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首页> 外文期刊>Mathematical Problems in Engineering >A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability
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A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability

机译：集对分析与可拓学相结合的围岩稳定性评价新模型

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摘要

The evaluation of surrounding rock stability is a complex problem involving numerous uncertainty factors. Here, based on set pair analysis (SPA) coupled with extenics, a novel model, considering incompatibility, certainty, and uncertainty of evaluation indicators, was presented to analyze the surrounding rock stability. In this model, extension set was first utilized to describe the actual problem of surrounding rock stability. Then, the connectional membership degree of the set pair was introduced to compare themeasured values with classification standards fromthree aspects embracing identity, discrepancy, and contrary. Also, according to identity-discrepancy-contrary (IDC) analysis in the universe of the extension set, the connection numbers were proposed to specify the connectional membership degree of an evaluation indicator to each class. Combined with the weights of evaluation indicators, integrated connectional membership degrees were calculated to determine their classes of rock stability. Finally, a case study and comparison with variable fuzzy set method, triangular fuzzy number method, and basic quality (BQ) grading method were performed to confirm the validity and reliability of the proposed model. The results show that this model can effectively and quantitatively express the differences within a group, transformation of different groups, and uncertainty of complex indicators as a whole.
机译：围岩稳定性的评估是一个复杂的问题，涉及许多不确定因素。在此基础上，基于集合对分析（SPA）结合可拓性，提出了一种新模型，该模型考虑了评估指标的不兼容性，确定性和不确定性，从而分析了围岩稳定性。在该模型中，首先使用扩展集来描述围岩稳定性的实际问题。然后，介绍了集合对的连接隶属度，从包含身份，差异和相反的三个方面比较了测量值与分类标准。此外，根据扩展集范围内的身份差异冲突（IDC）分析，提出了连接编号，以指定每个类别的评估指标的连接隶属度。结合评估指标的权重，计算出综合的连接隶属度，以确定其岩石稳定性等级。最后，通过变量模糊集方法，三角模糊数方法和基本质量（BQ）分级方法进行了案例研究和比较，以验证所提出模型的有效性和可靠性。结果表明，该模型可以有效，定量地表达一个组内的差异，不同组的转化以及整个复杂指标的不确定性。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第18期|892549.1-892549.9|共9页
  • 作者

    Wang Mingwu; Xu Xinyu; Li Jian; Jin Juliang; Shen Fengqiang;

  • 作者单位

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Peoples R China.;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Peoples R China.;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Peoples R China.;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Peoples R China.;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Peoples R China.;

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