  We introduce the concept of a soft ditopological space as the "soft
generalization" of the concept of a ditopological space as it is defined in the
papers by L.M. Brown and co-authors, see e.g. L. M. Brown, R. Erturk, S. Dost,
Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets
and Systems 147 (2) (2004), 17. Actually a soft ditopological space is a soft
set with two independent structures on it - a soft topology and a soft
co-topology. The first one is used to describe openness-type properties of a
space while the second one deals with its closedness-type properties. We study
basic properties of such spaces and accordingly defined continuous mappings
between such spaces.
