Under the objective environment, for reasons of the possible instantaneous exception of the BBA (basic belief assignment) constructed from one-off sampling observation data, the objective confidence BBA was proposed, which was associated with the two elements, stable environment and confidence measure.

The premise for applying this rule is the construction of rational basic belief assignment.

In fault diagnosis with D-S for a complex system,such as practical missiles and weapon systems,sometimes the result provided by perts in this field is only some range of the impersonal value or some fuzzy value of basic belief assignment because of the increasing factors that affect basic belief assignment.