Intuitionistic Fuzzy Ideals in $(m,n)$-Near Rings
In this article, first we review some basic definitions and results about fuzzy sets and intuitionistic fuzzy sets; then we state the definitions of intuitionistic fuzzy (m, n)-sub near rings and intuitionistic fuzzy ideals of (m, n)-near rings, which are generalizations of intuitionist...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Kashan
2025-06-01
|
| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114915_07ef0af343043eb5dcf6e91720e9edca.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this article, first we review some basic definitions and results about fuzzy sets and intuitionistic fuzzy sets; then we state the definitions of intuitionistic fuzzy (m, n)-sub near rings and intuitionistic fuzzy ideals of (m, n)-near rings, which are generalizations of intuitionistics subrings and intuitionistic fuzzy ideals of rings and near-rings, respectively. We provide several examples for the definitions and discuss and investigate some results in this respect. Finally, we investigate the direct product of intuitionistic fuzzy (m, n)-sub near rings of two (m, n)-near rings and state and prove some results on these topics. |
|---|---|
| ISSN: | 2476-4965 |