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Classification and Visualization of Surrounding Rock Mass Stability Based on Multi-Dimensional Cloud Model

Liming Xue1,*, Wenlong Shen1, Zhixue Zheng2,*, Jiming Chen1, Hongtao Liu3
1 China University of Mining & Technology (Beijing), Beijing, 100083, China
2 Peking University, Beijing, 100871, China
3 China Three Gorges Projects Development Co., Ltd., Chengdu, 610041, China
* Corresponding Authors: Liming Xue. Email: ; Zhixue Zheng. Email:

Energy Engineering 2021, 118(6), 1799-1810.

Received 22 November 2020; Accepted 19 March 2021; Issue published 10 September 2021


The classification of the stability of surrounding rock is an uncertain system with multiple indices. The Multi-dimensional Cloud Model provides an advanced solution through the use of an improved model of One-dimensional Cloud Model. Setting each index as a one-dimensional attribute, the Multi-dimensional Cloud Model can set the digital characteristics of each index according to the cloud theory. The Multi-dimensional cloud generator can calculate the certainty of each grade, and then determine the stability levels of the surrounding rock according to the principle of maximum certainty. Using this model to 5 coal mine roadway surrounding rock examples and comparing the results with those of One-dimensional and Two-dimensional Cloud Models, we find that the Multi-dimensional Cloud Model can provide a more accurate solution. Since the classification results of the Multi-dimensional Cloud Model are difficult to be presented intuitively and visually, we reduce the Multi-dimensional Cloud Model to One-dimensional and Two-dimensional Cloud Models in order to visualize the results achieved by the Multi-dimensional Cloud Model. This approach provides a more accurate and intuitive method for the classification of the surrounding rock stability, and it can also be applied to other types of classification problems.


Multi-dimensional cloud model; surrounding rock stability; uncertain; visualization

Cite This Article

Xue, L., Shen, W., Zheng, Z., Chen, J., Liu, H. (2021). Classification and Visualization of Surrounding Rock Mass Stability Based on Multi-Dimensional Cloud Model. Energy Engineering, 118(6), 1799–1810.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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