Statistical Similarity Analysis Based on Neutrosophic Interval Probability
The roughness of the rock joints has a significant influence on the mechanical properties and deformation behavior of the rock masses. Due to the significant heterogeneity of the surface roughness of rock joints, there may be considerable variabilities, which makes it difficult to accurately determi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-10-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/StatisticalSimilarityAnalysis1.pdf |
| _version_ | 1828139804003401728 |
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| author | Jiaming Song Rui Yong Yingying Zhang Minna Xu Jun Ye |
| author_facet | Jiaming Song Rui Yong Yingying Zhang Minna Xu Jun Ye |
| author_sort | Jiaming Song |
| collection | DOAJ |
| description | The roughness of the rock joints has a significant influence on the mechanical properties and deformation behavior of the rock masses. Due to the significant heterogeneity of the surface roughness of rock joints, there may be considerable variabilities, which makes it difficult to accurately determine the roughness. The evaluation of the anisotropic characteristics of joint roughness based on classical probability and statistics cannot reflect the vague, incomplete, imprecise, and indeterminate information of the roughness in different orientations. In this original study, we first propose the generalized Dice similarity measures based on neutrosophic interval statistical number (NISN) for evaluating the similarity of the roughness in different orientations. This method was applied to determine the similarity between the roughness along the sliding direction and each measurement direction. The research results show that this method can effectively determine the similarity between the roughness in different orientations. It may help determine the roughness along the potential sliding direction based on the roughness obtained in the direction with better measurement conditions. |
| first_indexed | 2024-04-11T18:58:14Z |
| format | Article |
| id | doaj.art-354797d91e9e48b3b4773303def75e86 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T18:58:14Z |
| publishDate | 2021-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-354797d91e9e48b3b4773303def75e862022-12-22T04:08:07ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-10-01461810.5281/zenodo.5553463Statistical Similarity Analysis Based on Neutrosophic Interval ProbabilityJiaming SongRui YongYingying ZhangMinna XuJun YeThe roughness of the rock joints has a significant influence on the mechanical properties and deformation behavior of the rock masses. Due to the significant heterogeneity of the surface roughness of rock joints, there may be considerable variabilities, which makes it difficult to accurately determine the roughness. The evaluation of the anisotropic characteristics of joint roughness based on classical probability and statistics cannot reflect the vague, incomplete, imprecise, and indeterminate information of the roughness in different orientations. In this original study, we first propose the generalized Dice similarity measures based on neutrosophic interval statistical number (NISN) for evaluating the similarity of the roughness in different orientations. This method was applied to determine the similarity between the roughness along the sliding direction and each measurement direction. The research results show that this method can effectively determine the similarity between the roughness in different orientations. It may help determine the roughness along the potential sliding direction based on the roughness obtained in the direction with better measurement conditions. http://fs.unm.edu/NSS/StatisticalSimilarityAnalysis1.pdfneutrosophic interval probabilityneutrosophic interval statistical numberjoint roughness coefficientsimilarity measure |
| spellingShingle | Jiaming Song Rui Yong Yingying Zhang Minna Xu Jun Ye Statistical Similarity Analysis Based on Neutrosophic Interval Probability Neutrosophic Sets and Systems neutrosophic interval probability neutrosophic interval statistical number joint roughness coefficient similarity measure |
| title | Statistical Similarity Analysis Based on Neutrosophic Interval Probability |
| title_full | Statistical Similarity Analysis Based on Neutrosophic Interval Probability |
| title_fullStr | Statistical Similarity Analysis Based on Neutrosophic Interval Probability |
| title_full_unstemmed | Statistical Similarity Analysis Based on Neutrosophic Interval Probability |
| title_short | Statistical Similarity Analysis Based on Neutrosophic Interval Probability |
| title_sort | statistical similarity analysis based on neutrosophic interval probability |
| topic | neutrosophic interval probability neutrosophic interval statistical number joint roughness coefficient similarity measure |
| url | http://fs.unm.edu/NSS/StatisticalSimilarityAnalysis1.pdf |
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