Journal
CHAOS SOLITONS & FRACTALS
Volume 91, Issue -, Pages 549-553Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2016.07.014
Keywords
Uncertainty measure; Entropy; Deng entropy; Shannon entropy; Dempster-Shafer evidence theory
Categories
Funding
- National Natural Science Foundation of China [30400067, 60874105, 61174022, 61573290]
- Shanghai Jiao Tong University [T241460612]
- Program for New Century Excellent Talents in University [NCET-08-0345]
- Shanghai Rising-Star Program [09QA1402900]
- Chongqing Natural Science Foundation for distinguished scientist [CSCT, 2010BA2003]
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Dempster-Shafer evidence theory has been widely used in many applications due to its advantages to handle uncertainty. However, how to measure uncertainty in evidence theory is still an open issue. The main contribution of this paper is that a new entropy, named as Deng entropy, is presented to measure the uncertainty of a basic probability assignment (BPA). Deng entropy is the generalization of Shannon entropy since the value of Deng entropy is identical to that of Shannon entropy when the BPA defines a probability measure. Numerical examples are illustrated to show the efficiency of Deng entropy. (C) 2016 Elsevier Ltd. All rights reserved.
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