Fuzzy product topologies for \(X\times Y\) (Q1896316)

With \@ as a class of fuzzy topological spaces the authors define the FK\@ topology on a set \(X\) as the fuzzy topology in which \(U\) is fuzzy open iff \(f^{-1} (U)\) is fuzzy open in \(D\) for any \(D \in \@\) and any fuzzy continuous map \(f : D \to X\). Defining different families of fuzzy continuous product maps into \(X \times Y\), fuzzy product topologies are introduced and some interesting properties of such topologies have been studied. In the paper, sufficiency conditions for the product of fuzzy identification maps to be a fuzzy identification map are given.