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The concept of fuzzy set was introduced by Zadeh in his classical paper (Zadeh, 1965). Balasubramaniam and Sundaram defined generalized fuzzy closed sets in a fuzzy topological space and introduced certain types of fuzzy continuous functions between fuzzy topological spaces.(X, T) and (Y, S) denotes a fuzzy topological spaces.Also in this book I introduced different types of open sets and closed sets in fuzzy topological spaces.I think it will be very useful to co higher research in this field.