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Generalized Z-Entropy (Gze) and Fractal Dimensions |
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PP: 829-834 |
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doi:10.18576/amis/160517
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Author(s) |
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Ismail A. Mageed,
Ashiq Hussain Bhat,
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Abstract |
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| In this paper, we reveal the relation between the most general entropy, namely Generalized Z-Entropy (Gze) and the fractal dimension, a statistical index which is measuring the complexity of a given pattern, embedded in given spatial dimensions. Numerical experiments are undertaken to interpret the behaviour of the derived (Gze) fractal dimension corresponding to its parameters. This work reports the ultimate generalization in the literature. Moreover, this paper unifies information theory with fractal geometry.
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