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Entropy 2001, 3(4), 280-292; doi:10.3390/e3040280

A Possible Extension of Shannon's Information Theory

1
Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str.77, D-50937 Köln, Germany
2
Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo,152-8551, Japan
Received: 7 August 2001 / Accepted: 21 October 2001 / Published: 21 November 2001
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Abstract

As a possible generalization of Shannon's information theory, we review the formalism based on the non-logarithmic information content parametrized by a real number q, which exhibits nonadditivity of the associated uncertainty. Moreover it is shown that the establishment of the concept of the mutual information is of importance upon the generalization.
Keywords: information theory; Tsallis entropy; nonadditivity; source coding theorem; mutual information information theory; Tsallis entropy; nonadditivity; source coding theorem; mutual information
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Yamano, T. A Possible Extension of Shannon's Information Theory. Entropy 2001, 3, 280-292.

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