Artificial Intelligence

    

The Information Volume of Uncertain Information: (4) Negation

Authors: Xiaozhuang Gao, Yong Deng

Negation is an important operation on uncertainty information. Based on the information volume of mass function, a new negation of basic probability assignment is presented. The result show that the negation of mass function will achieve the information volume increasing. The convergence of negation is the situation when the Deng entropy is maximum, namely high order Deng entropy. If mass function is degenerated into probability distribution, the negation of probability distribution will also achieve the maximum information volume, where Shannon entropy is maximum. Another interesting results illustrate the situation in maximum Deng entropy has the same information volume as the whole uncertainty environment.

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Submission history

[v1] 2020-06-07 12:18:52

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