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Generating method and application of basic probability assignment based on interval number distance and model reliability

  • Soft computing in decision making and in modeling in economics
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Abstract

In the Dempster–Shafer (D–S) evidence theory, how to transform the objective data in reality into the basic probability assignment (BPA) is still an open issue. Based on this problem, a new method of generating BPA based on interval number distance model and reliability is proposed. First, construct the interval number model under each attribute. Second, calculate the interval number distance between the test sample and the interval number model and convert it into the initial basic probability assignment (IBPA). Thirdly, the final BPA is obtained by discounting the IBPA by constructing the comprehensive reliability from the static reliability and dynamic reliability of the interval number model. Finally, the Dempster combination rule is used to fuse the final BPA one by one, and the decision is made according to the fusion result. The ten-fold cross-validation results show that the classification accuracy under the three data sets is higher than other methods, and the classification accuracy of the Iris data set is 0.9733. At the same time, it is verified that the proposed method still has good effectiveness and robustness in the incomplete information environment.

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Acknowledgements

The work is partially supported by the National Natural Science Foundation of China (Grant No. 61771006), Programs for Science and Technology Development in Henan Province of China (Grant Nos. 222102210002, 222102210004) Key Research Projects of University in Henan Province of China (Grant Nos. 20B510001, 21A413002), Innovation and Quality Improvement Program Project for Graduate Education of Henan University (Grant No. SYL20060143).

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  1. Baolin Xie and Yong Jin have contributed equally to this work.

Authors and Affiliations

  1. School of Artificial Intelligence, Henan University, Zhengzhou, 450046, Henan Province, China

    Junwei Li, Baolin Xie, Yong Jin & Lin Zhou

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  1. Junwei Li
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  2. Baolin Xie
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  3. Yong Jin
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  4. Lin Zhou
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Correspondence to Lin Zhou.

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Li, J., Xie, B., Jin, Y. et al. Generating method and application of basic probability assignment based on interval number distance and model reliability. Soft Comput 28, 2353–2365 (2024). https://doi.org/10.1007/s00500-023-09325-z

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