Belief and plausibility measures for D numbers

As a generalization of Dempster-Shafer theory, D number theory provides a framework to deal with uncertain information with non-exclusiven ess and incompleteness. However, some basic concepts in D number theory are not well defined. In this note, the belief and plausibility measures for D nu m-bers have been proposed, and basic properties of these measure s have been revealed as well. Keywords: Belief measure, Plausibility measure, D numbers, Dempster-Shafer theory 1. Introduction Dempster-Shafer evidence theory (DST) [1, 2] is one of the most p opular theories for dealing with uncertain information, and has been widely u sed in various fields [3-5]. But it is limited by some hypotheses and constrain ts that are hardly satisfied in some situation [6-9]. There are two main as pects.