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Soju structures with applications in BCK/BCI-algebras

Authors
Jun, Young BaeSong, Seok-ZunRoh, Eun Hwan
Issue Date
Dec-2023
Publisher
Springer Science and Business Media Deutschland GmbH
Keywords
soju ideal; Soju subalgebra
Citation
Afrika Matematika, v.34, no.4
Indexed
SCOPUS
ESCI
Journal Title
Afrika Matematika
Volume
34
Number
4
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68777
DOI
10.1007/s13370-023-01125-w
ISSN
1012-9405
2190-7668
Abstract
A new structure, so called soju structure, is introduced by combining intuitionistic fuzzy set and soft set, which is applied to BCK/BCI-algebras. The notions of soju subalgebra and soju ideal in BCK/BCI-algebras are introduced, and related properties are investigated. A strong soju subalgebra in BCI-algebras is introduced, and a condition for a soju subalgebra to be strong is provided. Relations between soju subalgebra and soju ideal are discussed, and conditions for a soju structure to be a soju ideal in a BCK-algebra are considered. Characterizations of soju subalgebra and soju ideal are considered, and the homomorphic image and preimage of soju subalgebra is discussed. © 2023, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.
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