The Maximum Deng Entropy

Deng entropy has been proposed to measure the uncertainty degree of basic probability assignment in evidence theory. In this paper, the condition of the maximum of Deng entropy is discussed. According to the proposed theorem of the maximum Deng entropy, we obtain the analytic solution of the maximum Deng entropy, which yields that the most information volume of Deng entropy is bigger than that of the previous belief entropy functions. Some numerical examples are used to illustrate the basic probability assignment with the maximum Deng entropy.