An Introduction to Fuzzy Soft Tritopological Spaces

The aim of this paper is to introduce the concept of fuzzy soft tritopological Space, Where we define it as a space equipped with three fuzzy soft topologies, i.e. triple of three fuzzy soft topologies t1, t2 and t3 on the same initial universal set u and the set of parameters E And investigate some of its fundamental properties. Also we defined some new kinds of fuzzy soft open sets in fuzzy soft tritopological spaces, which are called fuzzy soft t1 t2 t3-open set, fuzzy soft t1 t2 t3-pre-open set, fuzzy soft t1 t2 t3-semi-open set, fuzzy soft t1 t2 t3-α-open set (fuzzy soft tri-α-open set) and fuzzy soft *.-open set. We can consider this work as an introduction of this concept.