On the Completion of Fuzzy Normed Linear Spaces in the Sense of Bag and Samanta

In this paper, the completion of fuzzy normed linear space (in the sense of Bag and Samanta) is studied. First, some properties of convergence fuzzy point sequences are discussed. Specially, we give another characterisation of Q-neighbourhood base of $\theta_{\lambda}(\lambda \in(0,1])$ for $l-\text{topology}$ introduced by Saheli. Then we show that each fuzzy normed linear space has an (up to isomorphism) unique complete fuzzy normed linear space which contains an uniformly dense in every stratum subspace isomorphic to it.