Novel extension evaluation model for stability of surrounding rock based on connection clouds
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摘要: 针对围岩稳定性评价具有模糊随机性及评价指标的区间离散分布特点,构建了基于联系云的围岩稳定性可拓评价模型,该模型首先依据评价指标的分类标准确定联系云数字特征,并通过联系云表达物元和标准可拓域,以模拟分析待评样本与评价标准间的关系,进而由云贴近度构建可拓综合评判矩阵,结合主、客观组合权重评定围岩稳定性类别,实现统一定量表征待评样本与等级间的动态联系,并给出待评样本所属等级的可靠度。实例应用及与其他方法对比的结果表明,该模型应用于围岩稳定性评价是有效可行的,为多重不相容指标的随机模糊性不确定分析提供了可能,克服了正态云模型不能有效模拟区间分布数据的缺陷。Abstract: In view of the problem that fuzziness, randomness and the interval and dispersion characteristics of the evaluation indexes exist in the process of evaluation of stability of surrounding rock, a novel evaluation model coupled with the extension theory and connection cloud model is described here. The evaluation process of this model is as follows. Firstly, the digital features of the connection cloud model are generated according to the classification standards. The relationship between the samples and the evaluation standards is simulated by the matter-element expression and standard extension field based on the connection cloud model. Then, the generation algorithm of connection clouds is discussed to analyze the certainty degrees of measured indexes to each evaluation standard, and they are used to set up the comprehensive evaluation matrix. Finally, the integrated evaluation vectors specified according to the measured data and the combination weights composed of subjective and objective weights are used to determinate the stability grades of surrounding rock and the dynamic relationship between the samples and each grade, and the credible degree of the evaluation results is further given. Case studies and comparison with other methods show that the proposed model is feasible and effective. It provides the possibility of uncertainty analysis for multiple incompatible indexes with fuzziness and randomness, and it can overcome the defects that the normal cloud model cannot effectively simulate the interval distribution data.
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Keywords:
- surrounding rock stability /
- connection cloud /
- extenics /
- combination weight /
- evaluation
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