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  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.
Sezgin, Aslıhan; Osman Atagun, kın; and Cagman, Naim
"N-Group SU-Action and its Applications to N-Group Theory,"
Information Sciences Letters: Vol. 5
, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol5/iss3/2