After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology induced by a fuzzy metric. In most of the works devoted to this subject the resulting topology is an ordinary, that is a crisp one. Recently some researchers showed interest in the fuzzy-type topologies induced by fuzzy metrics. In particular, in the paper (J.J. Mi~{n}ana, A. {S}ostak, {it Fuzzifying topology induced by a strong fuzzy metric}, Fuzzy Sets and Systems, 6938 DOI information: 10.1016/j.fss.2015.11.005.) a fuzzifying topology ${mathcal T}:2^X o [0,1]$ induced by a fuzzy metric $m: Ximes X imes [0,infty)$ was constructed. In this paper we extend this construction to get the fuzzy topology ${mathcal T}: [0,1]^X o [0,1]$ and study some properties of this fuzzy topology.54A
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机译：在I. Kramosil和J. Michalek提出模糊度量的概念之后，尤其是在A. George和G. Veeramani对其进行修订之后，许多研究的注意力都吸引到了模糊度量引起的拓扑上。在致力于该主题的大多数作品中，生成的拓扑都是普通的，这是一种清晰的拓扑。最近，一些研究人员对由模糊度量诱发的模糊类型拓扑表现出了兴趣。特别是在论文中（JJ Mi 〜{n} ana，A. v {S} ostak，{ it由强模糊度量引起的模糊化拓扑}，模糊集和系统，6938 DOI信息：10.1016 / j .fss.2015.11.005。）模糊模量$ m引起的模糊拓扑$ { mathcal T}：2 ^ X to [0,1] $：X times X times [0， infty）$建造了。在本文中，我们扩展了此构造以获得模糊拓扑$ { mathcal T}：[0,1] ^ X to [0,1] $，并研究了该模糊拓扑的一些性质。54A
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