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论文:2013,Vol:31,Issue(2):295-299 |
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引用本文： |
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蒋雯, 吴翠翠, 贾佳, 李珍键. D-S证据理论中的基本概率赋值转换概率方法研究[J]. 西北工业大学 |
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Jiang Wen, Wu Cuicui, Jia Jia, Li Zhenjian. A Probabilistic Transformation of Basic Probability Assignment (BPA) in D-S Evidence Theory[J]. Northwestern polytechnical university |
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| D-S证据理论中的基本概率赋值转换概率方法研究 |
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| 蒋雯, 吴翠翠, 贾佳, 李珍键 |
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| 西北工业大学 电子信息学院, 陕西 西安 710072 |
| 摘要: |
| D-S证据理论的基本概率赋值(BPA)能够有效地表示和处理不确定信息,在不确定信息处理中得到了越来越多的应用。但是如何基于BPA做出决策依然是一个有待解决的问题,将BPA转化为概率函数进行决策是一个简单可行的方法。文章基于证据理论中命题的信度函数和似真函数提供的信息,提出了一种新的基本概率赋值转换概率方法,该方法相比于现有经典TBM模型中Pignistic概率转换和基于似真函数的转换,可以更有效地利用系统已知的信息,实现基本概率赋值到概率分布的合理转换。算例表明了所提出方法的有效性。 |
| 关键词:
决策
概率
不确定性
证据理论
基本概率赋值
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| A Probabilistic Transformation of Basic Probability Assignment (BPA) in D-S Evidence Theory |
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| Jiang Wen, Wu Cuicui, Jia Jia, Li Zhenjian |
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| Department of Electronics Engineering,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| The BPA in the Dempster-Shafer(D-S) evidence theory can effectively represent and process the uncer-tainty information and it has been widely used in various fields. But the problem of how to make decisions based onBPA still needs to be solved. To transform BPA into probability function is a simple and feasible solution,so wepropose what we believe to be a new method for transforming BPA into probability by utilizing the information con-tained in the belief function and plausibility function of the propositions in the D-S evidence theory. Compared withthe existing Pignistic Probability Transform based on the transferable belief model and the plausibility function trans-form,our probability transformation method can more effectively utilize the known information of a target identifica-tion system and achieve the reasonable transformation from BPA to probability distribution. A numerical example al-so verifies that our method can measure the effects of the belief function and the plausibility function on the distribu-tion of BPA to the multi-subset propositions. All these indicate that our method is effective. |
| Key words:
decision-making
probability
uncertainty
D-S evidence theory
basic probability assignment (BPA)
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| 收稿日期: 2012-05-15
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(60904099、61104214);航空科学基金(2011ZC53041);西北工业大学基础研究基金JC20120235)资助 |
| 通讯作者:
Email： |
| 作者简介: 蒋雯(1974-),女,西北工业大学副教授、博士,主要从事信息融合、智能信息处理的研究。
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| 相关功能 |
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| 作者相关文章 |
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| 蒋雯 在本刊中的所有文章 |
| 吴翠翠 在本刊中的所有文章 |
| 贾佳 在本刊中的所有文章 |
| 李珍键 在本刊中的所有文章 |
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参考文献: |
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[2] Shafer G. A Mathematical Theory of Evidence. NJ:Princeton University Press, 1976
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[7] 邓 勇, 王 栋, 李齐等. 一种新的证据冲突分析方法. 控制理论与应用, 2011, 28(6): 839-844Dong Yong,Wang Dong,Li Qi,et al. A New Method to Analyze Evidence Conflict. Control Theory ＆ Applications, 2011, 28(6): 839-844 (in Chinese)
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[9] Barry R Cobba,Prakash P Shenoyb. On the Pla-Usibility Transformation Method for Translatin-G Belief Function Models toProbability Model-S. International Journal of Approximate Reasoning, 2006, 41(3): 314-330 |
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