文献类型：期刊文献

英文题名：Expression and Analysis of Joint Roughness Coefficient Using Neutrosophic Number Functions

作者：Ye, Jun[1,2];Chen, Jiqian[1];Yong, Rui[1];Du, Shigui[1]

机构：[1]Shaoxing Univ, Key Lab Rock Mech & Geohazards, 508 Huancheng West Rd, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Dept Elect & Informat Engn, 508 Huancheng West Rd, Shaoxing 312000, Peoples R China

年份：2017

卷号：8

期号：2

外文期刊名：INFORMATION

收录：ESCI(收录号：WOS:000407337000032)、EI(收录号：20181805128673)、Scopus(收录号：2-s2.0-85031326589)、WOS

基金：This paper was supported by the National Natural Science Foundation of China (No. 71471172).

语种：英文

外文关键词：joint roughness coefficient (JRC); anisotropy; scale effect; neutrosophic number; neutrosophic number function

外文摘要：In nature, the mechanical properties of geological bodies are very complex, and its various mechanical parameters are vague, incomplete, imprecise, and indeterminate. In these cases, we cannot always compute or provide exact/crisp values for the joint roughness coefficient (JRC), which is a quite crucial parameter for determining the shear strength in rock mechanics, but we need to approximate them. Hence, we need to investigate the anisotropy and scale effect of indeterminate JRC values by neutrosophic number (NN) functions, because the NN is composed of its determinate part and the indeterminate part and is very suitable for the expression of JRC data with determinate and/or indeterminate information. In this study, the lower limit of JRC data is chosen as the determinate information, and the difference between the lower and upper limits is chosen as the indeterminate information. In this case, the NN functions of the anisotropic ellipse and logarithmic equation of JRC are developed to reflect the anisotropy and scale effect of JRC values. Additionally, the NN parameter psi is defined to quantify the anisotropy of JRC values. Then, a two-variable NN function is introduced based on the factors of both the sample size and measurement orientation. Further, the changing rates in various sample sizes and/or measurement orientations are investigated by their derivative and partial derivative NN functions. However, an actual case study shows that the proposed NN functions are effective and reasonable in the expression and analysis of the indeterminate values of JRC. Obviously, NN functions provide a new, effective way for passing from the classical crisp expression and analyses to the neutrosophic ones.