Tytuł pozycji:
N-group SI-action and its applications to N-group theory
In this paper, we define a new concept, called N-group soft intersection action (SI) on a soft set. This new notion gathers soft set theory, set theory and N-group theory together and it shows how a soft set effects on an N-group structure in the mean of intersection and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical N-group theoretic concepts for N-group SI-actions. Finally, we give the applications of N-group SI-actions to N-group theory.