Abstract
The notions of \({{\mathcal {N}}}\)-ideal of types \((\in , \in )\) and \((\in , \in \! \vee \, {q})\), soft \({\mathcal N}_{\in }\)-set, soft \({{\mathcal {N}}}_{q}\)-set, soft \({{\mathcal {N}}}_{\in \! \vee \, {q}}\)-set, soft \({{\mathcal {N}}}\)-subalgebra and soft \({{\mathcal {N}}}\)-ideal in BCK/BCI-algebra are introduced, and several properties are investigated. Characterizations of \({\mathcal N}\)-subalgebra of types \((\in , \in )\) and \((\in , \in \! \vee \, {q})\), \({{\mathcal {N}}}\)-ideal of types \((\in , \in )\) and \((\in , \in \! \vee \, {q})\), soft \({{\mathcal {N}}}\)-subalgebra and soft \({\mathcal N}\)-ideal are discussed.
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Conceptualization was contributed by Young Bae Jun, Hashem Bordbar; methodology was contributed by Young Bae Jun, Hashem Bordbar; formal analysis and investigation were contributed by Hashem Bordbar, Rajab Ali Borzooei, Borumand Saeid; writing—original draft preparation, was contributed by Hashem Bordbar; writing—review and editing, was contributed by Young Bae Jun; resources were contributed by Hashem Bordbar; supervision was contributed by Young Bae Jun.
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Bordbar, H., Borzooei, R.A., Saeid, A.B. et al. Soft subalgebras and ideals of BCK/BCI-algebras based on \({{\mathcal {N}}}\)-structures. Soft Comput 25, 12789–12795 (2021). https://doi.org/10.1007/s00500-021-06078-5
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DOI: https://doi.org/10.1007/s00500-021-06078-5