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A modified combination rule in generalized evidence theory

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Abstract

Dempster-Shafer evidence theory is an efficient tool used in knowledge reasoning and decision-making under uncertain environments. Conflict management is an open issue in Dempster-Shafer evidence theory. There is no good practice that can be generally accepted until the presence of generalized evidence theory (GET). GET addresses conflict management in an open world, where the frame of discernment (FOD) is incomplete since uncertainty and lacking knowledge. With the in-depth study, however, the original generalized combination rule (GCR) still has its issue. As an example, based on the original GCR, the system judges whether the FOD is complete or not even though the GBPAs clearly indicate that the proposition is outside of FOD. In this paper, we proposed a modified generalized combination rule (mGCR) in the framework of GET. The mGCR satisfies all properties of GCR in GET, illustrating and modeling the real world more reasonably than the original. Numerical examples demonstrate that mGCR combines GBPAs effectively and has more distinct geometric and physical meaning than the original GCR. Several experiments using real data sets are presented at the end of this paper to evaluate the effectiveness of mGCR.

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Notes

  1. Shafer performed the method in Chapter III of his famous monograph A mathematical theory of evidence[30]

  2. UCI Machine Learning Repository: http://archive.ics.uci.edu/ml/datasets/Iris

  3. UCI Machine Learning Repository: http://archive.ics.uci.edu/ml/datasets/seeds#

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Acknowledgments

We greatly appreciate the editor’s encouragement and the anonymous reviewers’ valuable comments and suggestions to improve this paper. The work is partially supported by National Natural Science Foundation of China (Grant No. 61671384), Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2016JM6018), the Fund of SAST (Program No. SAST2016083), the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (Program No. Z2016122).

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  1. School of Electronics and Information, Northwestern Polytechnical University, Xi’an, Shaanxi Province, 710072, China

    Wen Jiang & Jun Zhan

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  1. Wen Jiang
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Correspondence to Wen Jiang.

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Jiang, W., Zhan, J. A modified combination rule in generalized evidence theory. Appl Intell 46, 630–640 (2017). https://doi.org/10.1007/s10489-016-0851-6

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