The course aims to introduce and to understand fundamental notions of fuzzy topological spaces which is the generalization of general topological spaces and the course aims to provide a deep ability to search and study on these spaces.

Fuzzy sets, fuzzy point, Fuzzy topological space, neighborhood system of fuzzy topological space, accumulation point, cluster point and closure, Fuzzy subspaces, Base of a Fuzzy topology, Fuzzy continuity in fuzzy topological spaces, Fuzzy product spaces, Fuzzy open and fuzzy closed functions, Fuzzy separation axioms, Fuzzy homeomorphic spaces.