Deng-Fisher information measure and its extensions: Application to Conway's Game of Life

The purpose of this work is to introduce Deng-Fisher information (DFI), Deng-Fisher information distance (DFID) and Jensen-Deng-Fisher (JDF) information distance measures based on the basic probability assignment concept. We also present results associated with these proposed information measures and examine DFI and DFID measures for escort of basic probability assignment functions. For illustrative purpose, we examined Conway's Game of Life cellular automaton and present numerical results in terms of the proposed information measures. Results indicate that JDF information distance measures living cell population dynamics along time.

Automated summary

The purpose of this work is to introduce Deng-Fisher information (DFI), Deng-Fisher information distance (DFID), and Jensen-Deng-Fisher (JDF) information distance measures based on the basic probability assignment concept. Results associated with these measures are presented, and DFI and DFID measures for escort of basic probability assignment functions are examined. The Game of Life cellular automaton by Conway is used for illustration, and numerical results based on the proposed information measures are presented, indicating that JDF information distance measures the dynamics of living cell population along time.