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A new interval constructed belief rule base with rule reliability

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Abstract

The combination rule explosion problem of belief rule base (BRB) is a difficult problem to solve in complex systems and has attracted wide attention. A new interval-constructed belief rule base with rule reliability (IBRB-r) is proposed to solve the problem of combination rule explosion in belief rule base. This model not only proposes a new interval rule construction method, but also designs a new interval rule inference process with rule reliability. This approach can not only clearly indicate the contribution degree of each rule to the model, but also solve the problem of combination rule explosion. This is because combining rules in interval addition form avoids the exponential growth in the number of rules caused by combining rules in Cartesian product form. Therefore, IBRB-r is more suitable for complex system modeling. In the case study section, the structural safety assessment of liquid launch vehicle is introduced to conduct a concrete example analysis. Experimental results show that the proposed model achieves over 95% accuracy under the liquid rocket dataset and has relatively higher accuracy under other datasets as well.

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Data availability

The datasets used in the comparison trial section can be downloaded at the following link: https://aistudio.baidu.com/aistudio/datasetdetail/172847.

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Acknowledgements

Special thanks to my supervisor Mr. He for his careful guidance on this paper. From paper experiment to theory application, Mr. He gave me detailed guidance and spent a lot of energy. Thanks to the journal editors and reviewers for taking the time to review and comment on this paper, which is very helpful to improve the paper.

Funding

This work was supported in part by the Postdoctoral Science Foundation of China under Grant No. 2020M683736, in part by the Teaching reform project of higher education in Heilongjiang Province under Grant Nos. SJGY20210456 and SJGY20210457, in part by the Natural Science Foundation of Heilongjiang Province of China under Grant No. LH2021F038, and in part by the graduate academic innovation project of Harbin Normal University under Grant Nos. HSDSSCX2022-17, HSDSSCX2022-18 and HSDSSCX2022-19.

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  1. Xiaoyu Cheng and Peng Han have contributed equally to this work.

Authors and Affiliations

  1. School of Computer Science and Information Engineering, Harbin Normal University, Harbin, 150025, China

    Xiaoyu Cheng, Peng Han, Wei He & Guohui Zhou

  2. High-Tech Institute of Xi’an, Xi’an, 710025, Shanxi, China

    Wei He

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  1. Xiaoyu Cheng
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Contributions

Conceptualization was done by XC and WH; methodology was done by XC and WH; validation was done by XC and PH; formal analysis was done by XC; investigation was done by PH; data curation was done by PH; writing—original draft preparation were done by XC; writing review and editing were done by XC and WH; visualization was done by YC; supervision was done by WH and GZ.

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Correspondence to Wei He.

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Cheng, X., Han, P., He, W. et al. A new interval constructed belief rule base with rule reliability. J Supercomput 79, 15835–15867 (2023). https://doi.org/10.1007/s11227-023-05284-2

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