Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first recall several operations on soft sets introduced by Maji et al. in a previous paper. Furthermore, we give some new operations such as the product, the anty-product of two soft sets, the inverse, the image and the preimage of a soft set. Moreover, we obtain the basic properties of the various operations of soft sets.
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