A STUDY OF (α1,α2)-FUZZY SUBRINGS AND (α1,α2)-FUZZY IDEALS OF A RING

Document Type : Original Manuscript

Authors

Department of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, P.O. Box 411037, Pune, India.

Abstract

As an extension to Liu's definition of fuzzy subring and fuzzy ideal, a new notion of $(\alpha_{1}, \alpha_{2})$-fuzzy subring and $(\alpha_{1}, \alpha_{2})$-fuzzy ideal of a ring is introduced. We have provided examples and analyzed their properties. Additionally, we have defined $(\alpha_{1}, \alpha_{2})$-fuzzy coset of a $(\alpha_{1}, \alpha_{2})$-fuzzy ideal of a ring and studied some of its properties.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 1
January 2026
Pages 113-133

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