INFORMATION FRACTAL DIMENSION OF MASS FUNCTION

DOI10.1142/S0218348X22501109MaRDI QIDQ5044605

Chenhui Qiang, Yong Deng, Kang Hao Cheong

Publication date: 2 November 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04246

zbMATH Keywords

time seriesprobability distributionShannon entropyfractalinformation dimensionmass functionDeng entropySierpiski triangle

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (9)

Information dimension based on \textit{Deng} entropy ⋮ A novel quantum belief entropy for uncertainty measure in complex evidence theory ⋮ An ambiguity-measure-based complex belief entropy in complex evidence theory ⋮ Derive power law distribution with maximum Deng entropy ⋮ A similarity measure of complex-valued evidence theory for multi-source information fusion ⋮ Complex-valued Rényi entropy ⋮ A multi-granularity distance with its application for decision making ⋮ A generalized Rényi divergence for multi-source information fusion with its application in EEG data analysis ⋮ A generalized Hellinger distance for multisource information fusion and its application in pattern classification

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Hausdorff dimension of perturbed Cantor sets without some boundedness condition
• Fractal dimension and Wada measure revisited: no straightforward relationships in NDDS
• The box dimensions of inhomogeneous self-conformal sets with overlaps
• General fractal topography: an open mathematical framework to characterize and model mono-scale-invariances
• A unified formulation of entropy and its application
• On the construction, properties and Hausdorff dimension of random Cantor one \(p^{th}\) set
• Average entropy: measurement of disorder for cardiac RR interval signals
• Bounds of the Hausdorff measure of the Koch curve
• Rényi Divergence and Kullback-Leibler Divergence
• On the dimension and entropy of probability distributions
• Stochastic resonance induced by an unknown linear frequency modulated signal in a strong noise background
• Probability Theory
• The box-counting dimension of random box-like self-affine sets
• THE POWER FUNCTION HIDDEN IN THE VULNERABILITY OF FRACTAL COMPLEX NETWORKS
• INFORMATION VOLUME FRACTAL DIMENSION
• THE HOSOYA INDEX OF GRAPHS FORMED BY A FRACTAL GRAPH
• THE SIERPINSKI TRIANGLE PLANE
• Upper and Lower Probabilities Induced by a Multivalued Mapping

This page was built for publication: INFORMATION FRACTAL DIMENSION OF MASS FUNCTION