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N-group SI-action and its applications to N-group theory

Sezer A S, Atagün A O, Ҫaǧman N

Fasciculi Mathematici

2014

Nr 52

139--153

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.