The restrictive sets and their applications to soft group theory

Abstract

In this paper, firstly four diferent restrictions, alpha-including, alpha- covered, alpha-intersection and alpha-union sets of a soft set over an initial universe U obtained by using a non-empty subset alpha of U are defined and examined in detail. Then, an application of alpha-intersection sets over a soft intersection groups is given. Here, the novel concept of the soft int-subgroup generated by alpha subset U of a group is introduced and some properties are studied. The generators of soft intersections and products of soft int-subgroups are given. Some related properties about generators of soft int-subgroups are investigated and shown by several examples.