The Negation of a Basic Probability Assignment

In the field of information science, how to represent the uncertain information is still an open issue. The negation is an important way to represent the information. However, existing negation method has the limitations since it can only be applied to the probability distributions. To address this issue, this paper proposed a novel method to obtain the negation of the basic probability assignment (BPA). Moreover, several methods are used to measure the uncertainty of the BPA after each negation process, and the connection between uncertain information and entropy is discussed in this paper. Furthermore, based on the negation, this paper proposed a method to measure the uncertainty of the BPA. Finally, numerical examples are used to demonstrate the efficiency of the proposed method.