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基于不确定度的基本概率赋值概率转换方法
引用本文:王万请,赵拥军,黄 洁,赖 涛. 基于不确定度的基本概率赋值概率转换方法[J]. 控制与决策, 2013, 28(8): 1214-1218
作者姓名:王万请  赵拥军  黄 洁  赖 涛
作者单位:信息工程大学导航与空天目标工程学院,郑州,450002
基金项目:国家863计划项目(2011AA7031015);军队重点项目
摘    要:基本概率赋值概率转换是合成证据用于辅助决策的主要方法之一。针对现有转换方法中存在的缺少合理转换依据,灵活性和客观性不能兼顾的问题,提出一种基于不确定度加权的概率转换方法。该方法将概率转换视为一种决策过程,选择原BPA与最特异BPA间的Jousselme距离作为不确定性量度,通过“假设-校验”的方法联合求解最特异BPA与转换概率。实验算例表明,所提出方法的处理过程与人们的决策过程一致,概率转换结果合理有效。

关 键 词:D-S理论  基本概率赋值  最特异BPA  概率转换  不确定度
收稿时间:2012-04-24
修稿时间:2012-07-13

Transformation of basic probability assignment to probability based on uncertainty degree
WANG Wan-qing,ZHAO Yong-jun,HUANG Jie,LAI Tao. Transformation of basic probability assignment to probability based on uncertainty degree[J]. Control and Decision, 2013, 28(8): 1214-1218
Authors:WANG Wan-qing  ZHAO Yong-jun  HUANG Jie  LAI Tao
Abstract:

The transformation of basic probability assignment to probability is one of the main methods for combinational
evidence to decision-making assistant. However, the existing methods are lack of rational criterion, and can not get flexibility
and objectivity simultaneously. Therefore, a transformation is presented based on uncertainty degree weighting. The method
takes the process as a decision-making problem, chooses the Jousselme distance between the original BPA and the most
special BPA as the uncertainty measure. The most special BPA and transformation probability are got through united solving
method called “assumption-verification”. The experimental examples show that the proposed method is agreed with our
decision-making custom, and the transformation result is reasonable and effective.

Keywords:Dempster-Shafer theory  basic probability assignment  the most special BPA  probability transformation  uncertainty degree
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