An interval method to measure the uncertainty of basic probability assignment

Comparing the probability distribution, basic probability assignment in evidence theory is more efficient to deal with uncertain information. However, the uncertainty measure of basic probability assignment is still an open issue. In this paper, a new uncertainty measure based on Tsallis entropy is proposed to solve problems when the basic probability assignments are not given or being transformed into interval probability distribution. The proposed entropy is an extension of Tsallis entropy in continuous space. Some numerical examples are illustrated to show the efficiency of the proposed method.