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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...
Molodtsov introduced the concept of soft sets. In this paper, we present the definition of soft N-groups and construct some basic properties by using N-groups and Molodtsov's definition of soft sets. We introduce the notions of soft N-subgroups, soft N-ideal, N-idealistic soft N-groups and soft N-group homomorphisms. Moreover, the relations between N-idealistic soft N-groups and soft N-groups are...
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