A function f : (X, μ) → (Y, σ) is said to be faintly (μ, σ)-continuous if f –1(V) is μ-open in X for every θ-open set V of Y. In this paper, the authors introduce and investigate some types of faintly (μ-σ)-continuous functions on generalized topological space (X, μ) into the topological space (Y, σ). Some characterizations and properties of such a type of functions are discussed
