*Professor, Department of Science and Humanities, Sri Ranganathar Institute of Engineering and Technology, Athipalayam, Coimbatore – 641 110, Tamilnadu, India
**Professor, Department of Science and Humanities, J J College of Engineering and Technology, Tiruchirappalli – 620 009, Tamilnadu, India
AMS Mathematics Subject Classification: 03E70, 08E40
In this paper, we define a new type of double Markovian group (M(G)-group) action, called double N-fuzzy M(G)-group soft intersection (DNFGSI) action and double N-fuzzy M(G)-ideal soft intersection(DNFGSI) action on a soft set. This new concept illustrates how a soft set effects on a double N-fuzzy M(G)-group in the mean of union and inclusion of sets and its function as bridge among soft set theory, set theory and double N-fuzzy M(G)-group theory. We also obtain some analog of classical double N-fuzzy M(G)-group theoretic concepts for double fuzzy M(G)-group SI-action. Finally, we give the application of SU-actions on double N-fuzzy M(G)-group to M(G)-group theory.
Soft set, M(G)-group, double N-fuzzy M(G)-group SI-action, double N-fuzzy M(G)--ideal SI-action, soft pre-image, soft anti-image, α-inclusion
