Statistical Similarity Analysis Based on Neutrosophic Interval Probability

Abstract

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.