Generated I-fuzzy topological spaces

In this paper, we extend Lowen functors ω and ι to I-fuzzy topological spaces (or Kubiak-Šostak fuzzy topological spaces) and study their properties. Then we introduce generated I-fuzzy topological spaces and weakly generated I-fuzzy topological spaces. Finally, we study the connections on a kind of compactness and separation properties between fuzzifying topological space (X,τ) and its corresponding generated I-fuzzy topological space (X,ω(τ)).