Artificial Intelligence

   

A New Belief Entropy: Possible Generalization of Deng Entropy, Tsallis Entropy and Shannon Entropy

Authors: Bingyi Kang, Yong Deng

Shannon entropy is the mathematical foundation of information theory, Tsallis entropy is the roots of nonextensive statistical mechanics, Deng entropy was proposed to measure the uncertainty degree of belief function very recently. In this paper, A new entropy H was proposed to generalize Deng entropy, Tsallis entropy and Shannon entropy. The new entropy H can be degenerated to Deng entropy, Tsallis entropy, and Shannon entropy under different conditions, and also can maintains the mathematical properity of Deng entropy, Tsallis entropy and Shannon entropy.

Comments: 15 Pages.

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Submission history

[v1] 2016-10-03 13:53:10

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