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

<p>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. Additi...

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Bibliographic Details
Main Authors: Fahimeh Mohammadi, Bijan Davvaz
Format: Article
Language:English
Published: Islamic Azad University, Bandar Abbas Branch 2025-06-01
Series:Transactions on Fuzzy Sets and Systems
Subjects:
Online Access:https://sanad.iau.ir/journal/tfss/Article/1196539
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Summary:<p>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.</p>
ISSN:2821-0131