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arXiv 1502.06956cs.AI
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基于新的熵度量的基本概率分配到概率的转换

Transformation of basic probability assignments to probabilities based on a new entropy measure

Southwest University(西南大学);Vanderbilt University School of Medicine(范德堡大学医学院);Vanderbilt University(范德堡大学)

Xinyang Deng, Yong Deng

摘要:

Dempster-Shafer证据理论是处理不确定信息的有效数学工具。在该理论中,基本概率赋值(BPA)是表示和推理不确定性的基本元素。基于BPA的决策问题在Dempster-Shafer证据理论中仍然是一个悬而未决的问题。本文提出了一种基于邓熵的基本概率赋值到概率的转换方法。该方法的基本原理是尽量减小BPA与概率分布之间的不确定性差异。数值例子来说明所提出的方法。

英文摘要:

Dempster-Shafer evidence theory is an efficient mathematical tool to deal with uncertain information. In that theory, basic probability assignment (BPA) is the basic element for the expression and inference of uncertainty. Decision-making based on BPA is still an open issue in Dempster-Shafer evidence theory. In this paper, a novel approach of transforming basic probability assignments to probabilities is proposed based on Deng entropy which is a new measure for the uncertainty of BPA. The principle of the proposed method is to minimize the difference of uncertainties involving in the given BPA and obtained probability distribution. Numerical examples are given to show the proposed approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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