Ranking basic belief assignments in decision making under uncertain
  environment
  Dempster-Shafer theory (D-S theory) is widely used in decision making under
the uncertain environment. Ranking basic belief assignments (BBAs) now is an
open issue. Existing evidence distance measures cannot rank the BBAs in the
situations when the propositions have their own ranking order or their inherent
measure of closeness. To address this issue, a new ranking evidence distance
(RED) measure is proposed. Compared with the existing evidence distance
measures including the Jousselme's distance and the distance between betting
commitments, the proposed RED measure is much more general due to the fact that
the order of the propositions in the systems is taken into consideration. If
there is no order or no inherent measure of closeness in the propositions, our
proposed RED measure is reduced to the existing evidence distance. Numerical
examples show that the proposed RED measure is an efficient alternative to rank
BBAs in decision making under uncertain environment.
