| 基于区间数的基本概率指派生成方法及应用 |
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| 引用本文： | 康兵义,李娅,邓勇,章雅娟,邓鑫洋.基于区间数的基本概率指派生成方法及应用[J].电子学报,2012,40(6):1092-1096. |
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| 作者姓名： | 康兵义 李娅 邓勇 章雅娟 邓鑫洋 |
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| 作者单位： | 1. 西南大学计算机与信息科学学院,重庆 400715;
2. 上海交通大学电子信息与电气工程学院,上海 200240 |
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| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划，重庆市自然科学基金 |
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| 摘 要： | 应用证据理论的一个关键问题是生成基本概率指派 (BPA),目前如何生成BPA仍然是一个有待解决的问题.本文提出一种基于区间数的BPA生成方法,首先建立样本属性的区间数模型,然后用区间数的距离表示样本属性之间的差异性,在此基础上提出了一种相似度,最后对相似度进行归一化得到BPA.通过鸢尾花数据集 (Iris Data Set) 的分类实验验证了该方法的有效性,结论表明整体识别率为96%.本文方法简单实用,数据样本较少情况下也能有效确定BPA.
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| 关 键 词： | 证据理论 BPA 区间数 相似度 数据融合 分类 |
| 收稿时间： | 2011-07-15 |
Determination of Basic Probability Assignment Based on Interval Numbers and its Application |
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| KANG Bing-yi
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LI Ya
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DENG Yong
,
ZHANG Ya-juan
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DENG Xin-yang.Determination of Basic Probability Assignment Based on Interval Numbers and its Application[J].Acta Electronica Sinica,2012,40(6):1092-1096. |
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| Authors: | KANG Bing-yi LI Ya DENG Yong ZHANG Ya-juan DENG Xin-yang |
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| Affiliation: | 1. School of Computer and Information Science,Southwest University,Chongqing 400715,China;
2. School of Electronics and Information Technology,Shanghai Jiao Tong University,Shanghai 200240,China |
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| Abstract: | One of the open issues of Dempster Shafer theory is how to determine basic probability assignment function(BPA).To solve this problem,a method to determine BPA based on interval numbers is proposed in the paper.At first,the model of interval numbers is constructed with the samples.Then the distance of interval numbers is used to represent difference among the attributes of the samples,so the similarity of them is calculated.At last,the similarity is normalized to get the value of BPA.The effectiveness of this method is proved by classifying the Iris Set.It concludes that the total recognition rate is 96%.This method is simple and practical;it can determine BPA in the case of the little number of the samples. |
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| Keywords: | evidence theory BPA interval number similarity data fusion recognition |
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