For a commutative unital quantale L and a strong L-fuzzy topological space X, we define the open-hood \(O_x\) for every point \(x\in X\) . Considering \(\{O_x\mid x\in X\}\) as the family of basic granules, we define the upper and lower approximation operators \(\phi ,\psi \) . It is shown that \(\phi ,\psi \) are a kind of a closure operator and an interior operator respectively, and they form an L-Galois adjunction on \(L^X\) . By introducing notions of one zooming-in operator and two zooming out operators, we study the composition and decomposition problems of \(\phi ,\psi \) .
