Hyperbolic Sine Similarity M for Open-Pit Mine Slope Stability Classification and Assessment

Abstract

Slope instability is a common geological hazard in open-pit mines, which may cause huge
economic losses and casualties. Thus, it is important to cluster and evaluate the stability of slopes
effectively. This article proposes a hyperbolic sine similarity measure of single-valued neutrosophic
sets (SVNSs) for a netting clustering method and a slope stability evaluation method to cluster and
assess the stability of open-pit mine slopes. This study contains the following main content. First,
we present a hyperbolic sine similarity measure between SVNSs. Second, slope stability impact
factors are fuzzified into SVNSs by the utilization of true, indeterminate, and false membership
functions, and then a netting clustering method using the proposed similarity measure is proposed
to cluster the stability of open-pit mine slopes. Third, we propose a slope stability evaluation method
based on the proposed similarity measure, where we give the SVNS knowledge of risk
grades/patterns based on the clustering results of slope stability and then present the similarity
measure values between the risk grades/patterns and the slope samples to assess that each slope
sample with the larger measure value belongs to the corresponding slope risk grade. Finally, the
proposed netting clustering and evaluation methods are applied to the clustering analysis and
assessment of 20 open-pit mine slope samples to verify the rationality and effectivity of the proposed
approaches in the scenario of SVNSs.