Artificial Intelligence

   

Evidential Divergence Measures in Dempster–Shafer Theory

Authors: Fuyuan Xiao

The Dempster–Shafer evidence (DSE) theory, as a generalization of the Bayes probability theory, has more capability to handle the uncertainty in the decision-making problems. In the DSE theory, however, how to measure the divergence between basic belief assignments (BBAs) is still an open issue which has attracted many attentions. On account of this point, in this paper, new evidential divergence measures are developed to measure the difference between BBAs in the DSE theory, called as EDMs. The EDMs consider both of the correlations between BBAs and the subset of set of BBAs, respectively. Consequently, they can provide a much more convincing and effective way to measure the discrepancy between BBAs. In a word, the EDMs as the generalization of the divergence measures in the Bayes probability theory have the universal applicabilities. Additionally, a new Belief–Jensen–Shannon divergence measure is derived based on the EDMs, in which different weights can be assigned to the BBAs involved, so that it provides a promising solution to be applied in solving the problems of decision-making. Finally, numerical examples are illustrated that the proposed methods are more feasible and reasonable to measure the divergence between BBAs in the DSE theory.

Comments: 3 Pages.

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Submission history

[v1] 2019-03-28 21:11:52

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