M. Saheli - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

In the current paper, consider the fuzzy normed linear space (X,N) which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuzzy topologies.

Fuzzy norm, fuzzy topology, locally convex topological vector space