基于粗糙集对势的优势断裂评价模型
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摘要
优势断裂找寻是区域稳定性评价的重要内容,关系到重大工程的安全运行和场址选择。本文基于粗糙集和集对分析理论,探讨了优势断裂的粗糙集对势评价模型,即首先据优势面理论确定了分析优势断裂的优势指标,应用粗糙集理论对待评断裂的评价指标进行约简,并基于属性重要性计算相应约简后指标的权重,通过集对分析理论计算待评样本与指标最优、最劣值的集对同一度和对立度及集对同势,进而提出相应的优势断裂集对同势判定标准,以确定工程区域优势断裂。实例应用和与其它方法对比分析结果表明,该模型应用于区域优势断裂评价是有效可行的且客观;规模优势指标、距离优势指标和时间优势指标对润扬大桥桥址区断裂活动性影响相对大,茅山断裂、郯庐断裂和长江断裂为工程区域优势断裂。
To find out preferred fault is of great importance for evaluation of regional stability and site selection. Herein, a novel model was presented to evaluate preferred fault based on rough set and set pair theory. Firstly, evaluation indexes were selected by means of the preferred plane theory. Then attribute reduction was conducted for evaluation samples, and objective weights were specified according to attribute importance of the reduced indexes. Moreover, the set pairs between evaluation samples and optimum or inferior indexes were constructed to analyze identical degree, contrary degree and set pair potential, and assessment model for preferred fault was also described. The results from the practical example show that dimension preferred index (LPI), distance preferred index (DPI) and time preferred index (TPI) have great influences on fault activity, and Maoshan fault, Tanlu fault and Yangtze river fault are preferred faults. Comparisons of these results from practical example with other methods show that this proposed method used to find out preferred fault is feasible and effective, and more objective.
To find out preferred fault is of great importance for evaluation of regional stability and site selection. Herein, a novel model was presented to evaluate preferred fault based on rough set and set pair theory. Firstly, evaluation indexes were selected by means of the preferred plane theory. Then attribute reduction was conducted for evaluation samples, and objective weights were specified according to attribute importance of the reduced indexes. Moreover, the set pairs between evaluation samples and optimum or inferior indexes were constructed to analyze identical degree, contrary degree and set pair potential, and assessment model for preferred fault was also described. The results from the practical example show that dimension preferred index (LPI), distance preferred index (DPI) and time preferred index (TPI) have great influences on fault activity, and Maoshan fault, Tanlu fault and Yangtze river fault are preferred faults. Comparisons of these results from practical example with other methods show that this proposed method used to find out preferred fault is feasible and effective, and more objective.
引文
黄庆华,马寅生,宋新初.1993.北京地区地震活动与稳定性的模糊综合评价.地质学报,67(3):195～207.
罗国煜,刘松玉,杨卫东.1992.区域稳定性优势面分析理论与方法.岩土工程学报,14(6):10～18.
孙芳强,苏生瑞,彭建兵.2010.西安地区活动断裂活动性的Fuzzy-Grey模式评价.工程地质学报,18(2):183～188.
汪明武,罗国煜.2000a.基于神经网络的优势断裂预报.工程地质学报,8(2):249～252.
汪明武,罗国煜.2000b.镇扬大桥工程区域稳定性的初步评价.水文地质工程地质,27(3):40～42.
阎长虹,刘松玉,杨卫东,方磊.2012.罗国煜教授优势面理论专辑.北京:地质出版社.
詹文欢,钟建强.1989.模糊综合评判在活动断裂分级中的应用.华南地震,9(4):15～21.
张文修.2001.粗糙集理论与方法.北京:科学出版社.
赵克勤.2000.集对分析及其初步应用.杭州:浙江科学技术出版社.
Wang M,Chen G.2011.A novel coupling model for risk analysis of swell and shrinkage of expansive soils.Computers and Mathematics with Applications,62(7):2854～2861.
罗国煜,刘松玉,杨卫东.1992.区域稳定性优势面分析理论与方法.岩土工程学报,14(6):10～18.
孙芳强,苏生瑞,彭建兵.2010.西安地区活动断裂活动性的Fuzzy-Grey模式评价.工程地质学报,18(2):183～188.
汪明武,罗国煜.2000a.基于神经网络的优势断裂预报.工程地质学报,8(2):249～252.
汪明武,罗国煜.2000b.镇扬大桥工程区域稳定性的初步评价.水文地质工程地质,27(3):40～42.
阎长虹,刘松玉,杨卫东,方磊.2012.罗国煜教授优势面理论专辑.北京:地质出版社.
詹文欢,钟建强.1989.模糊综合评判在活动断裂分级中的应用.华南地震,9(4):15～21.
张文修.2001.粗糙集理论与方法.北京:科学出版社.
赵克勤.2000.集对分析及其初步应用.杭州:浙江科学技术出版社.
Wang M,Chen G.2011.A novel coupling model for risk analysis of swell and shrinkage of expansive soils.Computers and Mathematics with Applications,62(7):2854～2861.
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