Publications

Linearity in Deng entropy

Published in Chaos, Solitons & Fractals, 2024

This paper conducts an in-depth exploration of the linear relationship between Deng entropy and the scale of the frame of discernment (SFOD), and find that the slope is nothing else but the information fractal dimension of mass function. It shows that entropy can not only increase, but also increase in a linear way, leading to the convenience of approximate calculation.

Recommended citation: Tong Zhao, Zhen Li, and Yong Deng."Linearity in Deng entropy." Chaos, Solitons & Fractals 178 (2024): 114388. https://www.sciencedirect.com/science/article/abs/pii/S0960077923012900

Information fractal dimension of Random Permutation Set

Published in Chaos, Solitons & Fractals, 2023

Inspired by the Rényi information dimension, this paper proposed the information dimension of the permutation mass function in Random permutation Set (RPS), and found the information dimension corresponding to the maximum RPS entropy is 2, which is equivalent to the fractal dimension of Brownian motion and Peano curve.

Recommended citation: Tong Zhao, Zhen Li, and Yong Deng."Information fractal dimension of Random Permutation Set." Chaos, Solitons & Fractals 174 (2023): 113883. https://www.sciencedirect.com/science/article/abs/pii/S0960077923007841