Deng entropy

Deng entropy
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邓熵

DOI:
10.1016/j.chaos.2016.07.014
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发表时间:
2016-10-01
影响因子:
7.8
通讯作者:
Deng, Yong
Deng, Yong
中科院分区:
数学1区
文献类型:
--
作者:
Deng, Yong

文献摘要

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Dempster-Shafer证据理论因其在处理不确定性问题上的优势而得到了广泛的应用。然而,如何度量证据理论中的不确定性仍然是一个悬而未决的问题。本文的主要贡献是提出了一种新的熵--邓熵来度量基本概率赋值的不确定性。邓熵是香农熵的推广,因为当BPA定义概率测度时,邓熵的值与香农熵的值相同。数值算例表明了邓熵的有效性。(C)2016爱思唯尔有限公司版权所有
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.