Developing a hybrid model of information entropy and unascertained measurement theory for evaluation of the excavatability in rock mass

Author(s):  
Jian Zhou ◽  
Chao Chen ◽  
Danial Jahed Armaghani ◽  
Shuyi Ma



Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 691 ◽  
Author(s):  
Li Kong ◽  
Hao Pan ◽  
Xuewei Li ◽  
Shuangbao Ma ◽  
Qi Xu ◽  
...  

Measurement is a key method to obtain information from the real world and is widely used in human life. A unified model of measurement systems is critical to the design and optimization of measurement systems. However, the existing models of measurement systems are too abstract. To a certain extent, this makes it difficult to have a clear overall understanding of measurement systems and how to implement information acquisition. Meanwhile, this also leads to limitations in the application of these models. Information entropy is a measure of information or uncertainty of a random variable and has strong representation ability. In this paper, an information entropy-based modeling method for measurement system is proposed. First, a modeling idea based on the viewpoint of information and uncertainty is described. Second, an entropy balance equation based on the chain rule for entropy is proposed for system modeling. Then, the entropy balance equation is used to establish the information entropy-based model of the measurement system. Finally, three cases of typical measurement units or processes are analyzed using the proposed method. Compared with the existing modeling approaches, the proposed method considers the modeling problem from the perspective of information and uncertainty. It focuses on the information loss of the measurand in the transmission process and the characterization of the specific role of the measurement unit. The proposed model can intuitively describe the processing and changes of information in the measurement system. It does not conflict with the existing models of the measurement system, but can complement the existing models of measurement systems, thus further enriching the existing measurement theory.



2020 ◽  
Vol 38 (2) ◽  
pp. 1865-1875
Author(s):  
Ailing Li ◽  
Jixiong Zhang ◽  
Nan Zhou ◽  
Meng Li ◽  
Weiqing Zhang


2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Changfu Huang ◽  
Shuguang Tian ◽  
Qun Li ◽  
Jun Huang

A method for classification of the tunnel wall rock is established based on the rough set theory and unascertained measurement theory. The saturated uniaxial compressive strength, rock mass integrity index, structural surface condition, seepage measurement of groundwater, and the angle between the hole axis and main structural surface are selected as the evaluation indexes. The problem of weight coefficients for these evaluation indexes is converted into that of significance estimating on the attributes in the rough set theory. The proposed method is verified by the wall rock data of Yuanyanghui tunnel. The results show that the proposed method has an excellent performance in good agreement with the practical situation of wall rock and is feasible to classify the wall rock. Finally, the proposed method is applied to Xihualing tunnel of Zhu-Yong Expressway. The results are basically the same as those from Delphi-ideal point method, set pair analysis method, and the actual situation, which proves that the rough set theory and unascertained measurement theory are effective for classification of the wall rock.



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