press, LLC. All rights reserved.
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