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Determinging BPA under uncertainty environments and its application in data fusion

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Journal of Electronics (China)

Abstract

Dempster-Shafer (DS) theory of evidence has been widely used in many data fusion application systems. However, how to determine basic probability assignment, which is the main and the first step in evidence theory, is still an open issue. In this paper, a new method to obtain Basic Probability Assignment (BPA) is proposed based on the similarity measure between generalized fuzzy numbers. In the proposed method, species model can be constructed by determination of the min, average and max value to construct a fuzzy number. Then, a new Radius Of Gravity (ROG) method to determine the similarity measure between generalized fuzzy numbers is used to calculate the BPA functions of each instance. Finally, the efficiency of the proposed method is illustrated by the classification of Iris data.

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Authors and Affiliations

  1. School of Electronics and Information Technology, Shanghai Jiaotong University, Shanghai, 200240, China

    Yong Deng, Wen Jiang, Xiaobin Xu, Qi Li & Dong Wang

  2. School of Electronics and Information, Northwestern Polytechnical University, Xi’an, 710072, China

    Wen Jiang

  3. School of Automation, Hangzhou Dianzi University, Hangzhou, 310018, China

    Xiaobin Xu

Authors
  1. Yong Deng
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  2. Wen Jiang
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  3. Xiaobin Xu
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  4. Qi Li
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  5. Dong Wang
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Corresponding author

Correspondence to Yong Deng.

Additional information

Supported by National High Technology Project (863)(No. 2006AA02Z320), the National Natural Science Foundation of China (No.30700154, No.60874105), Zhejiang Natural Science Foundation (No.Y107458, RY1080422), the School Youth Found of Shanghai Jiaotong University.

Communication author: Deng Yong, born in 1975, male, Ph.D. School of Electronics and Information Technology, Shanghai Jiaotong University, Shanghai 200240, China.

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Deng, Y., Jiang, W., Xu, X. et al. Determinging BPA under uncertainty environments and its application in data fusion. J. Electron.(China) 26, 13–17 (2009). https://doi.org/10.1007/s11767-008-0121-9

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  • DOI: https://doi.org/10.1007/s11767-008-0121-9

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