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Entropy 2018, 20(10), 722; https://doi.org/10.3390/e20100722

Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs

1,†,* and 2,†
1
Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur 50603, Malaysia
2
School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Both authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 29 July 2018 / Revised: 5 September 2018 / Accepted: 10 September 2018 / Published: 20 September 2018
(This article belongs to the Special Issue Nonadditive Entropies and Complex Systems)
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Abstract

In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recognize the accuracy of CNNs. View Full-Text
Keywords: fractional calculus; fractional operator; fractional entropy; CNNs; analytic function; unit disk fractional calculus; fractional operator; fractional entropy; CNNs; analytic function; unit disk
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Ibrahim, R.W.; Darus, M. Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs. Entropy 2018, 20, 722.

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