Ordinal relative belief entropy
  Specially customised Entropies are widely applied in measuring the degree of
uncertainties existing in the frame of discernment. However, all of these
entropies regard the frame as a whole that has already been determined which
dose not conform to actual situations. In real life, everything comes in an
order, so how to measure uncertainties of the dynamic process of determining
sequence of propositions contained in a frame of discernment is still an open
issue and no related research has been proceeded. Therefore, a novel ordinal
entropy to measure uncertainties of the frame of discernment considering the
order of confirmation of propositions is proposed in this paper. Compared with
traditional entropies, it manifests effects on degree of uncertainty brought by
orders of propositions existing in a frame of discernment. Besides, some
numerical examples are provided to verify the correctness and validity of the
proposed entropy in this paper.
