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.2025.255768.1485
چکیده

‎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.