岩土工程学报2011，Vol.33Issue(4)：643-647,5.
基于多元联系数一三角模糊数随机模拟的围岩稳定性风险评价
Risk evaluation of surrounding rock stability based on stochastic simulation of multi-element connection number and triangular fuzzy numbers
摘要
Abstract
The evaluation of surrounding rock stability is a complicate uncertainty system problem since it is influenced by many random, fuzzy and uncertainty factors.The traditional evaluation methods do not meet the need of the super-long, super-overlay and super-pressure underground projects.Consequently, a novel risk method to assess the surrounding rock stability is investigated to ensure the safety and economy of underground projects.Based on the theory of set pair analysis, triangular fuzzy numbers and stochastic simulation, an integrated risk evaluation model based on the set pair consisting of evaluation index sets and classification standard sets of the surrounding rock stability is discussed.A concept of multi-element connection number is introduced to express the hierarchy and fuzziness of membership between evaluation samples and classification standards, and the fuzziness among the grades is depicted by the interval censoring of triangular fuzzy numbers.Moreover, the stochastic simulation of Monte-Carlo method is presented to simulate the triangular fuzzy numbers for transforming the operations of the triangular fuzzy numbers and their functions into the conventional operations of real numbers.It can resolve the difficulties of operations of triangular fuzzy numbers and their functions.Combined with the weight of evaluation indexes, the integrated connection number is calculated to assess the credible degree of the grade of surrounding rock stability of the samples.Finally, a practical example is described to confirm and compare with the other methods of fuzzy mathematics, extenics and variable fuzzy sets.The results show that the proposed risk assessment model is more feasible andeasier to operate, and the results are good and provide an important basis for the risk design and construction of projects.关键词
集对分析/三角模糊数/联系数/随机模拟/围岩稳定性/风险评价Key words
set pair analysis/ triangular fuzzy number/connection number/ stochastic simulation/ surrounding rock stability/ risk evaluation分类
建筑与水利引用本文复制引用
汪明武,陈光怡,金菊良..基于多元联系数一三角模糊数随机模拟的围岩稳定性风险评价[J].岩土工程学报,2011,33(4):643-647,5.基金项目
国家自然科学基金项目(51079037) （51079037）
国家自然科学基金项目(40702049)安徽省优秀青年科技基金项目(08040106830) （40702049）
