| 基于区间数的DS证据合成方法研究 |
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| 引用本文： | 叶清,吴晓平,郭正东. 基于区间数的DS证据合成方法研究[J]. 海军工程大学学报, 2009, 21(2) |
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| 作者姓名： | 叶清 吴晓平 郭正东 |
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| 作者单位： | 海军工程大学,电子工程学院,武汉,430033;海军潜艇学院,山东,青岛,266071 |
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| 摘 要： | 在DS证据理论的应用过程中,命题的基本概率赋值函数起到了关键的作用,传统DS证据理论中基本概率赋值函数的取值为[0,1]中的单点值.在很难准确将证据所支持命题的基本概率赋值表示为[0,1]之间的单点值时,可以用区间数形式来表示命题的基本概率赋值.在建立符合运算封闭性的区间数广义求和与广义乘积算子的基础上,定义了基于区间数的基本概率赋值函数、信任函数以及似然函数等重要概念,给出了证据合成规则,进而提出了基于区间数的DS证据合成方法.计算实例表明,与传统DS证据合成方法相比,基于区间数的DS证据合成方法具有更灵活的应用特性和更小的计算复杂度.
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| 关 键 词： | 基本概率赋值 DS证据理论 区间数 |
Combination method for Dempster-Shafer theory of evidence based on interval numbers |
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| YE Qing,WU Xiao-ping,GUO Zheng-dong. Combination method for Dempster-Shafer theory of evidence based on interval numbers[J]. Journal of Naval University of Engineering, 2009, 21(2) |
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| Authors: | YE Qing WU Xiao-ping GUO Zheng-dong |
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| Affiliation: | 1.College of Electronic Engineering;Naval Univ.of Engineering;Wuhan 430033;China;2.Navy Submarine Academy;Qingdao 266071;China |
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| Abstract: | With good performance in dealing with uncertain information,Dempster-Shafer theory of evidence(DST) is used in many practical aspects.And the basic probability assignment(BPA) plays a great role in its application.In the traditional DST,BPA is defined as a real number belonging to the range of .However,it is hard to provide such real numbers accurately in its practical applications.The interval numbers were introduced into DST to solve this problem.Based on the establishment of the general addition and mul... |
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| Keywords: | basic probability assignment Dempster-Shafer theory of evidence interval number |
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