An algebraic result on fuzzy soft sets

The concept of nested soft sets is proposed by extending the definition of nested sets. An equivalence relation is constructed on the set of nested soft sets. Then a novel algebra system is obtained and the union, intersection and complement operations of this algebra system are defined based on the equivalence classes of nested soft sets. Furthermore, one theorem is established to demonstrate that the novel algebra system is isomorphic to the algebra system consisting of all fuzzy soft sets with corresponding operations.