Journal
ENTROPY
Volume 20, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/e20110842
Keywords
Dempster-Shafer (D-S) theory; belief entropy; Deng Entropy; measurement uncertainty; probability interval; belief function
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Funding
- National Natural Science Foundation of China [61573290, 61503237]
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How to measure the uncertainty of the basic probability assignment (BPA) function is an open issue in Dempster-Shafer (D-S) theory. The main work of this paper is to propose a new belief entropy, which is mainly used to measure the uncertainty of BPA. The proposed belief entropy is based on Deng entropy and probability interval consisting of lower and upper probabilities. In addition, under certain conditions, it can be transformed into Shannon entropy. Numerical examples are used to illustrate the efficiency of the new belief entropy in measurement uncertainty.
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