  The concept of fuzzy soft set was introduced for the first time by Maji et
al. in 2002, and was considered sharply from applicable aspects to theoretical
aspects by a wide range of researchers. In this paper the concept of fuzzy soft
norm over fuzzy soft spaces has been considered and some properties of fuzzy
soft normed spaces are studied. We also study the fuzzy soft topology over a
crisp set by using the fuzzy soft subsets of it and the relationship between
fuzzy soft topology and general topology is investigated. Fuzzy soft linear
operator over fuzzy soft spaces is introduced and continuity of such operators
is considered.
