INTUITIONISTIC FUZZY ASPECTS OF MULTIPLICATION $N$-GROUPS

Intuitionistic fuzzy (IF) sets were first put forward by K. Atanassov as a generalised notation for fuzzy sets in 1983. The concepts of intuitionistic fuzzy near rings, intuitionistic fuzzy $N$-groups, intuitionistic fuzzy $N$-subgroups, intuitionistic fuzzy ideals of $N$-group are described by P. Saikia, L. K. Barthakur and H. K. Saikia in [10, 11]. Fuzzy distributive modules are studied by Sh. B. Semeein and I. M. A. Hadi in [4]. Intuitionistic fuzzy multiplication modules are studied by P. K. Sharma in [13]. We extend the notion of intuitionistic fuzzy multiplication modules to intuitionistic fuzzy multiplication $N$-groups. Here, we define intuitionistic fuzzy multiplication $N$-group and some basic definitions that are needed in this sequel. The relations ship of multiplication $N$-groups, intuitionistic fuzzy multiplication $N$-groups, $DN$-groups and intuitionistic fuzzy $DN$-groups are also studied.