Remarks on products of \(L\)-fuzzy topological spaces (Q1291539)

Let \((X_t)_{t\in T}\) be a family of fuzzy topological spaces, a necessary and sufficient condition is given for the projection map \(p_t: \prod_{t\in T}X_t\to X_t\) to be open. An example is given to show that \(\overline{\prod_{t\in T} A_t}= \prod_{t\in T} \overline{A_t}\) doesn't hold generally.