Open Access

ARTICLE

Rock Mass Quality Rating Based on the Multi-Criteria Grey Metric Space

Miloš Gligorić^1,*, Zoran Gligorić¹, Saša Jovanović², Suzana Lutovac¹, Dragan Pamučar^3,4, Ivan Janković¹

1 Faculty of Mining and Geology, University of Belgrade, Belgrade, 11000, Serbia
2 Faculty of Technical Sciences, University of Priština, Kosovska Mitrovica, 38220, Serbia
3 Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, Belgrade, 11000, Serbia
4 College of Engineering, Yuan Ze University, Taoyuan City, 320315, Taiwan

* Corresponding Author: Miloš Gligorić. Email:

(This article belongs to the Special Issue: Meta-heuristic Algorithms in Materials Science and Engineering)

Computer Modeling in Engineering & Sciences 2024, 140(3), 2635-2664. https://doi.org/10.32604/cmes.2024.050898

Received 21 February 2024; Accepted 16 April 2024; Issue published 08 July 2024

Abstract

Assessment of rock mass quality significantly impacts the design and construction of underground and open-pit mines from the point of stability and economy. This study develops the novel Gromov-Hausdorff distance for rock quality (GHDQR) methodology for rock mass quality rating based on multi-criteria grey metric space. It usually presents the quality of surrounding rock by classes (metric spaces) with specified properties and adequate interval-grey numbers. Measuring the distance between surrounding rock sample characteristics and existing classes represents the core of this study. The Gromov-Hausdorff distance is an especially useful discriminant function, i.e., a classifier to calculate these distances, and assess the quality of the surrounding rock. The efficiency of the developed methodology is analyzed using the Mean Absolute Percentage Error (MAPE) technique. Seven existing methods, such as the Gaussian cloud method, Discriminant method, Mutation series method, Artificial neural network (ANN), Support vector machine (SVM), Grey wolf optimizer and Support vector classification method (GWO-SVC) and Rock mass rating method (RMR) are used for comparison with the proposed GHDQR method. The share of the highly accurate category of 85.71% clearly indicates compliance with actual values obtained by the compared methods. The results of comparisons showed that the model enables objective, efficient, and reliable assessment of rock mass quality.

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Keywords

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