Fuzzy limit spaces

Abstract We introduce two kinds of convergence of prefilters on a set; fuzzy limitierung and w-fuzzy limitierung, and construct natural function space structures with respect to each convergence. Each notion of convergence of prefilters is shown to be a ‘good’ generalization of those of both fuzzy topology and limitierung. In particular, in fuzzy topological spaces our notion of fuzzy limitierung turns out to be equivalent to that of convergence of prefilters in Lowen [11] and that of fuzzy nets in Pu and Liu [13].