Anti-Fuzzy Ideal in (m, n)-Near Rings

Subject Areas : 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.

Received: 2025-01-14 Accepted : 2025-04-01 Published : 2025-06-13

Keywords: Anti-fuzzy (m, n)-Sbgroup, Anti-fuzzy (m, n)-sub near ring, Anti-fuzzy ideal, Anti-fuzzy prime ideal, Near rings homomorphism.,

Abstract :

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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