Intuitionistic Fuzzy Ideals in $(m,n)$-Near Rings
نویسندگان
1 Department of Mathematical Sciences, Yazd University, Yazd, Iran
2 Department of Mathematical Sciences, Yazd University, Yazd, Iran
doi
10.22052/mir.2025.255768.1485چکیده
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.