Group Action on Fuzzy R-Subgroup of a Near-Ring

Abstract

Meldrum [7] studied new rings and their algebraic links with groups. Osman Kazanci [8] discussed intuitionistic Q-fuzzy R-subgroup in a near-ring, and found few contributions on their union and intersection. Cho and Jun [2] discussed intuitionistic fuzzy right (left) R-subgroup in a near-ring, and analyzed the usual algebraic properties like as the union, intersection, complement and decomposition of intuitionistic fuzzy right (left) R-subgroup in a near-ring. In this paper, group action on a right (respectively left) R subgroup and same type of fuzzy right (respectively left) R-subgroup of a near-ring R are studied. Few characterizations are obtained.