some results on the topology of fuzzy metric type spaces

In this study, we investigate the concept of fuzzy metric type spaces. we show that s < kt implies m(x, y, s) ≤ m(x, y, t). after emphasizing the fact that m(x, y, ) may not be nondecreasing for a fuzzy metric type space, we prove that intersection of two open sets is open. we give examples to show that open balls are not necessarily open and closed balls are not necessarily closed. moreover, we show that these spaces are sequential, fréchet and weakly first countable.