Deng–Fisher information measure and its extensions: Application to Conway’s Game of Life

Omid Kharazmi and Javier E. Contreras-Reyes

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: 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.

Keywords: Frame of discernment; Basic probability assignment; Deng entropy; Fisher information; Jensen–Deng–Fisher distance; Conway’s Game of Life (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007725

DOI: 10.1016/j.chaos.2023.113871

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