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Information Sciences Letters

Information Sciences Letters

Abstract

In this paper, we define a new type of N-group action, called N-group soft union (SU) action on a soft set. This new concept illustrates how a soft set effects on an N-group structure in the mean of union and inclusion of sets and it functions as a bridge among soft set theory, set theory and N-group theory. Furthermore, we derive its basic properties with illustrative examples, investigate the relationship between N-group SI-action defined in [32] and N-group SU-action and obtain some analog of classical N-group theoretic concepts for N-group SU-action. Finally, we give the applications of N-group SU-actions to N-group theory.

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