An Optimal Transformation of Basic Probability Assignment to Probability

XU Pei-da; HAN De-qiang; DENG Yong

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An Optimal Transformation of Basic Probability Assignment to Probability

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- An Optimal Transformation of Basic Probability Assignment to Probability
- Acta Electronica Sinica Vol. 39, Issue 3A, Pages: 121-125(2011)
- 作者机构：
  
  1. 上海交通大学电子信息与电气工程学院,上海,200240
  2. 西安交通大学综合自动化研究所,陕西,西安,710049
  3. 西南大学计算机与信息科学学院,重庆,400715
  4. 上海交通大学电子信息与电气工程学院上海,200240
  5. 西安交通大学综合自动化研究所陕西西安,710049
  6. 西南大学计算机与信息科学学院重庆,400715
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Published：2011
- 稿件说明：
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XU Pei-da, HAN De-qiang, DENG Yong. An Optimal Transformation of Basic Probability Assignment to Probability[J]. Acta Electronica Sinica, 2011, 39(3A): 121-125.
DOI：

XU Pei-da, HAN De-qiang, DENG Yong. An Optimal Transformation of Basic Probability Assignment to Probability[J]. Acta Electronica Sinica, 2011, 39(3A): 121-125. DOI：

摘要

将基本概率赋值转换为概率在不确定性决策中有重要作用

本文提出了一种基于证据关联系数的最优化转换方法.主要思想是:转换后所得到的概率分布可以视为一个特殊的基本概率赋值函数

从命题的上下概率之间寻优使得被转换的基本概率赋值与转换所得概率之间的证据关联系数最大.将提出的最优化转换方法与常用的Pignistic概率转换方法通过算例进行比较

表明了所提出方法的有效性.

Abstract

One of the key issues in the application of Dempster-Shafer evidence theory is how to make decision based on basic probability assignment (BPA).The usual method is to transform the BPA to probability.In this paper

an optimal transformation method based on a new presented evidence correlation coefficient is proposed.The obtained probability has the maximum correlation coefficient to the original BPA.Numerical examples are used to illustrate the efficiency of the proposed method.

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