A STUDY OF (α1,α2)-FUZZY SUBRINGS AND (α1,α2)-FUZZY IDEALS OF A RING
نویسندگان
1 Department of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, P.O. Box 411037, Pune, India.
2 Department of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, P.O. Box 411037, Pune, India.
doi
10.22044/jas.2024.13111.1721چکیده
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.
