Belief and plausibility measures for D numbers
This work addresses foundational issues in uncertainty modeling for researchers in information fusion and decision-making, but it appears incremental as it builds directly on existing D number theory.
The paper tackled the problem of undefined basic concepts in D number theory, a generalization of Dempster-Shafer theory for handling uncertain information with non-exclusiveness and incompleteness, by proposing belief and plausibility measures for D numbers and revealing their basic properties.
As a generalization of Dempster-Shafer theory, D number theory provides a framework to deal with uncertain information with non-exclusiveness and incompleteness. However, some basic concepts in D number theory are not well defined. In this note, the belief and plausibility measures for D numbers have been proposed, and basic properties of these measures have been revealed as well.