TY - JOUR
T1 - Deng–Fisher information measure and its extensions
T2 - Application to Conway's Game of Life
AU - Kharazmi, Omid
AU - Contreras-Reyes, Javier E.
N1 - Publisher Copyright:
© 2023 Elsevier Ltd
PY - 2023/9
Y1 - 2023/9
N2 - 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.
AB - 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.
KW - Basic probability assignment
KW - Conway's Game of Life
KW - Deng entropy
KW - Fisher information
KW - Frame of discernment
KW - Jensen–Deng–Fisher distance
UR - http://www.scopus.com/inward/record.url?scp=85166246870&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2023.113871
DO - 10.1016/j.chaos.2023.113871
M3 - Article
AN - SCOPUS:85166246870
SN - 0960-0779
VL - 174
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 113871
ER -