摘要
Paralleling the correspending result in general topology, we have tried to characterize the fuzzy topology via the fuzzy convergence class (J. Math. Anal. Appl., 76(1980), 571), but the result obtained is not perfect. In fact, the range domain of set functions is now extended from {0,1} to the unit interval [0,1]=I. Roughly speaking, the related problem is considered in one more dimensional Space. Moreover, the range domain I is not simply seen as a aet of points, so there is an order relation among the points of I. Therefore the desired characterization in fuzzy topology should be
