Anti-Fuzzy Ideal in (m, n)-Near Rings
محورهای موضوعی : Transactions on Fuzzy Sets and Systems
Fahimeh Mohammadi
1
,
Bijan Davvaz
2
1 - Department of Mathematical Sciences, Yazd University, Yazd, Iran.
2 - Department of Mathematical Sciences, Yazd University, Yazd, Iran.
کلید واژه: Anti-fuzzy (m, n)-Sbgroup, Anti-fuzzy (m, n)-sub near ring, Anti-fuzzy ideal, Anti-fuzzy prime ideal, Near rings homomorphism.,
چکیده مقاله :
In this article, we introduce and discuss the definitions of fuzzy (m, n)-sub near rings, anti-fuzzy (m, n)- sub near rings, fuzzy ideals, and anti-fuzzy ideals in (m, n)-near rings. We establish several fundamental properties and prove key theorems related to these fuzzy structures. Additionally, illustrative examples are provided to enhance understanding and demonstrate the applicability of the concepts.
In this article, we introduce and discuss the definitions of fuzzy (m, n)-sub near rings, anti-fuzzy (m, n)- sub near rings, fuzzy ideals, and anti-fuzzy ideals in (m, n)-near rings. We establish several fundamental properties and prove key theorems related to these fuzzy structures. Additionally, illustrative examples are provided to enhance understanding and demonstrate the applicability of the concepts.
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