\L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras

Document Type : Research Paper

Author

Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Abstract

The notion of (closed) \L{}ukasiewicz fuzzy ideal is introduced, and several properties are investigated.
The relationship between \L{}ukasiewicz fuzzy subalgebra and \L{}ukasiewicz
fuzzy ideal is discussed, and characterization of a \L{}ukasiewicz fuzzy ideal is considered.
Conditions for a \L{}ukasiewicz fuzzy subalgebra to be a \L{}ukasiewicz fuzzy ideal are provided, and
conditions for the ∈-set, q-set and O-set to be ideals are explored.

Keywords

References

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Journal of Algebra and Related Topics
Volume 11, Issue 1
June 2023
Pages 1-14

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