Korean J. Math. Vol. 28 No. 1 (2020) pp.89-104
DOI: https://doi.org/10.11568/kjm.2020.28.1.89

On $KU$-Algebras containing $(\alpha, \beta)$-US soft sets

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Published: Mar 30, 2020
Keywords:
KU-algebra, $(\alpha, \beta)$-US sets, \beta)$-US subalgebras, \beta)$-US commutative ideals
Mathematics Subject Classification:
06F35, 94B60

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Moin A. Ansari
Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University, Jazan, KSA
Ali N. A. Koam
Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University, Jazan, KSA
Azeem Haider
Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University, Jazan, KSA

Abstract

In this paper, we connect $(\alpha, \beta)$ union soft sets and their ideal related properties with $KU$-algebras. In particular, we will study $(\alpha, \beta)$-union soft sets, $(\alpha, \beta)$-union soft ideals, $(\alpha, \beta)$-union soft commutative ideals and ideal relations in $KU$-algebras. Finally, a characterization of ideals in $KU$-algebras in terms of $(\alpha, \beta)$-union soft sets have been provided.


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