Several new network information dimension definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. This paper proposes a new definition based on Deng entropy and d-summability (a concept from geometric measure theory). We will prove to what extent the new formulation will be useful in the theoretical and applied points of view.
翻译:近几十年来,研究者提出了多种新的网络信息维数定义,拓展了这一开创性工具的适用范围。本文基于邓熵和d-可和性(一个来自几何测度论的概念)提出了一种新定义。我们将从理论和应用两个角度论证该新定义的有用性程度。