The Negation of Basic Probability Assignment

Abstract

In many cases, we obtain information using various methods in order to make better decisions. The everything in nature and society has its negative, the negation of negation has significant meaning. Considering the problem from two aspects, we can get more accurate information. However, in most cases, the information of negation is ignored. Hence, the negation provides a new view to obtain information. However, existing negation method mainly apply to probability distribution. How to get the negation of basic probability assignment (BPA) in Dempster-Shafer (D-S) theory is still an open issue. The paper proposed the new negation method of BPA. Besides, some numerical examples are given to this approach for better understanding. Moreover, in order to demonstrate the efficiency of the proposed method, the paper compared the changes of uncertainty between original and negation by using some uncertain measurement methods. Finally, practical application is used to be discussed the application of proposed method.