Some observations on a fuzzy metric space

[EN] Let (X, d) be a metric space. In this paper we provide some observations about the fuzzy metric space in the sense of Kramosil and Michalek (Y, N, ∧), where Y is the set of non-negative real numbers [0, ∞[ and N(x, y, t) = 1 if d(x, y) ≤ t and N(x, y, t) = 0 if d(x, y) ≥ t.