In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of $\mathbb{N}^{l}$ is used to introduce a statistically convergent and Cauchy sequence and to study some basic facts.

中文翻译：

---

基于强拓扑的概率广义度量空间中的统计收敛

本文介绍了度为l的概率g-度量空间的概念，它是概率G-度量空间的推广。然后，通过赋予强拓扑，定义$\mathbb{N}^{l}$的子集A的l维渐近密度，引入统计收敛的柯西数列，研究一些基本事实。