Slope Stability Assessment Method Using the Arctangent and Tangent Similarity Measure of Neutrosophic Num bers

Authors

  • Chaoqun Li Department of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China.
  • Jun Ye Department of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China
  • Wenhua Cui Department of Electrical Engineering and Automation, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China
  • Shigui Du Department of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China

Keywords:

Neutrosophic number, Arctangent similarity measure, Tangent similarity measure, Slope stability, Classification grade

Abstract

 Slope is a typical disaster in open-pit mining. Then it is a kind of non-continuous and uncertain natural geological 
body. In this case, common assessment approaches cannot assess the slope stability problems with both certain and uncertain 
information. Then, a neutrosophic number (NN) can easily represent the certain and uncertain information. Unfortunately NNs 
have not been applied in slope stability analysis so far. Therefore, this paper proposes the arctangent and tangent similarity 
measures of NNs and a slope stability assessment method using the arctangent and tangent similarity measures of NNs. By the 
similarity measure between the classification grades of slope stability and a slope sample with NNs, we can determine the as
sessment grade of the slope sample/case. Then, the assessment results of ten slope samples/cases demonstrate the same as ac
tual grades of the ten slope cases, which indicate the effectiveness and feasibility of the proposed slope stability assessment 
method. The advantages are that the slope stability assessment method based on the arctangent and tangent similarity measures 
of NNs is simple and suitable and can assess slope stability problems in NN setting. 

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Published

2019-06-20

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Chaoqun Li, Jun Ye, Wenhua Cui, & Shigui Du. (2019). Slope Stability Assessment Method Using the Arctangent and Tangent Similarity Measure of Neutrosophic Num bers. Neutrosophic Sets and Systems, 27, 98-103. https://fs.unm.edu/nss8/index.php/111/article/view/4213

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