Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass

The slope stability in an open-pit mine is closely related to the production safety and economic benefit of the mine. As a result of the increase in the number and scale of mine slopes, slope instability is frequently encountered in mines. Therefore, it is of scientific and social significance to st...

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Autores principales:	Shan Yang, Zitong Xu, Kaijun Su
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	mine slope stability classification of rock mass extremum entropy variable weight theory matter–element extension grade variable Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/adb5fe8c20074d6b95868b07ce30d49d
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spelling	oai:doaj.org-article:adb5fe8c20074d6b95868b07ce30d49d2021-11-11T18:20:25ZVariable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass10.3390/math92128072227-7390https://doaj.org/article/adb5fe8c20074d6b95868b07ce30d49d2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2807https://doaj.org/toc/2227-7390The slope stability in an open-pit mine is closely related to the production safety and economic benefit of the mine. As a result of the increase in the number and scale of mine slopes, slope instability is frequently encountered in mines. Therefore, it is of scientific and social significance to strengthen the study of the stability of the slope rock mass. To accurately classify the stability of the slope rock mass in an open-pit mine, a new stability evaluation model of the slope rock mass was established based on variable weight and matter–element extension theory. First, based on the main evaluation indexes of geology, the environment, and engineering, the stability evaluation index system of the slope rock mass was constructed using the corresponding classification criteria of the evaluation index. Second, the constant weight of the evaluation index value was calculated using extremum entropy theory, and variable weight theory was used to optimize the constant weight to obtain the variable weight of the evaluation index value. Based on matter–element extension theory, the comprehensive correlation between the upper and lower limit indexes in the classification criteria and each classification was calculated, in addition to the comprehensive correlation between the rock mass indexes and the stability grade of each slope. Finally, the grade variable method was used to calculate the grade variable interval corresponding to the classification criteria of the evaluation index and the grade variable value of each slope rock mass, so as to determine the stability grade of the slope rock. The comparison results showed that the classification results of the proposed model are in line with engineering practice, and more accurate than those of the hierarchical-extension model and the multi-level unascertained measure-set pair analysis model.Shan YangZitong XuKaijun SuMDPI AGarticlemine slopestability classification of rock massextremum entropyvariable weight theorymatter–element extensiongrade variableMathematicsQA1-939ENMathematics, Vol 9, Iss 2807, p 2807 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	mine slope stability classification of rock mass extremum entropy variable weight theory matter–element extension grade variable Mathematics QA1-939
spellingShingle	mine slope stability classification of rock mass extremum entropy variable weight theory matter–element extension grade variable Mathematics QA1-939 Shan Yang Zitong Xu Kaijun Su Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
description	The slope stability in an open-pit mine is closely related to the production safety and economic benefit of the mine. As a result of the increase in the number and scale of mine slopes, slope instability is frequently encountered in mines. Therefore, it is of scientific and social significance to strengthen the study of the stability of the slope rock mass. To accurately classify the stability of the slope rock mass in an open-pit mine, a new stability evaluation model of the slope rock mass was established based on variable weight and matter–element extension theory. First, based on the main evaluation indexes of geology, the environment, and engineering, the stability evaluation index system of the slope rock mass was constructed using the corresponding classification criteria of the evaluation index. Second, the constant weight of the evaluation index value was calculated using extremum entropy theory, and variable weight theory was used to optimize the constant weight to obtain the variable weight of the evaluation index value. Based on matter–element extension theory, the comprehensive correlation between the upper and lower limit indexes in the classification criteria and each classification was calculated, in addition to the comprehensive correlation between the rock mass indexes and the stability grade of each slope. Finally, the grade variable method was used to calculate the grade variable interval corresponding to the classification criteria of the evaluation index and the grade variable value of each slope rock mass, so as to determine the stability grade of the slope rock. The comparison results showed that the classification results of the proposed model are in line with engineering practice, and more accurate than those of the hierarchical-extension model and the multi-level unascertained measure-set pair analysis model.
format	article
author	Shan Yang Zitong Xu Kaijun Su
author_facet	Shan Yang Zitong Xu Kaijun Su
author_sort	Shan Yang
title	Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
title_short	Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
title_full	Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
title_fullStr	Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
title_full_unstemmed	Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass
title_sort	variable weight matter–element extension model for the stability classification of slope rock mass
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/adb5fe8c20074d6b95868b07ce30d49d
work_keys_str_mv	AT shanyang variableweightmatterelementextensionmodelforthestabilityclassificationofsloperockmass AT zitongxu variableweightmatterelementextensionmodelforthestabilityclassificationofsloperockmass AT kaijunsu variableweightmatterelementextensionmodelforthestabilityclassificationofsloperockmass
_version_	1718431904855752704

Variable Weight Matter–Element Extension Model for the Stability Classification of Slope Rock Mass

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