The study investigates the role of group actions on fuzzy R-subgroups within the context of near-rings. Utilizing the notion of fuzzy sets, this research explores the interaction between groups and certain subsets of near-rings, known as R-subgroups. Through the lens of group actions, a deeper understanding of the structural properties and dynamics of fuzzy R-subgroups emerges. Here, we explore group action on a right (respectively left) R subgroup and same type of fuzzy right (respectively left) R-subgroup of a near-ring R, the findings will contribute to the broader field of algebraic structures and provide insights into the interplay between near-rings, groups, and fuzzy set theory
Keywords: Fuzzy Sets, Group Actions, Near-Rings, R-Subgroups, algebraic structures.
