Operations on Soft Sets Revisited

Abstract EN

The concept of soft sets introduced by Molodtsov is a general mathematical tool for dealing with uncertainty.

Just as the conventional set-theoretic operations of intersection, union, complement, and difference, some corresponding operations on soft sets have been proposed.

Unfortunately, such operations cannot keep all classical set-theoretic laws true for soft sets.

In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation.

We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions.