Some notes on the parameterization reduction of soft sets

In this paper we first point out that the result of reductions of soft sets in [P.K. Maji et al., 2002] is incorrect and the definition of reduct-soft-set in [P.K. Maji et al., 2002] is not reasonable which can be illustrated by an example. Then we propose a reasonable definition of parameterization reduction of soft sets by employing the idea of knowledge reduction in rough set theory. At the end of this paper we improve the application of soft sets in a decision making problem as mentioned in [P.K. Maji et al., 2002].