The Use of Uncertain Estimates of the Basic Mass of Probability in Evidence Theory

Evidence theory in comparison with probability theory deals not with events-singletons but with some subsets (focal elements) of relevant entities (worlds). The basic probability mass, related to the focal element, reflects the degree of confidence that the “true world” is in this focal element. In the original evidence theory, estimates of the main probability masses are given in the form of deterministic numbers. The paper presents the extensions of this theory for cases of uncertain estimates of the basic probability masses.