Convergence Classes of L -Filters in L , M -Fuzzy Topological Spaces

An - fuzzy topological convergence structure on a set is a mapping which defines a degree in for any - filter (of crisp degree) on to be convergent to a molecule in . By means of - fuzzy topological neighborhood operators, we show that the category of - fuzzy topological convergence spaces is isomorphic to the category of - fuzzy topological spaces. Moreover, two characterizations of - topological spaces are presented and the relationship with other convergence spaces is concretely constructed.