Fuzzifying Topology Generated by Fuzzy Metric

Abstract

The purpose of this study is to present a new method to generate a fuzzifying topology with fuzzy metrics in Kramosil and Michalek sense. For this, with the help of fuzzy metric, we obtained parameter-dependent crisp topology bases and thus a family of topologies. This family consists of the level topologies of the fuzzifying topology to be generated. Then, we studied the continuity of transformations between generated fuzzifying topologies and the convergence of sequences on the generated fuzzifying topology.