N-group SI-action and its applications to N-group theory
2014
scientific article
english
- soft set
- N-group SI-action
- N-ideal SI -action
- soft image
- soft pre-image
- α-inclusion
EN 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.
139 - 153
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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