Advanced Soft Relation and Soft Mapping

The research data in this manuscript is drawn from four main sections: First, the union and the intersection of an arbitrary family of soft sets are introduced and further results for various soft set operations are obtained. Second, by using the soft relation introduced by Babitha and Sunil, its some important results are obtained. Third, by using the soft mapping by them, its advanced properties are proved and studied. Finally, taken together, these results suggest that there is an association between soft mappings and soft equivalence relations. This organization dispels an overly rigorous or formal view of soft relations and soft mappings and offers some strong pedagogical value in that the discrete discussions can sometimes serve to motivate the more abstract continuous discussions.