Abstract
To solve the contradiction in using Dempster’s method for the combination of highly conflicting evidences, an improved evidence combination method is presented based on Mahalanobis distance weight coefficients. First of all, the similarities between evidences are used as an approach to judge whether conflict exists. If there are more than 3 evidences consisting of conflicts, the Mahalanobis Distance algorithm can be used to calculate the distance between each evidence and the others to obtain the evidences’ weight coefficients, which could be transformed into BPA functions by means of the coefficients, and finally the Dempster’s method is used for the combination. Stimulation results show that this method can deal with conflicting evidences effectively, calculate faster than traditional algorithms, reduce more uncertainty in recognizing results, and retain the advantages of Dempster’s method in tackling non-conflicting evidences.
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References
Chongzhao, H., Hongyan, Z., Zhansheng, D.: Multi-source Information Fusion. Tsinghua University Press, Beijing (2006)
Yan, W., Silian, S., Aiqing, W.: Mathematic Statistics And MATLAB Engineering Data Analysis. Tsinghua University Press, Beijing (2007)
Haiyan, L., Zonggui, Z., Xi, L.: Combination of Conflict Evidences in D-S Theory D-S. J. Journal of University of Electronic Science and Technology of China 37, 701–704 (2008)
Yager, R.R.: On the Dempster–Shafer framework and new combination rules. J. Information Science 41, 93–137 (1989)
Fenghua, L., Lize, G., Yixian, Y.: An Efficient Approach for Conflict Evidence Combination. J. Journal of Beijing University of Posts and Telecommunications 31, 28–32 (2008)
Bin, Q., Xiaoming, S.: A Data Fusion Method for Single Sensor under Interfere environment. J. Journal of Projectiles, Rockets, Missiles and Guidance 27, 305–307 (2006)
Murphy, C.K.: Combining belief functions when evidence conflicts. J. Decision Support Systems 29, 1–9 (2000)
Yong, D., Wenkang, S., Zhenfu, Z.: Efficient Combination Approach of Conflict Evidence. J. Journal Infrared Millimeter and Waves 23, 27–32 (2004)
Quan, P., Shanying, Z., Yongmei, C.: Some Research on Robustness of Evidence Theory. J. ACTA Automatic Si 27, 798–805 (2001)
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© 2011 Springer-Verlag Berlin Heidelberg
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Su, S., Xu, R. (2011). Research on Multi-evidence Combination Based on Mahalanobis Distance Weight Coefficients. In: Balasubramaniam, P. (eds) Control, Computation and Information Systems. ICLICC 2011. Communications in Computer and Information Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19263-0_12
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DOI: https://doi.org/10.1007/978-3-642-19263-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19262-3
Online ISBN: 978-3-642-19263-0
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