In a fuzzy topology on a setX, the limit of a prefilter (i.e. a filter in the lattice[0,1]X) is calculated from the fuzzy closure. In this way convergence is derived from a fuzzy topology. In our paper we start with any rule ?lim? which to any prefilter??onXassigns, a functionlim??∈[0,1]X. We give necessary and sufficient conditions for the function??→lim??in order that it can be derived from a fuzzy topology.
展开▼
